On surfaces with pg = q=1 and non-ruled bicanonical involution

• Type: Article in International Scientific Journal
• Date: 2007

Authors

Rito, C (Author) Other

Journal

Title: Annali della Scuola normale superiore di Pisa - Classe di scienze

Vol. 6

Pages: 81-102

ISSN: 0391-173X

Publisher: Stampacchia Guido

Indexing

ISI Web of Knowledge - 10 Citations

Scopus - 10 Citations

Other information

Authenticus ID: P-004-CF1

Abstract (EN): This paper classifies surfaces S of general type with p(g)=q=1 having an involution i such that S/i has non-negative Kodaira dimension and that the bicanonical map of S factors through the double cover induced by i. It is shown that S/i is regular and either: a) the Albanese fibration of S is of genus 2 or b) S has no genus 2 fibration and S/i is birational to a K3 surface. For case a) a list of possibilities and examples are given. An example for case b) with K-2=6 is also constructed.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22