Galois descent for the gonality of curves

Joaquim Roé Vellvé; Francesc Xavier Xarles Ribas

Galois descent for the gonality of curves

Joaquim Roé Vellvé, Francesc Xavier Xarles Ribas

Departament de Matemàtiques

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Resum

We determine conditions for the invariance of the gonality under base extension, depending on the numeric invariants of the curve. More generally, we study the Galois descent of morphisms of curves to Brauer-Severi varieties, and also of rational normal scrolls.

Idioma original	Anglès
Revista	Mathematical Research Letters
Estat de la publicació	Publicada - 2017

Accés al document

https://ddd.uab.cat/record/177341

Métodos efectivos en geometría aritmética
Roe Vellve, J. (PI), Nart Vinals, E. (Co-Investigador/a Principal), Brustenga Moncusi, L. (Col.laborador/a), Gine Vazquez, I. (Col.laborador/a), Bars Cortina, F. (Investigador/a) & Xarles Ribas, F. X. (Investigador/a)
Ministerio de Economía y Competitividad (MINECO)
1/01/14 → 31/12/17
Projecte: Projectes i Ajuts a la Recerca

Com citar-ho

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title = "Galois descent for the gonality of curves",

abstract = "We determine conditions for the invariance of the gonality under base extension, depending on the numeric invariants of the curve. More generally, we study the Galois descent of morphisms of curves to Brauer-Severi varieties, and also of rational normal scrolls.",

author = "\{Ro{\'e} Vellv{\'e}\}, Joaquim and \{Xarles Ribas\}, \{Francesc Xavier\}",

year = "2017",

language = "English",

journal = "Mathematical Research Letters",

issn = "1073-2780",

publisher = "International Press, Inc.",

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TY - JOUR

T1 - Galois descent for the gonality of curves

AU - Roé Vellvé, Joaquim

AU - Xarles Ribas, Francesc Xavier

PY - 2017

Y1 - 2017

N2 - We determine conditions for the invariance of the gonality under base extension, depending on the numeric invariants of the curve. More generally, we study the Galois descent of morphisms of curves to Brauer-Severi varieties, and also of rational normal scrolls.

AB - We determine conditions for the invariance of the gonality under base extension, depending on the numeric invariants of the curve. More generally, we study the Galois descent of morphisms of curves to Brauer-Severi varieties, and also of rational normal scrolls.

M3 - Article

SN - 1073-2780

JO - Mathematical Research Letters

JF - Mathematical Research Letters

ER -

Galois descent for the gonality of curves

Resum

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Métodos efectivos en geometría aritmética

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