## Number Theory Seminar

Yuri ZarhinPennsylvania State University
Division by 2 on Odd Degree Hyperelliptic Curves and their Jacobians
Friday, April 13, 2018 - 2:30pm
Malott 206

Let $C$ be an odd degree hyperelliptic curve embedded in its Jacobian $J$ in such a way that the infinite point goes to the identity element of $J$. We give explicit formulas (in terms of Mumford representations) of halves of points of $C$ in $J$. We also discuss torsion points on the theta divisor of $J$.