Given a curve $X$ of genus $g$, and let $\Theta$ be a theta divisor on the associated jacobian $J$.
- What is the degree of $\Theta$? and does $H^i(J,\Theta)=0$ for $i>0$?
- is two theta divisor are differ by translation ?
thanks
2026-03-25 16:12:43.1774455163
Theta divisor on the jacobian
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