The moduli space of cubic threefolds as a ball quotient
نویسندگان
چکیده
منابع مشابه
Moduli Space of Cubic Surfaces as Ball Quotient via Hypergeometric Functions
We describe hypergeometric functions of Deligne-Mostow type for open subsets of the configuration space of six points on P, induced from those for seven points on P. The seven point ball quotient example DM(2, 1) does not appear on Mostow’s original list [9], but does appear on Thurston’s corrected version [12]. We show that DM(2, 1) is a finite cover of the moduli space of cubic surfaces MC en...
متن کاملA Complex Ball Uniformization of the Moduli Space of Cubic Surfaces via Periods of K3 Surfaces
In this paper we show that the moduli space of nodal cubic surfaces is isomorphic to a quotient of a 4-dimensional complex ball by an arithmetic subgroup of the unitary group. This complex ball uniformization uses the periods of certain K3 surfaces which are naturally associated to cubic surfaces. A similar uniformization is given for the covers of the moduli space corresponding to geometric ma...
متن کاملOn 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.
متن کاملCalabi-yau Threefolds of Quotient Type
By a Calabi-Yau threefold we mean a minimal complex projective threefold X such that O X (K X) ' O X and h 1 (O X) = 0. This paper consists of four parts. In Section 1 we formulate an equivariant version of Torelli Theorem of K3 surface with a nite group action and deduce some more geometrical consequences. In Section 2, we classify Calabi-Yau threefolds with innnite fundamental group by means ...
متن کاملQUANTUM n-SPACE AS A QUOTIENT OF CLASSICAL n-SPACE
The prime and primitive spectra of Oq(k), the multiparameter quantized coordinate ring of affine n-space over an algebraically closed field k, are shown to be topological quotients of the corresponding classical spectra, specO(kn) and maxO(kn) ≈ kn, provided the multiplicative group generated by the entries of q avoids −1.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Memoirs of the American Mathematical Society
سال: 2011
ISSN: 0065-9266,1947-6221
DOI: 10.1090/s0065-9266-10-00591-0