Open AccessPosted Content
Algebraic stacks
T. Gomez
- 25 Nov 1999
TL;DR: In this article, the moduli stack of vector budles has been studied in the context of algebraic stacks, and a detailed comparison with geometric invariant moduli schemes has been made.
read more
Abstract: This is an expository article on the theory of algebraic stacks After introducing the general theory, we concentrate in the example of the moduli stack of vector budles, giving a detailed comparison with the moduli scheme obtained via geometric invariant theory
read more
Chat with Paper
AI Agents for this Paper
Find similar papers on Google Scholar, PubMed and Arxiv
Write a critical review of this paper
Analyze citations of this paper to find unaddressed research gaps
Citations
•Book
A theory of generalized Donaldson-Thomas invariants
Dominic Joyce,Yinan Song +1 more
- 01 Jan 2012
TL;DR: In this article, generalized Donaldson-Thomas invariants are defined for all classes of coherent sheaves, and they are equal to $DT^\alpha(\tau)$ when it is defined.
504
Configurations in abelian categories. II. Ringel–Hall algebras
TL;DR: In this paper, the second part of a series on configurations in an abelian category A is presented, where the authors define an associative multiplication ∗ on CF (Obj A ) using pushforwards and pullbacks along 1-morphisms between configuration moduli stacks, so that CF ( Obj A ) is a Q -algebra.
194
String compactifications on Calabi-Yau stacks
Tony Pantev,Eric Sharpe +1 more
TL;DR: In this paper, a Calabi-Yau stack is defined as a special case of a string compactification on Deligne-Mumford stacks, where the group gauged need be neither finite nor effectively acting.
137
Sums over Topological Sectors and Quantization of Fayet-Iliopoulos Parameters
Simeon Hellerman,Eric Sharpe +1 more
TL;DR: In this paper, the Fayet-Iliopoulos parameter in supergravity theories with altered nonperturbative sectors was discussed, which were recently used to argue a fractional quantization condition.
Sums over topological sectors and quantization of Fayet-Iliopoulos parameters
Simeon Hellerman,Eric Sharpe +1 more
TL;DR: In this article, the Fayet-Iliopoulos parameter in supergravity theories with altered nonperturbative sectors was discussed, and the effect of various dualities on the fractional quantization condition was discussed.
80
Related Papers (5)
Daniel Huybrechts,Manfred Lehn +1 more
- 01 Jan 1997
Kai Behrend,Barbara Fantechi +1 more
David Mumford
- 01 Jan 1965