Counting the number of trigonal curves of genus 5 over finite fields-Reference-Cited by-同舟云学术

Counting the number of trigonal curves of genus 5 over finite fields

Published:2020-01-09 Issue:1 Volume:208 Page:31-48
ISSN:0046-5755
Container-title:Geometriae Dedicata
language:en
Short-container-title:Geom Dedicata

Author:

Wennink Thomas^ORCID

Abstract

AbstractThe trigonal curves of genus 5 can be represented by projective plane quintics that have one singularity of delta invariant one. Combining this with a partial sieve method for plane curves we count the number of such curves over any finite field. The main application is that this gives the motivic Euler characteristic of the moduli space of trigonal curves of genus 5.

Funder

University of Liverpool

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

http://link.springer.com/content/pdf/10.1007/s10711-019-00508-3.pdf

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