Cohomological Property of Vector Bundles on Biprojective Spaces

TL;DR

This paper provides a criterion to identify when vector bundles on biprojective spaces are tensor products of pullbacks of exterior powers of differential sheaves, advancing understanding of their cohomological properties.

Contribution

It introduces a new criterion for classifying vector bundles on biprojective spaces based on their cohomological structure.

Findings

Established a criterion for isomorphism to tensor products of pullbacks

Characterized cohomological properties of vector bundles on biprojective spaces

Enhanced understanding of the structure of vector bundles in algebraic geometry

Abstract

This paper investigates the cohomological property of vector bundles on biprojective space. We will give a criterion for a vector bundle to be isomorphic to the tensor product of pullbacks of exterior products of differential sheaves.