What is... the arithmetic of curves and semistable reduction?
Talk by Robert Nowak
Date: 17.09.24 Time: 16.30 - 17.30 Room:
Let Y be an algebraic curve over a number field K of genus at least 1. The reduction behavior of Y to characteristic p>0 can be used to compute arithmetic invariants of the curve. In this talk we will introduce notions of good, bad, and semistable reduction and discuss their connection to the L-series and the conductor of the curve. In the special case of hyperelliptic curves and p = 2, we will study the minimal extension over which the curve attains semistable reduction and the automorphism groups of the special fiber.