Horrocks–Mumford bundle
id:
horrocks-mumford-bundle-315-1946692
title:
Horrocks–Mumford bundle
text:
In algebraic geometry, the Horrocks–Mumford bundle is an indecomposable rank 2 vector bundle on 4-dimensional projective space P4 introduced by Geoffrey Horrocks and David Mumford (1973). It is the only such bundle known, although a generalized construction involving Paley graphs produces other rank 2 sheaves (Sasukara et al. 1993). The zero sets of sections of the Horrocks–Mumford bundle are abelian surfaces of degree 10, called Horrocks–Mumford surfaces. By computing Chern classes one sees tha
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Horrocks%E2%80%93Mumford_bundle
date created:
date modified:
2023-08-18T07:35:15Z
main entity:
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