Penn Arts & Sciences Logo

Algebra Seminar

Monday, March 31, 2025 - 3:30pm

Andrew Obus

CUNY

Location

University of Pennsylvania

DRL 4N30

Tea will be served at 3pm in Math Lounge, DRL, 4th floor.

Let X --> P^1 be a Z/n-branched cover over a complete discretely valued field K, where n does not divide the residue characteristic of K.  We explicitly construct the minimal regular normal crossings model of X over the valuation ring of K.  By “explicitly”, we mean that we construct a normal model of P^1 whose normalization in K(X) is the desired regular model.  The normal model of P^1 is fully encoded as a basket of finitely many discrete valuations on the rational function field K(P^1), each of which is given using Mac Lane’s 1936 notation involving finitely many polynomials and rational numbers.  This is joint work with Padmavathi Srinivasan.

Other Events on This Day