8 papers
Slicing up multigraded linear series
Ãdám Gyenge, Balázs SzendrÅi
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…
Functoriality of logarithmic Hochschild homology of log smooth pairs
Ãdám 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…
The Heisenberg algebra of a vector space and Hochschild homology
Ãdám Gyenge, Timothy Logvinenko
We decategorify the Heisenberg 2-category of Gyenge-Koppensteiner-Logvinenko using Hochschild homology. We use this to generalise the Heisenberg algebra action of Grojnowski and Na…
The Heisenberg category of a category
Ãdám Gyenge, Clemens Koppensteiner, Timothy Logvinenko
Starting with a k-linear or DG category admitting a (homotopy) Serre functor, we construct a k-linear or DG 2-category categorifying the Heisenberg algebra of the numerical K-group…
The quantum D-module of product varieties
Ãdám 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…
Noncommutative projective partial resolutions and quiver varieties
Søren Gammelgaard, Ãdám Gyenge
Let be a finite subgroup. We introduce a class of projective noncommutative surfaces , indexed by a set of irreducible -repres…