OOIR: Observatory of International Research

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 2022-01-01 to 2026-01-01.)

Article	Citations
Class field theory, Hasse principles and Picard–Brauer duality for two-dimensional local rings	18
Néron blowups and low-degree cohomological applications	17
On $k$-rational and $k$-Du Bois local complete intersections	14
A Serre-type spectral sequence for motivic cohomology	12
Azumaya algebras with involution and classical semisimple group schemes	11
Del Pezzo quintics as equivariant compactifications of vector groups	8
Varieties with representable $\mathrm{CH}_0$-group and a question of Colliot-Thélène	6
The Euler characteristic of $\mathcal{A}_g$ via Hodge integrals	5
Modular sheaves on hyperkähler varieties	5
Smoothing semi-smooth stable Godeaux surfaces	5
Families of simple Jacobians with many automorphisms	5
Equivariant categories of symplectic surfaces and fixed loci of Bridgeland moduli spaces	5
Generating the plane Cremona groups by involutions	5
Standard stable Horikawa surfaces	5
	4
On global generation of vector bundles on the moduli space of curves from representations of \n vertex operator algebras	4
Rational approximation on cubic hypersurfaces	4
Basepoint-freeness thresholds and higher syzygies of abelian threefolds	4
Nakano positivity of singular Hermitian metrics and vanishing theorems \n of Demailly–Nadel–Nakano type	4
Versality of Brill–Noether flags and degeneracy loci of twice-marked curves	4
On the behavior of the Kodaira dimension under smooth morphisms	4
The Chow rings of moduli spaces of elliptic surfaces over ${\mathbb P}^1$	4
On the Kodaira dimension of the moduli of deformation generalised Kummer varieties	3
Deformations and rigidity for mixed period maps	3
On the local étale fundamental group of KLT threefold singularities \n (with an appendix by János Kollár)	3

On wormholes in the moduli space of surfaces	3
	3
Prill's problem	3
On the rationality of Fano–Enriques threefolds	3
Subvarieties of geometric genus zero of a very general hypersurface	3
Canonical models of toric hypersurfaces	2
Cohomological invariants and Brauer groups of algebraic stacks in positive characteristic	2
Higher-genus quasimap wall-crossing via localization	2
	2
Factorization centers in dimension 2 and the Grothendieck ring of varieties	2
Derived categories of families of Fano threefolds	2
The diagonal of quartic fivefolds	2
Twisted cubics on cubic fourfolds and stability conditions	2
Moret-Bailly families and non-liftable schemes	2
Irreducible symplectic varieties from moduli spaces of sheaves on K3 and Abelian surfaces	2
Curve classes on conic bundle threefolds and applications to rationality	2
Erratum: On the monodromy of irreducible symplectic manifolds \n (Algebraic Geometry 3 (2016), no. 3, 385–391)	1
Finite torsors on projective schemes defined over a discrete valuation ring	1
Bivariant algebraic cobordism with bundles	1
Dense entire curves in rationally connected manifolds (with an appendix by János Kollár)	1
Cohomology of flag supervarieties and resolutions of determinantal ideals	1
A motivic change of variables formula for Artin stacks	1
	1
Tame stacks and log flat torsors	1
Kodaira dimension of moduli spaces of hyperkähler varieties	1
A note on spherical bundles on K3 surfaces (with an appendix by Genki Ouchi)	1
Global generation of test ideals in mixed characteristic and applications	1
Gluing for stable families of surfaces in mixed characteristic	1
Refined invariants of flopping curves and finite-dimensional Jacobi algebras	1
Mather classes and conormal spaces of Schubert varieties in cominuscule spaces	1
The smooth Mordell–Weil group and mapping class groups of elliptic surfaces	0
Generic curves and non-coprime Catalan numbers	0
A cohomological nonabelian Hodge Theorem in positive characteristic	0
Multiplicative bounds for measures of irrationality on complete intersections	0
Deformations of rational curves on primitive symplectic varieties and applications	0
The Hrushovski–Lang–Weil estimates	0
Faisceaux caractères sur les espaces de lacets d'algèbres de Lie	0
Unimodular hunting	0
Inversion of adjunction for quotient singularities	0
Moduli of ﬂat connections on smooth varieties	0
On the boundedness of $n$-folds with $\kappa(X)=n-1$	0
A letter from the editors	0
A stacky approach to identifying the semistable locus of bundles	0
Maximal tori of monodromy groups of $F$-isocrystals and an application to abelian varieties	0
Tautological projection for cycles on the moduli space of abelian varieties	0
New rational cubic fourfolds arising from Cremona transformations	0
Multiple cover formulas for complex and refined invariants in abelian surfaces	0
A non-Archimedean analogue of Campana's notion of specialness	0
On tamely ramified $\mathcal G$-bundles on curves (with an appendix by Brian Conrad)	0
On K-moduli of quartic threefolds	0

Generators for the cohomology ring of the moduli of 1-dimensional sheaves on $\mathbb{P}^2$	0
Logarithmic resolution via weighted toroidal blow-ups	0
Motivic integration over wild Deligne–Mumford stacks	0
Cancellation theorems for Kähler differentials	0
On K-stability of Fano weighted hypersurfaces	0
Borel–Moore homology of determinantal varieties	0
Relative vanishing theorems for $\mathbf{Q}$-schemes	0
Deformations of categories of coherent sheaves via quivers with relations	0
Logarithmic Gromov–Witten theory with expansions	0
Birational invariance in punctured log Gromov–Witten theory	0
Direct images of pluricanonical bundles and Frobenius stable canonical rings of fibers	0
	0
Analytification of mapping stacks	0
RDP del Pezzo surfaces with global vector fields in odd characteristic	0
Compactifying the rank 2 Hitchin system via spectral data on semistable curves	0
Modular forms with poles on hyperplane arrangements	0
A functorial approach to regular homomorphisms	0
An intersection-theoretic proof of the Harer–Zagier fomula	0
Slopes of Siegel cusp forms and geometry of compactified Kuga varieties	0
An obstruction to lifting to characteristic 0	0
Quasi-plurisubharmonic envelopes 2: Bounds on Monge–Ampère volumes	0
Logarithmic intersections of double ramification cycles	0
Derived invariants from topological Hochschild homology	0
Moduli of elliptic $K3$ surfaces: Monodromy and Shimada root lattice strata \n (with an appendix by Markus Kirschmer)	0
MBM classes and contraction loci on low-dimensional hyperkähler manifolds of K3${}^{[n]}$ type	0
Rational curves on lattice-polarised K3 surfaces	0
Functoriality of HKR isomorphisms	0
On the global generation of higher direct images of pluricanonical bundles	0
Deformation of rational singularities and Hodge structure	0
The dual Lagrangian fibration of known hyper-Kähler manifolds	0
A counterexample to the parity conjecture	0
Injectivity theorems with multiplier ideal sheaves for higher direct images under Kähler morphisms	0
Birational geometry for d-critical loci and wall-crossing in Calaby–Yau 3-folds	0
Cancellation theorems for reciprocity sheaves	0
Planes in cubic fourfolds	0
Counting invariant curves: A theory of Gopakumar–Vafa invariants \n for Calabi–Yau threefolds with an involution	0
Inversion of adjunction for quotient singularities II: Non-linear actions	0
Two coniveau filtrations and algebraic equivalence over finite fields	0