We give a definition of regularity on multiprojective spaces which is different from the definitions of Hoffman and Wang and Costa and Miró-Roig. Using this notion we prove some splitting criteria for vector bundles. Most of the results are for the product of two projective spaces.
Regularity and Cohomological Splitting Conditions for Vector Bundles on Multiprojective Spaces
Ballico, Edoardo;
2011-01-01
Abstract
We give a definition of regularity on multiprojective spaces which is different from the definitions of Hoffman and Wang and Costa and Miró-Roig. Using this notion we prove some splitting criteria for vector bundles. Most of the results are for the product of two projective spaces.File in questo prodotto:
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