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 original | Inglés |
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Páginas (desde-hasta) | 223-244 |
Número de páginas | 22 |
Publicación | Journal of Commutative Algebra |
Volumen | 2 |
N.º | 2 |
DOI | |
Estado | Publicada - 2010 |
Publicado de forma externa | Sí |