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for questions on one dimensional algebraic varieties over any field, including questions of moduli, and questions about specific curves.

0 votes
1 answer
255 views

Is the support of two odd theta characteristics on a generic curve disjoint?

Concise version of the question On a generic curve of genus $g$, the odd theta characteristics will have exactly one global section. Therefore each odd theta characteristic will correspond to a uniqu …
Emre's user avatar
  • 833
4 votes
1 answer
216 views

Do only finitely many bisecants of a canonical curve intersect two distinct codimension 2 sp...

Setup & question Let $C \hookrightarrow \mathbb{P}^{g-1}$ be a general canonical curve of genus $g \ge 4$ and let $Y_1,Y_2 \subset \mathbb{P}^{g-1}$ be codimension 2 linear subspaces such that $Y_i \c …
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  • 833
8 votes
1 answer
494 views

How to compute cohomology using differentials of the second kind on a Fermat curve?

Differentials of the second kind Gross and Rohrlich in the paper On the periods of abelian integrals and a formula of Chowla and Selberg state the claim below without citation (pg. 198), giving an ex …
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