154 citations · 597 across the 28 of their papers we have counts for
24 papers · 1 filter
On the Cox rings of some hypersurfaces
Andrew Pollock, Atsushi Ito, Balazs Szendroi
We introduce a cohomological method to compute Cox rings of hypersurfaces in the ambient space P^1 x P^n, which is more direct than existing methods. We prove that smooth hypersurf…
Kleinian singularities: some geometry, combinatorics and representation theory
Lukas Bertsch, Ádám Gyenge, Balázs Szendrői
We review the relationship between discrete groups of symmetries of Euclidean three-space, constructions in algebraic geometry around Kleinian singularities including versions of H…
Euler characteristics of affine ADE Nakajima quiver varieties via collapsing fibers
Lukas Bertsch, Ádám Gyenge, Balázs Szendrői
We prove a universal substitution formula that compares generating series of Euler characteristics of Nakajima quiver varieties associated with affine ADE diagrams at generic and a…
On K3 fibred Calabi-Yau threefolds in weighted scrolls
Geoffrey Mboya, Balazs Szendroi
The aim of this paper is to classify mildly singular Calabi-Yau threefolds fibred in low-degree weighted K3 surfaces and embedded as anticanonical hypersurfaces in weighted scrolls…
On the equations defining some Hilbert schemes
Jonathan D. Hauenstein, Laurent Manivel, Balazs Szendroi
We work out details of the extrinsic geometry for two Hilbert schemes of some contemporary interest: the Hilbert scheme of two points on the projective plane and the dense open set…
Enumerating coloured partitions in 2 and 3 dimensions
Ben Davison, Jared Ongaro, Balazs Szendroi
We study generating functions of ordinary and plane partitions coloured by the action of a finite subgroup of the corresponding special linear group. After reviewing known results…