Algebra & Number Theory

Article	Citations
Resolution of ideals associated to subspace arrangements	27
Sur les espaces homogènes de Borovoi–Kunyavskii	14
Computing integral points on Xns+(p)	13
Frobenius splitting of valuation rings and F-singularities of centers	9
The Chow ring of the classifying space of the unitary group	8
Projective orbifolds of Nikulin type	8
Global dimension of real-exponent polynomial rings	7
Gromov–Witten theory of [ℂ2∕ℤn+1] × ℙ1	7
The local Langlands correspondence for GLn over function fields	7
Wild ramification, nearby cycle complexes, and characteristic cycles of ℓ-adic sheaves	7
A proof of the Brown–Goodearl conjecture for module-finite weak Hopf algebras	7
Height of rational points on random Fano hypersurfaces	7
Index of coregularity zero log Calabi–Yau pairs	7
On the ordinary Hecke orbit conjecture	6
	6
Supersolvable descent for rational points	5
Arithmetic properties of Fourier coefficients of meromorphic modular forms	5
On some modular contractions of the moduli space of stable pointed curves	5
The diagonal coinvariant ring of a complex reflection group	5
The integral monodromy of isolated quasihomogeneous singularities	5
A transference principle for systems of linear equations, and applications to almost twin primes	4
Balmer spectra and Drinfeld centers	4
Frobenius lifts and elliptic curves with complex multiplication	4
Moduli spaces of morphisms into solvable algebraic groups	4
Morphismes de périodes et cohomologie syntomique	4

Constructions of difference sets in nonabelian 2-groups	4
A case study of intersections on blowups of the moduli of curves	4
Equidistribution and freeness on Grassmannians	4
	4
Elements of given order in Tate–Shafarevich groups of abelian varieties in quadratic twist families	4
Refined height pairing	4
	3
The G-stable rank for tensors and the cap set problem	3
The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums	3
On moment map and bigness of tangent bundles of G-varieties	3
A bound for the exterior product of S-units	3
One-level density estimates for Dirichlet L-functions with extended support	3
Lower bounds for discrete negative moments of the Riemann zeta function	3
A quaternionic Saito–Kurokawa lift and cusp forms on G2	3
Shintani–Barnes cocycles and values of the zeta functions of algebraic number fields	3
Algebraic maps constant on isomorphism classes of unpolarized abelian varieties are constant	3
Prime values of f(a,b2) and f(a,p2), f quadratic	3
On Tamagawa numbers of CM tori	3
Topological spectrum and perfectoid Tate rings	3
Quotients of admissible formal schemes and adic spaces by finite groups	3
Uniform bounds for the number of rational points on varieties over global fields	3
The F-rational signature and drops in the Hilbert–Kunz multiplicity	3
A unipotent realization of the chromatic quasisymmetric function	3
Spectral moment formulae for GL(3) ×GL(2)L-functions I : The cuspidal case	2
Universal abelian variety and Siegel modular forms	2
Higher frames and G-displays	2
Word measures on GLn(q) and free group algebras	2
	2
The log product formula	2
	2
Axiomatizing the existential theory of ????q((t))	2
Integral p-adic Hodge theory of formal schemes in low ramification	2
Motivic Euler products in motivic statistics	2
	2
The geometric average size of Selmer groups over function fields	2
Roth’s Theorem over arithmetic function fields	2
The wavefront sets of unipotent supercuspidal representations	2
Ranks of abelian varieties in cyclotomic twist families	2
Separating G2-invariants of several octonions	2
On the μ-invariants of abelian varieties over function fields of positive characteristic	2
Reduction type of smooth plane quartics	2
Essential finite generation of valuation rings in characteristic zero algebraic function fields	2
On odd-dimensional modular tensor categories	2
p-groups, p-rank, and semistable reduction of coverings of curves	2
Base sizes for primitive groups with soluble stabilisers	2
Generic planar algebraic vector fields are strongly minimal and disintegrated	2
Automorphisms of Cartan modular curves of prime and composite level	2
Skeletons of Prym varieties and Brill–Noether theory	2
The distribution of large quadratic character sums and applications	2
	2

Picard rank jumps for K3 surfaces with bad reduction	2
Correction à l’article Sous-groupe de Brauer invariant et obstruction de descente itérée	2
Quadratic points on intersections of two quadrics	2
	2
Cohomology of cluster varieties, I: Locally acyclic case	2
Stability of normal bundles of space curves	2
The mean values of cubic L-functions over function fields	2
On self-correspondences on curves	1
Semisimple algebras and PI-invariants of finite dimensional algebras	1
Patching and multiplicity 2k for Shimura curves	1
Canonical integral models for Shimura varieties of toral type	1
Divisibility of character values of the symmetric group by prime powers	1
A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms	1
Categorifications of rational Hilbert series and characters of FSop modules	1
Statistics of the first Galois cohomology group : A refinement of Malle’s conjecture	1
Vinogradov’s theorem with Fouvry–Iwaniec primes	1
Geometric properties of the Kazhdan–Lusztig Schubert basis	1
On the geometry of geometric rank	1
The Hasse principle for diagonal forms restricted to lower-degree hypersurfaces	1
Isotriviality, integral points, and primitive primes in orbits in characteristic p	1
Tautological cycles on tropical Jacobians	1
The Navarro conjecture for the alternating groups	1
	1
A note on Lie algebra cohomology	1
Serre weight conjectures for p-adic unitary groups of rank 2	1
On the variation of Frobenius eigenvalues in a skew-abelian Iwasawa tower	1
Ribbon Schur functors	1
	1
Functorial embedded resolution via weighted blowings up	1
	1
	1
Serre weights for three-dimensional wildly ramified Galois representations	1
Locally analytic vector bundles on the Fargues–Fontaine curve	1
Tame fundamental groups of pure pairs and Abhyankar’s lemma	1
Galois orbits of torsion points near atoral sets	1
Positivity determines the quantum cohomology of Grassmannians	1
Correction to the article Height bounds and the Siegel property	1
Combining Igusa’s conjectures on exponential sums and monodromy with semicontinuity of the minimal exponent	1
Exceptional characters and prime numbers in sparse sets	1
Pathological behavior of arithmetic invariants of unipotent groups	1
An equivariant Tamagawa number formula for Drinfeld modules and applications	1
	1
	1
	1
Efficient resolution of Thue–Mahler equations	1
Local constancy of intersection numbers	1
	1
Subconvexity bound for GL(3) ×GL(2)L-functions : Hybrid level aspect	1
Rooted tree maps for multiple L-values from a perspective of harmonic algebras	1
	1
On the automorphy of 2-dimensional potentially semistable deformation rings of Gℚp	1
Waring and cactus ranks and strong Lefschetz property for annihilators of symmetric forms	1
	1
Rational approximations on toric varieties	1
Polyhedral and tropical geometry of flag positroids	1
Sums of two squares are strongly biased towards quadratic residues	1
Equidistribution of shapes of complex cubic fields of fixed quadratic resolvent	1
Functional transcendence for the unipotent Albanese map	1
A categorical Künneth formula for constructible Weil sheaves	1
The behavior of essential dimension under specialization, II	0
On the mixed Tate property and the motivic class of the classifying stack of a finite group	0
A p-adic Simpson correspondence for rigid analytic varieties	0
McKay bijections for symmetric and alternating groups	0
Partial sums of typical multiplicative functions over short moving intervals	0
Entirety of certain cuspidal Eisenstein series on Kac–Moody groups	0
Multiplicity structure of the arc space of a fat point	0
The geometric Breuil–Mézard conjecture for two-dimensional potentially Barsotti–Tate Galois representations	0
The unit equation over cyclic number fields of prime degree	0
Multiplicities and Betti numbers in local algebra via lim Ulrich points	0
Application of a polynomial sieve: beyond separation of variables	0
Free rational curves on low degree hypersurfaces and the circle method	0
Quadratic relations between Bessel moments	0
The Manin–Mumford conjecture and the Tate–Voloch conjecture for a product of Siegel moduli spaces	0
Maximizing Sudler products via Ostrowski expansions and cotangent sums	0
Support varieties and modules of finite projective dimension for modular Lie superalgebras	0
Reconstructing function fields from Milnor K-theory	0
Some refinements of the Deligne–Illusie theorem	0
On unipotent radicals of motivic Galois groups	0
Wide moments of L-functions I : Twists by class group characters of imaginary quadratic fields	0
Decidability via the tilting correspondence	0

Residual Galois representations of elliptic curves with image contained in the normaliser of a nonsplit Cartan	0
	0
	0
Torsion points on elliptic curves over number fields of small degree	0
Classification of subbundles on the Fargues–Fontaine curve	0
Cohomologie analytique des arrangements d’hyperplans	0
Constructions of difference sets in nonabelian 2-groups	0
On the first nontrivial strand of syzygies of projective schemes and condition ND(ℓ)	0
	0
On rationally connected varieties over C1 fields of characteristic 0	0
Twisted derived equivalences and isogenies between K3 surfaces in positive characteristic	0
Rank 2 local systems, Barsotti–Tate groups, and Shimura curves	0
Geometric properties of the Kazhdan–Lusztig Schubert basis	0
Saturation bounds for smooth varieties	0
	0
	0
Enumeration of conjugacy classes in affine groups	0
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic	0
Separation of periods of quartic surfaces	0
A transference principle for systems of linear equations, and applications to almost twin primes	0
Sporadic cubic torsion	0
Artin’s conjecture for Drinfeld modules	0
Manin’s conjecture and the Fujita invariant of finite covers	0
	0
Experiments on the Brauer map in high codimension	0
Rational dynamical systems, S-units, and D-finite power series	0
Descent on elliptic surfaces and arithmetic bounds for the Mordell–Weil rank	0
Elliptic (p,q)-difference modules	0
A number theoretic characterization of E-smooth and (FRS) morphisms : estimates on the number of ℤ∕pkℤ-points	0
Frobenius–Witt differentials and regularity	0
Support theory for Drinfeld doubles of some infinitesimal group schemes	0
On the commuting probability of p-elements in a finite group	0
Fundamental exact sequence for the pro-étale fundamental group	0
On the Breuil–Schneider conjecture : generic case	0
	0
Tate modules of isocrystals and good reduction of Drinfeld modules	0
Weakly special test configurations of log canonical Fano varieties	0
Noncommutative Knörrer’s periodicity theorem and noncommutative quadric hypersurfaces	0
Algebraic realization of noncommutative near-group fusion categories	0
	0
Unipotent ℓ-blocks for simply connected p-adic groups	0
Differential operators, retracts, and toric face rings	0
Snowflake modules and Enright functor for Kac–Moody superalgebras	0
	0
Correction to the article Lefschetz theorem for abelian fundamental group with modulus	0
	0
	0
Unramifiedness of weight 1 Hilbert Hecke algebras	0
Terminal orders on arithmetic surfaces	0
Square-free OM computation of global integral bases	0
Algebraic cycles and functorial lifts from G2 to PGSp6	0
A deterministic algorithm for Harder–Narasimhan filtrations for representations of acyclic quivers	0
Sato–Tate equidistribution for families of Hecke–Maass forms on SL(n, ℝ)∕SO(n)	0
The de Rham–Fargues–Fontaine cohomology	0
Boundedness of log pluricanonical representations of log Calabi–Yau pairs in dimension 2	0
On the p-adic interpolation of unitary Friedberg–Jacquet periods	0
On the distribution of lattice points on hyperbolic circles	0
Birational geometry of moduli spaces of configurations of points on the line	0
The universal unramified module for GL(n) and the Ihara conjecture	0
Tautological rings of Shimura varieties and cycle classes of Ekedahl–Oort strata	0
The arithmetic Kuznetsov formula on GL(3), II: The general case	0
On Héthelyi–Külshammer’s conjecture for principal blocks	0
Bézoutians and the ????1-degree	0
Zero-sum subsets in vector spaces over finite fields	0
The average size of the 2-Selmer group of a family of non-hyperelliptic curves of genus 3	0
Tamely ramified covers of the projective line with alternating and symmetric monodromy	0
	0
Semistable models for some unitary Shimura varieties over ramified primes	0
Odd moments in the distribution of primes	0
Distinction inside L-packets of SL(n)	0
Spectral reciprocity via integral representations	0
Additive properties of numbers with restricted digits	0
The principal block of a ℤℓ-spets and Yokonuma type algebras	0
Enveloppe étale de morphismes plats	0
Tamagawa numbers and other invariants of pseudoreductive groups over global function fields	0
Super-Hölder vectors and the field of norms	0
On fake linear cycles inside Fermat varieties	0
Sato–Tate equidistribution for families of automorphic representations through the stable trace formula	0
	0
Multiplicities of jumping numbers	0
The Hodge ring of varieties in positive characteristic	0
GKM-theory for torus actions on cyclic quiver Grassmannians	0
Modèle local des schémas de Hilbert–Siegel de niveau Γ1(p)	0
A geometric classification of the holomorphic vertex operator algebras of central charge 24	0
Arbitrarily large Morita Frobenius numbers	0
Flag manifolds over semifields	0
On the D-module of an isolated singularity	0
Differentially large fields	0
The Erdős–Selfridge problem with square-free moduli	0
Automorphisms of del Pezzo surfaces in characteristic 2	0
Fermat’s last theorem over ℚ(,)	0
Tame fundamental groups of pure pairs and Abhyankar’s lemma	0
Operations in connective K-theory	0
Cotangent bundle and microsupports in the mixed characteristic case	0
Transcendental series of reciprocals of Fibonacci and Lucas numbers	0