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

2 votes
0 answers
101 views

Surjectivity of a restricted Hitchin map

Let $C$ be a smooth projective algebraic curve over the complex numbers and let $V$ be a stable rank 2 vector bundle on $C$. Then consider the vector bundle $\mathcal{E}nd_0(V) $ of tracefree endomorp …
clemens_nollau's user avatar
2 votes
1 answer
208 views

Making a map in sheaf cohomology involving a theta characteristic explicit

Motivation: For a given rank 2 vector bundle we want to know how many theta-characteristic valued twisted endomorphisms it has. Setting: Let $C$ be a smooth algebraic curve over a field of characteris …
clemens_nollau's user avatar