A construction of Chern classes of parabolic vector bundles

2012/09/14 by Indranil Biswas, Biswas, Indranil, Ajneet Dhillon +1
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.1209.3160

arXiv admin note: substantial text overlap with arXiv:1103.1190

arxiv created 2012/09/14 · arxiv updated 2012/09/17

Abstract

Given a parabolic vector bundle, we construct for it a projectivization and tautological line bundle. These are analogs of the projectivization and tautological line bundle for an usual vector bundle. Using these we give a construction of the parabolic Chern classes.

Citations

• Parabolic k-ample bundles

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