| Title: |
On the Cohomologically Trivial Automorphisms of Elliptic Surfaces I: χ(S)=0 |
| Authors: |
Catanese F.; Frapporti D.; Gleißner C.; Liu W.; Schütt M. |
| Contributors: |
Catanese, F.; Frapporti, D.; Gleißner, C.; Liu, W.; Schütt, M. |
| Publication Year: |
2025 |
| Collection: |
RE.PUBLIC@POLIMI - Research Publications at Politecnico di Milano |
| Description: |
In this first part we describe the group Aut(Z)(S) of cohomologically trivial automorphisms of a properly elliptic surface (a minimal surface S with Kodaira dimension kappa(S) = 1), in the initial case chi(O-S) = 0. In particular, in the case where Aut(Z)(S) is finite, we give the upper bound 4 for its cardinality, showing more precisely that if Aut(Z)(S) is nontrivial, it is one of the following groups: Z/2, Z/3, (Z/2)(2). We also show with easy examples that the groups Z/2, Z/3 do effectively occur. Respectively, in the case where Aut(Z)(S) is infinite, we give the sharp upper bound 2 for the number of its connected components. |
| Document Type: |
article in journal/newspaper |
| Language: |
English |
| Relation: |
info:eu-repo/semantics/altIdentifier/wos/WOS:001373661400001; volume:29; issue:6; firstpage:1209; lastpage:1260; numberofpages:52; journal:TAIWANESE JOURNAL OF MATHEMATICS; https://hdl.handle.net/11311/1278506 |
| DOI: |
10.11650/tjm/241106 |
| Availability: |
https://hdl.handle.net/11311/1278506; https://doi.org/10.11650/tjm/241106 |
| Rights: |
info:eu-repo/semantics/closedAccess |
| Accession Number: |
edsbas.483E7C3B |
| Database: |
BASE |