Blow-ups of Pn-3 at n points and spinor varieties

Bernd Sturmfels, Mauricio Velasco

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

13 Citas (Scopus)

Resumen

Work of Dolgachev and Castravet-Tevelev establishes a bijection between the 2n-1 weights of the half-spin representations of so2n and the generators of the Cox ring of the variety Xn which is obtained by blowing up Pn-3 at n points. We derive a geometric explanation for this bijection, by embedding Cox(Xn) into the even spinor variety (the homogeneous space of the even half-spin representation). The Cox ring of the blow-up Xn is recovered geometrically by intersecting torus translates of the even spinor variety. These are higher-dimensional generalizations of results by Derenthal and Serganova-Skorobogatovon del Pezzo surfaces.

Idioma originalInglés
Páginas (desde-hasta)223-244
Número de páginas22
PublicaciónJournal of Commutative Algebra
Volumen2
N.º2
DOI
EstadoPublicada - 2010
Publicado de forma externa

Huella

Profundice en los temas de investigación de 'Blow-ups of Pn-3 at n points and spinor varieties'. En conjunto forman una huella única.

Citar esto