Algebraic Geometry

Papers
(The median citation count of Algebraic Geometry is 0. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-10-01 to 2025-10-01.)
ArticleCitations
Class field theory, Hasse principles and Picard–Brauer duality for two-dimensional local rings17
Néron blowups and low-degree cohomological applications16
On $k$-rational and $k$-Du Bois local complete intersections14
A Serre-type spectral sequence for motivic cohomology12
Azumaya algebras with involution and classical semisimple group schemes11
On the construction of valuations and generating sequences on hypersurface singularities7
Modular sheaves on hyperkähler varieties6
Generating the plane Cremona groups by involutions6
Del Pezzo quintics as equivariant compactifications of vector groups6
The Chow rings of moduli spaces of elliptic surfaces over ${\mathbb P}^1$5
Smoothing semi-smooth stable Godeaux surfaces5
Standard stable Horikawa surfaces5
Equivariant categories of symplectic surfaces and fixed loci of Bridgeland moduli spaces5
4
Prill's problem4
On global generation of vector bundles on the moduli space of curves from representations of \n vertex operator algebras4
Basepoint-freeness thresholds and higher syzygies of abelian threefolds4
Deformations and rigidity for mixed period maps4
On the behavior of the Kodaira dimension under smooth morphisms4
Essential dimension of extensions of finite groups by tori4
Versality of Brill–Noether flags and degeneracy loci of twice-marked curves4
Nakano positivity of singular Hermitian metrics and vanishing theorems \n of Demailly–Nadel–Nakano type4
Twisted cubics on cubic fourfolds and stability conditions3
On wormholes in the moduli space of surfaces3
On the local étale fundamental group of KLT threefold singularities \n (with an appendix by János Kollár)3
On the Kodaira dimension of the moduli of deformation generalised Kummer varieties3
Subvarieties of geometric genus zero of a very general hypersurface3
On the rationality of Fano–Enriques threefolds3
2
Canonical models of toric hypersurfaces2
Tame stacks and log flat torsors2
Higher-genus quasimap wall-crossing via localization2
Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic2
Moret-Bailly families and non-liftable schemes2
Irreducible symplectic varieties from moduli spaces of sheaves on K3 and Abelian surfaces2
The diagonal of quartic fivefolds2
Factorization centers in dimension 2 and the Grothendieck ring of varieties2
Curve classes on conic bundle threefolds and applications to rationality2
Derived categories of families of Fano threefolds2
Gluing for stable families of surfaces in mixed characteristic1
1
Dense entire curves in rationally connected manifolds (with an appendix by János Kollár)1
A non-Archimedean analogue of Campana's notion of specialness1
Global generation of test ideals in mixed characteristic and applications1
1
Refined invariants of flopping curves and finite-dimensional Jacobi algebras1
Mather classes and conormal spaces of Schubert varieties in cominuscule spaces1
Finite torsors on projective schemes defined over a discrete valuation ring1
Erratum: On the monodromy of irreducible symplectic manifolds \n (Algebraic Geometry 3 (2016), no. 3, 385–391)1
A note on spherical bundles on K3 surfaces (with an appendix by Genki Ouchi)1
Bivariant algebraic cobordism with bundles1
Deformations of categories of coherent sheaves via quivers with relations0
Deformations of rational curves on primitive symplectic varieties and applications0
Moduli of elliptic $K3$ surfaces: Monodromy and Shimada root lattice strata \n (with an appendix by Markus Kirschmer)0
Cohomology of flag supervarieties and resolutions of determinantal ideals0
RDP del Pezzo surfaces with global vector fields in odd characteristic0
Logarithmic intersections of double ramification cycles0
Logarithmic resolution via weighted toroidal blow-ups0
Inversion of adjunction for quotient singularities0
Logarithmic Gromov–Witten theory with expansions0
A stacky approach to identifying the semistable locus of bundles0
Two coniveau filtrations and algebraic equivalence over finite fields0
Multiple cover formulas for complex and refined invariants in abelian surfaces0
A counterexample to the parity conjecture0
An obstruction to lifting to characteristic 00
Derived invariants from topological Hochschild homology0
Maximal tori of monodromy groups of $F$-isocrystals and an application to abelian varieties0
Compactifying the rank 2 Hitchin system via spectral data on semistable curves0
Borel–Moore homology of determinantal varieties0
Modular forms with poles on hyperplane arrangements0
Deformation of rational singularities and Hodge structure0
An intersection-theoretic proof of the Harer–Zagier fomula0
Motivic integration over wild Deligne–Mumford stacks0
0
Counting invariant curves: A theory of Gopakumar–Vafa invariants \n for Calabi–Yau threefolds with an involution0
Curve counting in genus one: Elliptic singularities and relative geometry0
The dual Lagrangian fibration of known hyper-Kähler manifolds0
Direct images of pluricanonical bundles and Frobenius stable canonical rings of fibers0
Analytification of mapping stacks0
Cancellation theorems for reciprocity sheaves0
On tamely ramified $\mathcal G$-bundles on curves (with an appendix by Brian Conrad)0
Multiplicative bounds for measures of irrationality on complete intersections0
Quasi-plurisubharmonic envelopes 2: Bounds on Monge–Ampère volumes0
MBM classes and contraction loci on low-dimensional hyperkähler manifolds of K3${}^{[n]}$ type0
Planes in cubic fourfolds0
On K-moduli of quartic threefolds0
Functoriality of HKR isomorphisms0
Inversion of adjunction for quotient singularities II: Non-linear actions0
Moduli of flat connections on smooth varieties0
A cohomological nonabelian Hodge Theorem in positive characteristic0
Birational geometry for d-critical loci and wall-crossing in Calaby–Yau 3-folds0
Faisceaux caractères sur les espaces de lacets d'algèbres de Lie0
On K-stability of Fano weighted hypersurfaces0
On the global generation of higher direct images of pluricanonical bundles0
On the boundedness of $n$-folds with $\kappa(X)=n-1$0
Injectivity theorems with multiplier ideal sheaves for higher direct images under Kähler morphisms0
Relative vanishing theorems for $\mathbf{Q}$-schemes0
A functorial approach to regular homomorphisms0
Rational curves on lattice-polarised K3 surfaces0
Punctual Hilbert schemes for Kleinian singularities as quiver varieties0
Cancellation theorems for Kähler differentials0
Generators for the cohomology ring of the moduli of 1-dimensional sheaves on $\mathbb{P}^2$0
The Hrushovski–Lang–Weil estimates0
New rational cubic fourfolds arising from Cremona transformations0
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