Twisted Multi-Homogeneous Coordinate Rings
نویسندگان
چکیده
منابع مشابه
Degenerate Sklyanin Algebras and Generalized Twisted Homogeneous Coordinate Rings
In this work, we introduce the point parameter ring B, a generalized twisted homogeneous coordinate ring associated to a degenerate version of the three-dimensional Sklyanin algebra. The surprising geometry of these algebras yields an analogue to a result of Artin-Tatevan den Bergh, namely that B is generated in degree one and thus is a factor of the corresponding degenerate Sklyanin algebra.
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In this paper we give some evidence for M Kontsevich’s homological mirror symmetry conjecture [13] in the context of toric varieties. Recall that a smooth complete toric variety is given by a simplicial rational polyhedral fan ∆ such that |∆| = Rn and all maximal cones are non-singular (Fulton [10, Section 2.1]). The convex hull of the primitive vertices of the 1–cones of ∆ is a convex polytope...
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We study A ∞-structures extending the natural algebra structure on the cohomology of ⊕ n∈Z L n , where L is a very ample line bundle on a projective d-dimensional variety X such that H i (X, L n) = 0 for 0 < i < d and all n ∈ Z. We prove that there exists a unique such nontrivial A ∞-structure up to homotopy and rescaling. In the case when X is a curve we also compute the group of self-homotopi...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2000
ISSN: 0021-8693
DOI: 10.1006/jabr.1999.7938