On Banica sheaves and Fano manifolds

Abstract

In the present paper we discuss coherent sheaves of rank > 1 whose projectivization gives rise to smooth varieties - varieties of this type are also called smooth scrolls. We prove some basic properties of these varieties and we give some pertinent examples. We classify Fano manifolds of large index which are of this type.

19 pages, plain TeX

References in corpus (1)

• A note on non-vanishing and applications

Cited by in corpus (3)

• Fano manifolds and blow-ups of low-dimensional subvarieties
• Fano manifolds with long extremal rays
• Skew-symmetric matrices and Palatini scrolls