New surfaces with canonical map of high degree

نویسندگان

چکیده

We give an algorithm that, for a given value of the geometric genus $p_g,$ computes all regular product-quotient surfaces with abelian group that have at most canonical singularities and system isolated base points. use it to show there are exactly two families such map degree $32$. also construct surface $q=1$ $24$. These $p_g=3$ point free system. discuss case $p_g=4$

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ژورنال

عنوان ژورنال: Communications in Analysis and Geometry

سال: 2022

ISSN: ['1019-8385', '1944-9992']

DOI: https://doi.org/10.4310/cag.2022.v30.n8.a5