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Triangle Varieties and Surface Decomposition of Hyper-Käahler Manifolds

Published online by Cambridge University Press:  25 October 2022

Hamid Abban
Affiliation:
Loughborough University
Gavin Brown
Affiliation:
University of Warwick
Alexander Kasprzyk
Affiliation:
University of Nottingham
Shigefumi Mori
Affiliation:
Kyoto University, Japan
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Summary

We introduce and study the notion of ‘surface decomposable’ variety, and discuss the possibility that any projective hyper-Käahler manifold is surface decomposable, which would produce new evidence for Beauville’s weak splitting conjecture.

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Recent Developments in Algebraic Geometry
To Miles Reid for his 70th Birthday
, pp. 314 - 356
Publisher: Cambridge University Press
Print publication year: 2022

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