| Title: |
Smooth k-double Covers of the Plane of Geometric Genus 3 |
| Authors: |
Fallucca F.; Pignatelli R. |
| Contributors: |
Fallucca, F.; Pignatelli, R. |
| Publication Year: |
2024 |
| Collection: |
Università degli Studi di Trento: CINECA IRIS |
| Subject Terms: |
surfaces of general type; canonical map; abelian covers; iterated double covers; k3 burgers |
| Description: |
In this work we classify all smooth surfaces with geometric genus equal to three and an action of a group G isomorphic to (Z/2)^k such that the quotient is a plane. We find 11 families. We compute the canonical map of all of them, finding in particular a family of surfaces with canonical map of degree 16 that we could not find in the literature. We discuss the quotients by all subgroups of G finding several K3 surfaces with symplectic involutions. In particular we show that six families are families of triple K3 burgers in the sense of Laterveer. |
| Document Type: |
article in journal/newspaper |
| File Description: |
STAMPA |
| Language: |
English |
| Relation: |
volume:2024, 45; issue:3; firstpage:153; lastpage:180; numberofpages:28; journal:RENDICONTI DI MATEMATICA E DELLE SUE APPLICAZIONI; https://hdl.handle.net/11572/409710 |
| Availability: |
https://hdl.handle.net/11572/409710; https://www1.mat.uniroma1.it/ricerca/rendiconti/45_3_(2024)_153-180.html |
| Rights: |
info:eu-repo/semantics/openAccess ; license:Creative commons ; license uri:http://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Accession Number: |
edsbas.EBE21E47 |
| Database: |
BASE |