Involutions on surfaces with p(g) = q=1

• Type: Article in International Scientific Journal
• Date: 2010

Authors

Rito, C (Author) Other

Journal

Title: Collectanea Mathematica

Vol. 61

Pages: 81-106

ISSN: 0010-0757

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 2 Citations

Scopus - 4 Citations

Other information

Authenticus ID: P-003-AEH

DOI: 10.1007/bf03191228

Abstract (EN): In this paper some numerical restrictions for surfaces with in involution are obtained. These formulas are used to study surfaces of general type S with p(g) = q = 1 having an involution i such that S/i is a non-ruled surface and such that the bicanonical map of S is not composed with i. A complete list of possibilities is given and several new examples are constructed, as bidouble covers of surfaces. In particular the first example of a minimal surface of general type with p(g) = q = 1 and K-2 = 7 having birational bicanonical map is obtained.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 26