Detalhes do Documento

On Deligne-Pinkham's bound

Data: 2020

Identificador Persistente: http://hdl.handle.net/1843/33525

Origem: Oasisbr

Assunto(s): Weierstrass Points; Deformation Theory; Gorenstein Curves; Complex Cotangent; Deligne-Pinkham's upper bound; Matemática - Teses; Teoria da deformação; Weierstrass, pontos de; Weierstrass Points; Weierstrass Points; Deformation Theory; Deformation Theory; Gorenstein Curves; Gorenstein Curves; Complex Cotangent; Complex Cotangent; Deligne-Pinkham's upper bound; Deligne-Pinkham's upper bound; Matemática - Teses; Matemática - Teses; Teoria da deformação; Teoria da deformação; Weierstrass, pontos de; Weierstrass, pontos de

Descrição

This Thesis is devoted to the study of the dimensions of the strata of the moduli of smooth pointed curves by xing Weierstrass semigroups at the marked point. We provide a new lower bound for the dimension of each stratum by diminishing Deligne{Pinkham's bound by the dimension of the positive graded part of the rst module of the cotangent complex associated to a suitable monomial curve. This new lower bound is better than a lower bound given recently by N. P ueger. We also prove a conditional result which provides the exact dimension when the Weierstrass semigroup is symmetric

Tipo de Documento Tese de doutoramento
Idioma Inglês

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On Deligne-Pinkham's bound

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