Involutions on surfaces with p(g) = q=0 and K-2=3

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Rito, C (Author) FCUP

Journal

Title: Geometriae Dedicata

Vol. 157

Pages: 319-330

ISSN: 0046-5755

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 4 Citations

Scopus - 6 Citations

Other information

Authenticus ID: P-002-BSN

DOI: 10.1007/s10711-011-9612-1

Abstract (EN): We study surfaces of general type S with p(g) = 0 and K-2 = 3 having an involution i such that the bicanonical map of S is not composed with i. It is shown that, if S/i is not rational, then S/i is birational to an Enriques surface or it has Kodaira dimension 1 and the possibilities for the ramification divisor of the covering map S -> S/i are described. We also show that these two cases do occur, providing an example. In this example S has a hyperelliptic fibration of genus 3 and the bicanonical map of S is of degree 2 onto a rational surface.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12