Tokyo Journal of Mathematics

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


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

Article information

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

First available in Project Euclid: 14 January 2016

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

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


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.

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