On Spinor Varieties and Their Secants

dc.contributor.author	Manivel, L.
dc.date.accessioned	2019-02-19T17:39:22Z
dc.date.available	2019-02-19T17:39:22Z
dc.date.issued	2009
dc.identifier.citation	On Spinor Varieties and Their Secants / L. Manivel // Symmetry, Integrability and Geometry: Methods and Applications. — 2009. — Т. 5. — Бібліогр.: 15 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 14M17; 15A66; 14L35; 14N15
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149143
dc.description.abstract	We study the secant variety of the spinor variety, focusing on its equations of degree three and four. We show that in type Dn, cubic equations exist if and only if n ≥ 9. In general the ideal has generators in degrees at least three and four. Finally we observe that the other Freudenthal varieties exhibit strikingly similar behaviors.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue “Elie Cartan and Differential Geometry”.I thank J.M. Landsberg, G. Ottaviani and J. Weyman for useful discussions.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	On Spinor Varieties and Their Secants	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA