University of Connecticut

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Algebra Seminar
The addition on superelliptic Jacobians from a geometric viewpoint
Yaacov Kopeliovich (University of Connecticut - School of Business)

Wednesday, September 18, 2019
11:15am – 12:05pm

Storrs Campus
Monteith 313

We give a geometric interpretation of the group law for Jacobians of superelliptic curves $$\mathcal X$$ by extending the geometric construction of chords and tangents on an elliptic curve to a curve $$\mathcal Y$$ which is determined explicitly in terms of the coefficients of $$\mathcal X$$. The method makes use of the basis of holomorphic differentials for superelliptic curves ordered according to the order at infinity.

Contact:

Mihai Fulger, mihai.fulger@uconn.edu

Algebra Seminar (primary), UConn Master Calendar

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