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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

13 votes
0 answers
524 views

Is the morphism of sheaves $(R \mapsto GL(R((h)))) \rightarrow (R \mapsto PGL(R((h))))$ surj...

Consider two functors given by $R \mapsto GL(R((h)))$ and $R \mapsto PGL(R((h)))$ for a ring $R$. It is easy to see that these functors are sheaves in Zariski topology (in fact for any affine variety …
Ekaterina Bogdanova's user avatar
7 votes

Classification of symplectic resolutions

I don't have enough reputation to comment so I will post it as an answer. Some classification of symplectic resolutions was done by Namikawa (Poisson deformations and birational geometry). As observed …
Ekaterina Bogdanova's user avatar
1 vote
0 answers
210 views

Isogeny and canonical isomorphism of global highest differential forms

Let $A$ and $B$ be Abelian Varieties of dimension $d$ over a local field $K$. Let $\phi : A \rightarrow B$ be an isogeny and $\phi^{\prime}$ its dual. Recall that one has a canonical isomorphism $can_ …
Ekaterina Bogdanova's user avatar