Palestras e Seminários
29/03/2023
17:00
Sala 3-012
Palestrante: Pietro Speziali
Responsável: Roberto Alvarenga (Este endereço de email está sendo protegido de spambots. Você precisa do JavaScript ativado para vê-lo.)
Seminários de Álgebra
Resumo: Let X be a Riemann Surface of genus g bigger than 1 . A point P of X is Weierstrass if its gap-set G(P) differs from {1,…,g} . A classical result states that X has a finite number of Weierstrass points, whose number (counted with their weight, which measures how far a Weierstrass point is from being an ordinary point) equals g3−g . Next, assume that X admits a non-trivial group of automorphisms G . By the famous Hurwitz bound, in our context G is finite and of order at most 84(g−1) . Since G must act on the set W of Weierstrass points of X , it is natural to ask whether this action can be transitive. As it turns out, this is a rare possibility, with very few known examples in the literature. In this talk, we give an overview of the literature on this subject and our contributions. Also, we discuss some possible developments to curves of positive characteristic, and the challenges they pose.
Mais informações:
site dos Seminários de Álgebra
