School of Mathematics Seminars and Lectures

Finite generation of certain valuation semigroups on toric surfaces

by Dr. Jyoti Dasgupta (TIFR, Mumbai)

Wednesday, February 22, 2023 from to (Asia/Kolkata)
at AG-77
Description
Abstract: In this talk, we will discuss a preprint of Klaus Altmann,
Christian Haase, Alex Kuronya, Karin Schaller, and Lena Walter, available
at https://arxiv.org/abs/2209.06044.

Finite generation of semigroups or rings arising from geometric
situations has been a question of interest for a long time. In this
preprint, the authors consider valuation semigroups arising from
Newton-Okounkov theory in the special case of toric surfaces. They provide
a combinatorial criterion for the finite generation of a valuation
semigroup associated with an ample divisor on a smooth toric surface and a
non-toric valuation of maximal rank.