Note on orbifold Chow ring of semi-projective toric Deligne-Mumford stacks
نویسندگان
چکیده
منابع مشابه
Note on Orbifold Chow Ring of Semi-projective Toric Deligne-mumford Stacks
We prove a formula for the orbifold Chow ring of semi-projective toric DM stacks, generalizing the orbifold Chow ring formula of projective toric DM stacks by BorisovChen-Smith. We also consider a special kind of semi-projective toric DM stacks, the Lawrence toric DM stacks. We prove that the orbifold Chow ring of a Lawrence toric DM stack is isomorphic to the orbifold Chow ring of its associat...
متن کاملThe Orbifold Chow Ring of Toric Deligne-mumford Stacks
Generalizing toric varieties, we introduce toric Deligne-Mumford stacks. The main result in this paper is an explicit calculation of the orbifold Chow ring of a toric Deligne-Mumford stack. As an application, we prove that the orbifold Chow ring of the toric Deligne-Mumford stack associated to a simplicial toric variety is a flat deformation of (but is not necessarily isomorphic to) the Chow ri...
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Generalizing toric varieties, we introduce toric Deligne-Mumford stacks which correspond to combinatorial data. The main result in this paper is an explicit calculation of the orbifold Chow ring of a toric Deligne-Mumford stack. As an application, we prove that the orbifold Chow ring of the toric Deligne-Mumford stack associated to a simplicial toric variety is a flat deformation of (but is not...
متن کاملA Note on Toric Deligne-mumford Stacks
We give a new description of the data needed to specify a morphism from a scheme to a toric DM-stack. The description is given in terms of a collection of line bundles and sections which satisfy certain conditions. As an application of this result we get some geometric properties of toric DM-stacks (including the torus action), and we describe morphisms between toric DM-stacks with complete coa...
متن کاملK-theoretic and Categorical Properties of Toric Deligne–mumford Stacks
We prove the following results for toric Deligne–Mumford stacks, under minimal compactness hypotheses: the Localization Theorem in equivariant K-theory; the equivariant Hirzebruch–Riemann–Roch theorem; the Fourier–Mukai transformation associated to a crepant toric wall-crossing gives an equivariant derived equivalence.
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ژورنال
عنوان ژورنال: Communications in Analysis and Geometry
سال: 2008
ISSN: 1019-8385,1944-9992
DOI: 10.4310/cag.2008.v16.n1.a8