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20192026
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math.AG2026

Functoriality of logarithmic Hochschild homology of log smooth pairs

Ádám Gyenge, Márton Hablicsek, Leo Herr

The construction of a satisfactory dg category of logarithmic coherent sheaves remains a central open problem in logarithmic geometry. In this paper, we propose an alternative corr…

math.AG2025

The quantum D-module of product varieties

Ádám Gyenge

We study the quantum connection of product varieties in the framework of quantum cohomology. Our first main result shows that, near the origin of the Novikov variables, the quantum…

math.AG2024

Fixed point counts and motivic invariants of bow varieties of affine type A

Ádám Gyenge, Richárd Rimányi

We compute the equivariant K-theory of torus fixed points of Cherkis bow varieties of affine type A. We deduce formulas for the generating series of the Euler numbers of these vari…

math.AG2024

Noncommutative projective partial resolutions and quiver varieties

Søren Gammelgaard, Ádám Gyenge

Let be a finite subgroup. We introduce a class of projective noncommutative surfaces , indexed by a set of irreducible -represen…

math.AG2023

Slicing up multigraded linear series

Ádám Gyenge, Balázs Szendrői

Multigraded linear series generalize the classical morphism to the linear series of a basepoint-free line bundle on a scheme. We investigate the collection of the natural cornering…

math.AG2021

Rigid ideal sheaves and modular forms

Ádám Gyenge

Let be a complex smooth quasi-projective surface acted upon by a finite group such that the quotient has singularities only of ADE type. We obtain an explicit express…