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2015 | OriginalPaper | Chapter

Some Remarks About Chow, Hilbert and K-stability of Ruled Threefolds

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Abstract

Given a rank 2 holomorphic vector bundle E over a projective surface, we explain some relationships between the Gieseker stability of E and the Chow, Hilbert and K-stability of the polarized ruled manifold \(\mathbb{P}E\) with respect to polarizations that make fibres sufficiently small.

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Metadata
Title
Some Remarks About Chow, Hilbert and K-stability of Ruled Threefolds
Author
Julien Keller
Copyright Year
2015
DOI
https://doi.org/10.1007/978-3-319-12577-0_42

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