5 papers
Syzygy Theoretic Approach to Horrocks-type Criteria for Vector Bundles
Chikashi Miyazaki
This paper studies a variant of Horrocks-type criteria for vector bundles mainly through a syzygy theoretic approach. Starting with sketching splitting criteria for ACM and Buchsba…
Cohomological Property of Vector Bundles on Biprojective Spaces
Francesco Malaspina, Chikashi Miyazaki
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 p…
Generic hyperplane section of curves and an application to regularity bounds in positive characteristic
Edoardo Ballico, Chikashi Miyazaki
This paper investigates the Castelnuovo-Mumford regularity of the generic hyperplane section of projective curves in positive characteristic case, and yields an application to a sh…
Towards a theory of arithmetic degrees
Chikashi Miyazaki, Wolfgang Vogel
The aim of this paper is to start a systematic investigation of the arithmetic degree of projective schemes as introduced by D. Bayer and D. Mumford. One main theme concerns itself…
Bounds on cohomology and Castelnuovo-Mumford regularity
Chikashi Miyazaki, Wolfgang Vogel
The Castelnuovo-Mumford regularity reg(X) of a projective scheme X was introduced by Mumford by generalizing ideas of Castelnuovo. The interest in this concept stems partly from th…