Blow-ups of ${\bf P}^{n-3}$ at $n$ points and spinor varieties
نویسندگان
چکیده
منابع مشابه
BLOW-UPS OF P AT n POINTS AND SPINOR VARIETIES
Abstract. Work of Dolgachev and Castravet-Tevelev establishes a bijection between the 2 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 P n−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 represe...
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ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2010
ISSN: 1939-2346
DOI: 10.1216/jca-2010-2-2-223