Search results for " Lazarsfeld-Mukai"

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Big Vector Bundles on Surfaces and Fourfolds

2019

The aim of this note is to exhibit explicit sufficient criteria ensuring bigness of globally generated, rank-$r$ vector bundles, $r \geqslant 2$, on smooth, projective varieties of even dimension $d \leqslant 4$. We also discuss connections of our general criteria to some recent results of other authors, as well as applications to tangent bundles of Fano varieties, to suitable Lazarsfeld-Mukai bundles on four-folds, etcetera.

Pure mathematicsbig vector bundles Lazarsfeld-MukaipositivityGeneral Mathematics010102 general mathematicsDimension (graph theory)Vector bundleTangentFano planevector bundles01 natural sciences14J60 (Primary) 14J35 (Secondary)010101 applied mathematicsMathematics - Algebraic Geometryvector bundles; positivity; vanishing criteriaMathematics::Algebraic Geometryvanishing criteriaFOS: MathematicsSettore MAT/03 - Geometria0101 mathematicsAlgebraic Geometry (math.AG)Mathematics::Symplectic GeometryMathematics
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