The moduli space of cubic threefolds
نویسندگان
چکیده
منابع مشابه
On Some Moduli Spaces of Stable Vector Bundles on Cubic and Quartic Threefolds
We study certain moduli spaces of stable vector bundles of rank two on cubic and quartic threefolds. In many cases under consideration, it turns out that the moduli space is complete and irreducible and a general member has vanishing intermediate cohomology. In one case, all except one component of the moduli space has such vector bundles.
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In this article we consider the spaces H(X) parametrizing smooth curves of degree d and genus g on a smooth cubic threefold X ⊂ . For 1 ≤ d ≤ 5, we show that each variety H(X) is irreducible of dimension 2d.
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ژورنال
عنوان ژورنال: Journal of Algebraic Geometry
سال: 2003
ISSN: 1056-3911,1534-7486
DOI: 10.1090/s1056-3911-02-00313-2