activity
20162026
most cited-fixed Hilbert schemes on surfaces, modular forms, and eta products

5 citations · 6 across the 9 of their papers we have counts for

collaborators

11 papers

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.KT2022

On a sequence of Grothendieck groups

Ádám Gyenge

We show that a well-known exact sequence in K-theory for quotients of triangulated categories descends to numerical K-groups provided that the category, the quotient and the catego…

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…

math.AG2019

Young walls and equivariant Hilbert schemes of points in type D

Ádám Gyenge

We give a combinatorial proof for a multivariable formula of the generating series of type D Young walls. Based on this we give a motivic refinement of a formula for the generating…

math.AG2019

Punctual Hilbert schemes for Kleinian singularities as quiver varieties

Alastair Craw, Søren Gammelgaard, Ádám Gyenge +1

For a finite subgroup and , we construct the (reduced scheme underlying the) Hilbert scheme of points on the Kleinian singularity…

math.AG2019★ 5 cited

-fixed Hilbert schemes on surfaces, modular forms, and eta products

Jim Bryan, Ádám Gyenge

Let be a complex surface with an effective action of a group which preserves the holomorphic symplectic form. Let $$ Z_{X,G}(q) = \sum_{n=0}^{\infty} e\left(\operatorn…

math.AG2016★ 1 cited

Hilbert schemes of points on some classes of surface singularities

Ádám Gyenge

We study the geometry and topology of Hilbert schemes of points on the orbifold surface [C^2/G], respectively the singular quotient surface C^2/G, where G is a finite subgroup of S…