Authors
Citation
Jx. Cai, On Abelian automorphism groups of fibred surfaces of small genus, MATH PROC C, 130, 2001, pp. 161-174
Citations number
17
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
ISSN journal
03050041
→ ACNP
Volume
130
Year of publication
2001
Part
1
Pages
161 - 174
Database
ISI
SICI code
0305-0041(200101)130:<161:OAAGOF>2.0.ZU;2-X
Abstract
It is proved that, for a complex minimal smooth projective surface S of gen
eral type with a pencil of genus g = 3 or 4, any Abelian automorphism group
of S is of order less than or equal to 12K(S)(2) + 96 (g-1), provided K-S(
2) > 8 (g-1)(2), where K-S is the canonical divisor of S.