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Jumping pairs of Steiner bundles. (English) Zbl 1435.14040
Summary: In this work we introduce the definition of Schwarzenberger bundle on a Grassmannian. Recalling the notion of Steiner bundle, we generalize the concept of jumping pair for a Steiner bundle on a Grassmannian. After studying the jumping locus variety and bounding its dimension, we give a complete classification of Steiner bundles with jumping locus of maximal dimension, which all are Schwarzenberger bundles.

MSC:
14J60 Vector bundles on surfaces and higher-dimensional varieties, and their moduli
14M15 Grassmannians, Schubert varieties, flag manifolds
14N05 Projective techniques in algebraic geometry
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