Tokyo Journal of Mathematics

A Cohomological Splitting Criterion for Rank 2 Vector Bundles on Hirzebruch Surfaces

Kazunori YASUTAKE

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Abstract

In this note, we give a cohomological characterization of all rank 2 split vector bundles on Hirzebruch surfaces.

Article information

Source
Tokyo J. Math., Volume 38, Number 2 (2015), 327-330.

Dates
First available in Project Euclid: 14 January 2016

Permanent link to this document
https://projecteuclid.org/euclid.tjm/1452806042

Digital Object Identifier
doi:10.3836/tjm/1452806042

Mathematical Reviews number (MathSciNet)
MR3448859

Zentralblatt MATH identifier
1342.14091

Subjects
Primary: 14J60: Vector bundles on surfaces and higher-dimensional varieties, and their moduli [See also 14D20, 14F05, 32Lxx]
Secondary: 14J26: Rational and ruled surfaces

Citation

YASUTAKE, Kazunori. A Cohomological Splitting Criterion for Rank 2 Vector Bundles on Hirzebruch Surfaces. Tokyo J. Math. 38 (2015), no. 2, 327--330. doi:10.3836/tjm/1452806042. https://projecteuclid.org/euclid.tjm/1452806042


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References

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  • M. Fulger and M. Marchitan, Some splitting criteria on Hirzebruch surfaces, Bull. Math. Soc. Sci. Math. Roumanie 54 (2011), 313–323.
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