Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Horrocks–Mumford_bundle> ?p ?o. }
Showing items 1 to 18 of
18
with 100 items per page.
- Horrocks–Mumford_bundle abstract "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 that the second exterior power of the Horrocks–Mumford bundle F is the line bundle O(5) on P4. Therefore the zero set V of a general section of this bundle is a quintic threefold called a Horrocks–Mumford quintic. Such a V has exactly 100 nodes; there exists a small resolution V′ which is a Calabi–Yau threefold fibered by Horrocks–Mumford surfaces.".
- Horrocks–Mumford_bundle wikiPageID "3102767".
- Horrocks–Mumford_bundle wikiPageRevisionID "551287194".
- Horrocks–Mumford_bundle author1Link "Geoffrey Horrocks".
- Horrocks–Mumford_bundle author2Link "David Mumford".
- Horrocks–Mumford_bundle first "David".
- Horrocks–Mumford_bundle first "Geoffrey".
- Horrocks–Mumford_bundle last "Horrocks".
- Horrocks–Mumford_bundle last "Mumford".
- Horrocks–Mumford_bundle year "1973".
- Horrocks–Mumford_bundle subject Category:Algebraic_varieties.
- Horrocks–Mumford_bundle subject Category:Vector_bundles.
- Horrocks–Mumford_bundle comment "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).".
- Horrocks–Mumford_bundle label "Horrocks–Mumford bundle".
- Horrocks–Mumford_bundle sameAs Horrocks%E2%80%93Mumford_bundle.
- Horrocks–Mumford_bundle sameAs Q5905129.
- Horrocks–Mumford_bundle sameAs Q5905129.
- Horrocks–Mumford_bundle wasDerivedFrom Horrocks–Mumford_bundle?oldid=551287194.