Cohomological Characterization of Vector Bundles on Multiprojective Spaces
نویسندگان
چکیده
We show that Horrock’s criterion for the splitting of vector bundles on Pn can be extended to vector bundles on multiprojective spaces and to smooth projective varieties with the weak CM property (see Definition 3.11). As a main tool we use the theory of n-blocks and Beilinson’s type spectral sequences. Cohomological characterizations of vector bundles are also showed.
منابع مشابه
Regularity and Cohomological Splitting Conditions for Vector Bundles on Multiprojectives Spaces
Here we give a definition of regularity on multiprojective spaces which is different from the definitions of Hoffmann-Wang and Costa-Miró Roig. By using this notion we prove some splitting criteria for vector bundles.
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