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arxiv: 1208.0571 · v1 · pith:PDTBZ4PSnew · submitted 2012-08-02 · 🧮 math.AG

Jumping pairs of Steiner bundles

classification 🧮 math.AG
keywords bundlejumpingsteinerbundlesdimensiongrassmannianlocusschwarzenberger
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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 bundle with jumping locus of maximal dimension, which all are Schwarzenberger bundles.

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