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Results tagged with ag.algebraic-geometry
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user 6319
Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.
5
votes
0
answers
325
views
Factorization of symplectic isomorphisms of abelian varieties
Background
Let $A$ and $B$ be two abelian varieties with dual Abelian varieties $\widehat A$, $\widehat B$. An isomorphism of Abelian varieties $f\colon A\times\widehat A\to B\times\widehat B$ represe …
- 179
9
votes
0
answers
735
views
Is there an example of a holomorphic vector bundle whose Atiyah class vanishes and does not ...
Let $E\to X$ be a holomorphic vector bundle over a Kähler manifold. The vanishing of the Atiyah class, $At(E)=0$, is equivalent to the existence of a holomorphic connection on $E$.
Moreover, it is w …
- 179
1
vote
1
answer
578
views
Is it true that singular fibers of elliptic fibrations that have the same Kodaira type are i...
It is well known that Kodaira gave an essentially topological classification of the possible singular fibers of elliptic fibrations according to their type:
https://en.wikipedia.org/wiki/Elliptic_sur …
- 179