Horrocks-Mumford bundle; bundle

In algebraic geometry, a branch of mathematics, the Horrocks–Mumford bundle
is an indecomposable rank 2 vector bundle on 4-dimensional projective space P4.
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.


See also

  • List of algebraic surfaces


References

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