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On a question of Dolgachev

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Pacini, Marco and Testa, Damiano (2020) On a question of Dolgachev. Mathematical Research Letters, 27 (1). pp. 281-299.

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Abstract

For each even, positive integer n, we define a rational self-map on the space of plane curves of degree n, using classical contravariants. In the case of plane quartics, we show that the degree of this map is 15. This answers a question of Dolgachev on the moduli space of curves of genus 3.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Library of Congress Subject Headings (LCSH): Geometry, Algebraic, Moduli theory
Journal or Publication Title: Mathematical Research Letters
Publisher: Mathematical Publishing
ISSN: 1073-2780
Official Date: January 2020
Dates:
DateEvent
January 2020Published
5 July 2018Accepted
Volume: 27
Number: 1
Page Range: pp. 281-299
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Copyright Holders: International Press
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
200377/2015-9 Conselho Nacional de Desenvolvimento Científico e TecnológicoUNSPECIFIED
301314/2016-0Conselho Nacional de Desenvolvimento Científico e TecnológicoUNSPECIFIED
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