Severi, Scorza varieties and Jordan algebras

Simple item page
dc.creatorChaput, P. E.
dc.date2002-08-27
dc.date.accessioned2026-07-07T04:50:25Z
dc.date.available2026-07-07T04:50:25Z
dc.descriptionThe Severi and Scorza varieties are the limiting cases of a theorem of Zak conjectured by Hartshorne. Zak also classified the Severi and Scorza varieties. Surprisingly enough, there are only 4 Severi varieties, one for each dimension 2,4,8 and 16 and they are homogeneous and very strongly linked with the 4 rank-3 Jordan algebras. In this article, I give several variations of Zak's classification theorem, proving a priori the homogeneity of Scorza varieties, and showing how it is possible to give a Jordan structure to the ambient space of a Scorza variety.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math/0208207
dc.identifierhttp://arxiv.org/abs/math/0208207
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64783
dc.subjectAlgebraic Geometry
dc.subject14M07; 14M17; 14E07
dc.titleSeveri, Scorza varieties and Jordan algebras
dc.typetext

Files

Collections

arXiv