math.AG papers | Gist.Science

Stability conditions on noncommutative crepant resolutions of 3-dimensional isolated singularities

This paper constructs a mutation cone and a corresponding wall-and-chamber structure for maximal modifying modules over 3-dimensional Gorenstein isolated singularities, proving that the tilting-noetherian property holds if and only if all such modules are mutation-connected, and establishing a regular covering map from a specific subspace of Bridgeland stability conditions to the complexified mutation cone to describe the associated autoequivalence group.

Wahei Hara, Yuki Hirano2026-03-06🔢 math

The Archimedean height pairing for differential forms on degeneration of Riemann surfaces

This paper defines and analyzes the asymptotic behavior of the Archimedean height pairing for fiberwise cohomologically trivial differential forms on one-parameter degenerations of Riemann surfaces, utilizing Dai--Yoshikawa's results on small eigenvalues to extend the current-valued pairing of Filip--Tosatti to broader geometric settings.

Junyu Cao2026-03-06🔢 math

On the irrationality of cubic fourfolds

Building on the work of Katzarkov, Kontsevich, Pantev, and Yu regarding the irrationality of very general cubic fourfolds, this paper establishes that the primitive cohomology of any rational smooth complex cubic fourfold is isomorphic as a Hodge structure to the twisted middle cohomology of a projective K3 surface.

Jérémy Guéré2026-03-06🔢 math

Dualizing complexes for algebraic stacks

This paper investigates dualizing complexes on algebraic stacks, specifically establishing their existence for tame Deligne–Mumford stacks of equicharacteristic under very general conditions.

Pat Lank2026-03-06🔢 math

Notes on rational chain connectedness

This paper extends Hacon–McKernan's rational chain connectedness theorem to the complex analytic setting using the minimal model program, thereby proving that fibers of resolutions of complex analytic Kawamata log terminal singularities are rationally chain connected without relying on extension theorems.

Osamu Fujino2026-03-06🔢 math

Weil restriction and the motivic cycle class map

This paper constructs the Weil restriction map for mixed Weil cohomology theories and demonstrates its compatibility with the motivic cycle class map by proving that these constructions arise intrinsically from the six-functor formalism within triangulated categories of motives.

Qi Ge, Guangzhao Zhu2026-03-06🔢 math

Generic flatness of the cohomology of thickenings

This paper establishes a generic flatness result for the cohomology of thickenings of smooth projective schemes over characteristic zero Noetherian domains, while simultaneously demonstrating that for nine points in the projective plane, the associated local cohomology module fails to be generically free and possesses infinitely many associated prime ideals, thereby addressing open questions regarding the constancy of the least degree of hypersurfaces with prescribed multiplicities.

Edoardo Ballico, Yairon Cid-Ruiz, Anurag K. Singh2026-03-06🔢 math

On Pseudo-Effectivity and Volumes of Adjoint Classes in Kähler Families with Projective Central Fiber

This paper investigates the deformation behavior of pseudo-effective canonical divisors and volumes of adjoint classes in Kähler families, establishing global stability results under specific conditions and confirming Siu's invariance of plurigenera conjecture for smooth Kähler threefolds.

Christopher D. Hacon, Yi Li, Sheng Rao2026-03-06🔢 math

Toroidal and toric models of fibrations over curves

This paper constructs relatively bounded toroidal and toric models for fibrations over curves.

Caucher Birkar2026-03-06🔢 math

Lifting derived equivalences of abelian surfaces to generalized Kummer varieties

This paper establishes a $G$ -equivariant analogue of Orlov's short exact sequence for derived categories of abelian varieties and utilizes this framework, along with splitting propositions, to lift derived equivalences of abelian surfaces to generalized Kummer varieties.

Yuxuan Yang2026-03-06🔢 math

Regularity of the volume function

This paper establishes the optimal $C^{1,1}$ regularity of the volume function on the big cone of a projective manifold and examines its regularity when restricted to segments moving in ample directions.

Junyu Cao, Valentino Tosatti2026-03-06🔢 math

Beilinson's conjecture on K3 surfaces with an involution

This paper proves that the Beilinson conjecture holds for specific K3 surfaces over $\bar{\mathbb{Q}}$ equipped with an involution, provided their quotient by the involution is a projective plane branched along a sextic curve.

Kalyan Banerjee2026-03-06🔢 math

Tropical trigonal curves

This paper establishes the equivalence between the existence of a specific divisor and a non-degenerate harmonic morphism on 3-edge connected tropical curves to define their moduli spaces, ultimately proving that the dimension of the moduli space of tropical trigonal curves matches that of their algebraic counterparts.

Margarida Melo, Angelina Zheng2026-03-06🔢 math

MMP for Enriques pairs and singular Enriques varieties

This paper introduces the class of primitive Enriques varieties, demonstrates their stability under the Minimal Model Program by proving that $(K_Y+B_Y)$ -MMPs for Enriques manifolds terminate with minimal models having canonical singularities, and investigates their asymptotic theory.

Francesco Antonio Denisi, Ángel David Ríos Ortiz, Nikolaos Tsakanikas + 1 more2026-03-06🔢 math

Gersten-type conjecture for henselian local rings of normal crossing varieties

This paper proves a Gersten-type conjecture for étale sheaves, including étale logarithmic Hodge-Witt sheaves and $l$ -adic Tate twists, over henselian local rings of normal crossing varieties in positive characteristic, and applies this result to establish a relative version of the conjecture for $p$ -adic étale Tate twists over semistable families in mixed characteristic as well as a generalization of Artin's theorem on Brauer groups.

Makoto Sakagaito2026-03-06🔢 math

On canonical bundle formula for fibrations of curves with arithmetic genus one

This paper establishes canonical bundle formulas for fibrations of curves with arithmetic genus one in characteristic $p>0$ , distinguishing between separable and inseparable cases, and applies these results to prove that a klt pair with a nef anti-log canonical divisor and a relative dimension one Albanese morphism is a fiber space over its Albanese variety.

Jingshan Chen, Chongning Wang, Lei Zhang2026-03-06🔢 math

Hodge-Gromov-Witten theory

This paper determines the all-genus Hodge-Gromov-Witten theory for smooth hypersurfaces in weighted projective spaces defined by chain, loop, or general invertible polynomials, providing the first genus-zero Gromov-Witten invariants for non-Gorenstein ambient spaces where convexity fails.

Jérémy Guéré2026-03-06🔢 math

Metric Rarity and the Emergence of Symmetry in G-Invariant Potential Surfaces

This paper establishes that the real image of a G-invariant variety is metrically rare within its quotient space, a geometric property that explains the prevalence of symmetry in optimization problems by showing that critical points and global minima are statistically driven toward high-symmetry boundary strata.

Irmi Schneider2026-03-06🔬 physics

Flops and Hilbert schemes of space curve singularities

This paper establishes a relationship between the Euler numbers of moduli spaces of stable pairs supported on singular space curves and those of Flag Hilbert schemes associated with plane curve singularities by utilizing pagoda flop transitions, thereby deriving explicit results for locally complete intersection singularities.

Duiliu-Emanuel Diaconescu, Mauro Porta, Francesco Sala + 1 more2026-03-06🔬 physics

Index and Robustness of Mixed Equilibria: An Algebraic Approach

This paper introduces an algebraic method, based on Eisenbud et al. (1977), for computing the index of completely mixed equilibria in finite games to demonstrate that any integer can be such an index, while showing that for monogenic equilibria the index is restricted to $\{-1, 0, 1\}$ with non-zero values equivalent to payoff-robustness, and further extends these findings to extensive-form and boundary equilibria.

Lucas Pahl2026-03-05🔢 math

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