Repositorio
Institucional

Hidalgo, Ruben A.

Explicit computation of the field of moduli of some non-hyperelliptic pseudo-real curves

SPRINGER BASEL AG

ARCHIV DER MATHEMATIK

en

For each even integer k >= 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k \ge 2$$\end{document}, we construct an explicit real two-dimensional family Cr,theta(k)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C<^>{(k)}_{r,\theta }$$\end{document} of non-hyperelliptic pseudo-real Riemann surfaces of genus g=1+(2k-3)k4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g=1+(2k-3)k<^>{4}$$\end{document}. For each of them, we compute its field of moduli and also a minimal field of definition.Para cada entero par k >= 2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$k \ge 2$$\end{document}, construimos una familia bidimensional real explícita Cr,theta(k)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C<^>{(k)}_{r,\theta }$$\end{document} de superficies de Riemann pseudo-reales no hiperelípticas de género g=1+(2k-3)k4\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$g=1+(2k-3)k<^>{4}$$\end{document}. Para cada una de ellas, calculamos su campo de módulos y también un campo mínimo de definición.

artículo original

Riemann surfaces

Algebraic curves

Automorphisms

Fields of moduli

10.1007/s00013-025-02130-0

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WOS:001483434100001

Explicit computation of the field of moduli of some non-hyperelliptic pseudo-real curves

artículo original

SPRINGER BASEL AG

ARCHIV DER MATHEMATIK

Mathematics

en

0003-889X

FONDECYT(Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)CONICYT FONDECYT)

FONDECYT

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