On nonprimitive Weierstrass points
N Pflueger - Algebra & Number Theory, 2018 - msp.org
We give an upper bound for the codimension in ℳ g, 1 of the variety ℳ G, 1 S of marked
curves (C, p) with a given Weierstrass semigroup. The bound is a combinatorial quantity …
curves (C, p) with a given Weierstrass semigroup. The bound is a combinatorial quantity …
On nonnegatively graded Weierstrass points
A Contiero, AL Fontes, J Stevens, JQ Vargas - arXiv preprint arXiv …, 2021 - arxiv.org
We provide a new lower bound for the dimension of the moduli space of smooth pointed
curves with prescribed Weierstrass semigroup at the marked point, derived from the Deligne …
curves with prescribed Weierstrass semigroup at the marked point, derived from the Deligne …
On the locus of curves with an odd subcanonical marked point
A Contiero, AL Fontes - arXiv preprint arXiv:1804.09797, 2018 - arxiv.org
We present an explicit construction of a compactification of the locus of smooth curves
whose symmetric Weierstrass semigroup at a marked point is odd. The construction is an …
whose symmetric Weierstrass semigroup at a marked point is odd. The construction is an …
Weierstrass semigroups from cyclic covers of hyperelliptic curves
E Cotterill, N Pflueger, N Zhang - Bulletin of the Brazilian Mathematical …, 2023 - Springer
The Weierstrass semigroup of pole orders of meromorphic functions in a point p of a smooth
algebraic curve C is a classical object of study; a celebrated problem of Hurwitz is to …
algebraic curve C is a classical object of study; a celebrated problem of Hurwitz is to …
Interseções completas e pontos de Weierstrass
SFMM Costa - 2021 - repositorio.ufmg.br
Existem alguns avanços relacionados à racionalidade do espaço de moduli ℳℋ 𝑔, 1 de
curvas algébricas pontuadas de gênero 𝑔 com semigrupo de Weierstrass ℋ. Os semigrupos …
curvas algébricas pontuadas de gênero 𝑔 com semigrupo de Weierstrass ℋ. Os semigrupos …
On the dimension of the stratum of the moduli of pointed curves by Weierstrass gaps
A Contiero, AL Fontes, JQ Vargas - arXiv preprint arXiv:1811.12894, 2018 - arxiv.org
The dimension of the moduli space of smooth pointed curves with prescribed Weierstrass
semigroup at the market point is computed for three families of symmetric semigroups of …
semigroup at the market point is computed for three families of symmetric semigroups of …
Weight bounds for -hyperelliptic curves
R Barbosa da Silva, E Cotterill - Journal of Algebraic Combinatorics, 2024 - Springer
Abstract (N, γ)-hyperelliptic semigroups were introduced by Fernando Torres to encapsulate
the most salient properties of Weierstrass semigroups associated with totally ramified points …
the most salient properties of Weierstrass semigroups associated with totally ramified points …
Subcanonical curves: on the loci of odd Weierstrass semigroups and the dimension of the loci for certain families of semigroups
AL Fontes - 2017 - repositorio.ufmg.br
A celebrated result of KontsevichZorich ensures that the moduli space (...) of pointed curves
of genus g whose marked point is subcanonical has three irreducible components. In this …
of genus g whose marked point is subcanonical has three irreducible components. In this …