Mathematics – Algebraic Geometry
Scientific paper
1993-06-22
Mathematics
Algebraic Geometry
17 pages and 2 tables, plain TeX, Forschungsschwerpunkt Komplexe Mannigfaltigkeiten, heft nr. 174, Bayreuth 1993
Scientific paper
In the present paper we discuss stability of the tanget bundle of a Fano
n-fold of index >= n-2 and b_2=1. For example, we prove that all Fano 4-folds
with b_2=1 have stable tangent bundle. For this purpose we prove some vanishing
theorems for sheaves of twisted holomorphic forms on ample divisors and cyclic
coverings of manifolds having "special cohomology".
Peternell Thomas
Wisniewski Jaroslaw A.
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