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Results tagged with geometric-invariant-theory
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user 4096
for questions on geometric invariant theory (or GIT), including stability criteria and symplectic quotients.
0
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When does a G-invariant one to one map between two closed algebraic G-set descend to a one t...
as long as $f$ passes to the quotient (i.e. sends orbits on orbits) it has the required property. Moreover, as Misha remarked, the semistable locus of the first quotient should be sent to the semistab …
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1
answer
321
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Algebraic closure and GIT
Does one need to work over an algebraic closed field in ordre to construct GIT quotients à la Mumford?
If yes, why?
- 3,779
1
vote
1
answer
477
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when does one want to use the Reynolds operator in GIT?
The role of Reynolds operator in GIT has always been a little mystery to me. Actually I see that in some proofs it gets used in an efficient way, but what I cannot grasp is the general philosophy. I s …
- 3,779
6
votes
0
answers
540
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Stability conditions for coherent sheaves and GIT
I am learning stability conditions for derived categories of coherent sheaves, following Bridgeland, and coming from a vector bundles background. $\mu$-stability for vector bundles has a clear GIT ori …
- 3,779
1
vote
1
answer
217
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invariants of plane quartics
Does anybody know a good reference where the invariants for plane quartic curves are developed?
- 3,779
3
votes
2
answers
331
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blow up of segre primal and $\mathcal{M}_{0,6}$
The segre cubic primal $X\subset P^4$ is the GIT quotient of 6 points on $P^1$. Let $M_{0,6}$ the DM compactification of the moduli of 6-pointed rational curves. The Segre primal $X$ is a cubic 3-fold …
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