4 citations · 7 across the 4 of their papers we have counts for
6 papers
Vanishing of top equivariant Chern classes of regular embeddings
Michel Brion, Ivan Kausz
Let be a connected affine algebraic group and a regular -variety (in the sense of Bifet-De Concini-Procesi) with open orbit and boundary divisor . We show the v…
Twisted vector bundles on pointed nodal curves
Ivan Kausz
We establish a striking connection between Abramovich's and Vistoli's twisted bundles and Gieseker vector bundles. This note grew out of an attempt to understand a recent draft of…
A canonical decomposition of generalized theta functions on the moduli stack of Gieseker vector bundles
Ivan Kausz
In this paper I present a new geometric approach to the factorization rule for generalised theta functions. Let be an irreducible projective nodal curve with one singularity an…
Global sections of line bundles on a wonderful compactification of the general linear group
Ivan Kausz
In a previous paper we have constructed a compactification of the general linear group , which in many respects is analogous to the so called wonderful compactificati…
A Gieseker type degeneration of moduli stacks of vector bundles on curves
Ivan Kausz
Given a generically smooth stable curve over a discrete valuation ring such that its special fibre is irreducible with one double point, we construct a moduli stack over that descr…
A Modular Compactification of the General Linear Group
Ivan Kausz
We define a certain compactifiction of the general linear group and give a modular description for its points with values in arbitrary schemes. This is a first step in the construc…