IJPAM: Volume 29, No. 3 (2006)

COMPACT NORMAL COMPLEX SURFACES WITH
LOCALLY FREE AND NON-NEGATIVE TANGENT SHEAF

E. Ballico
Department of Mathematics
University of Trento
380 50 Povo (Trento) - Via Sommarive, 14, ITALY
e-mail: ballico@science.unitn.it


Abstract.Here we exclude the existence of compact and normal complex analytic surfaces whose tangent sheaf is locally free and rather positive (except, of course, ${\bf {P}}^2$).

Received: May 10, 2006

AMS Subject Classification: 32C38, 32J15, 14F10, 14J99

Key Words and Phrases: tangent sheaf, compact analytic surface, automorphism, spanned sheaf, ample tangent sheaf, spanned tangent sheaf

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2006
Volume: 29
Issue: 3