m-BLOCKS COLLECTIONS AND CASTELNUOVO-MUMFORD REGULARITY IN MULTIPROJECTIVE SPACES

Abstract

The main goal of the paper is to generalize Castelnuovo-Mumford regularity for coherent sheaves on projective spaces to coherent sheaves on n-dimensional smooth projective varieties X with an n-block collection B which generates the bounded derived category Db(OX -mod). To this end, we use the theory of n-blocks and Beilinson type spectral sequence to… (More)

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