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WEAKLY UNIFORM RANK TWO VECTOR BUNDLES ON MULTIPROJECTIVE SPACES

Part of: (Co)homology theory

Published online by Cambridge University Press:  21 July 2011

EDOARDO BALLICO  and
FRANCESCO MALASPINA
EDOARDO BALLICO
Affiliation:
Università di Trento, 38123 Povo (TN), Italy (email: [email protected])
FRANCESCO MALASPINA*
Affiliation:
Politecnico di Torino, Corso Duca degli Abruzzi 24, 10129 Torino, Italy (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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Here we classify the weakly uniform rank two vector bundles on multiprojective spaces. Moreover, we show that every rank r>2 weakly uniform vector bundle with splitting type a1,1=⋯=ar,s=0 is trivial and every rank r>2 uniform vector bundle with splitting type a1>⋯>ar splits.

Keywords

uniform vector bundlessplitting typemultiprojective spaces

MSC classification

Secondary: 14F05: Sheaves, derived categories of sheaves and related constructions
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 84 , Issue 2 , October 2011 , pp. 255 - 260
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

References

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