On Banica sheaves and Fano manifolds

Mathematics – Algebraic Geometry

Scientific paper

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19 pages, plain TeX

Scientific paper

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.

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