Geometric Invariant Theory
By Atanas Z. Atanasov. 2011
1,365 citations recorded by the source corpus.
Subfields: Algebra and Number Theory, Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/3ae65e1ea511643c6f6cec629ab56e73fd19ca31
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Algebra and Number Theory
- Mario Maican
- D. Huybrechts
- Matthew R. Ballard
- Anton Geraschenko
- Helen M. Wong
- Ernst Kani
- Jorge Lauret
- Carlos Simpson
In Applied Mathematics
- Michael F. Singer
- Frank Pacard
- C. Arezzo
- G'abor Sz'ekelyhidi
- Mario Maican
- D. Huybrechts
- Matthew R. Ballard
- Anton Geraschenko
In Geometry and Topology
- Matthew R. Ballard
- David Favero
- L. Katzarkov
- Helen M. Wong
- Michael F. Singer
- Frank Pacard
- C. Arezzo
- D. Huybrechts
Citations in the corpus
- Quantum traces for representations of surface groups in SL2(ℂ) (2010, background): “The quotient is under the action by conjugation, and should be understood in the sense of geometric invariant theory [36] to avoid pathologies near the reducible homomorphisms.”
- Shimura Varieties and Moduli (2011, background): “According to Mumford 1965, Chapter 7, the functor F is representable when N ≥ 3.”
- Local Systems on Proper Algebraic V -manifolds (2010, background): “Turn now to the study of the universal categorical quotients of the moduli stacks, going back to [73] and more particularly [65] for the moduli of representations.”
- On the proper moduli spaces of smoothable Kähler–Einstein Fano varieties (2014, neutral): “7, [MFK94]).”
- Toric stacks I: The theory of stacky fans (2011, background): “In [Alp09], Alper introduces the notion of a good moduli space morphism, which generalizes the notion of a good quotient [GIT] and is moreover a common generalization of the notion of a tame Artin stack [AOV08, Definition 3.”
- Variation of geometric invariant theory quotients and derived categories (2012, methodology): “Let us start with the so-called “elementary example” of [MFK94], the diagonal action of PGL2 on Pn := (P(1)).”
- Non-commutative resolutions of quotient singularities for reductive groups (2015, neutral): “X−X may be described by the usual numerical criterion in terms of one-parameter subgroups [33].”
- A category of kernels for equivariant factorizations and its implications for Hodge theory (2011, methodology): “In this section, we recall some facts about quasi-coherent equivariant sheaves on separated, schemes/algebraic spaces of finite type following [MFK94].”