Piecewise polynomials, Minkowski weights, and localization on toric varieties
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چکیده
mathematical sciences publishers i l i li t t r s s s s c c c a e a i al ie e li e h n pub h t ti l i li r m m s s s s c c c a e a i al ie e li e i l i li t t r s s s s c c c a e a i al ie e li e h n pub h t ti l i li r m m s s s s c c c a e a i al ie e li e mathematical sciences publishers i l i li t t r s s s s c c c a e a i al ie e li e i l i li i l i li t t r s s s s c c c a e a i al ie e li e i l i li i l i li i l i li i l i li i l i li at e at ca sc e ces s ers Volume 2 2008 No. 2
منابع مشابه
2 00 8 Piecewise Polynomials , Minkowski Weights , and Localization on Toric Varieties
We use localization to describe the restriction map from equi-variant Chow cohomology to ordinary Chow cohomology for complete toric varieties in terms of piecewise polynomial functions and Minkowski weights. We compute examples showing that this map is not surjective in general, and that its kernel is not always generated in degree one. We prove a localization formula for mixed volumes of latt...
متن کاملar X iv : m at h / 07 03 67 2 v 1 [ m at h . A G ] 2 2 M ar 2 00 7 PIECEWISE POLYNOMIALS , MINKOWSKI WEIGHTS , AND LOCALIZATION ON TORIC VARIETIES
We use localization to describe the restriction map from equi-variant Chow cohomology to ordinary Chow cohomology for complete toric varieties in terms of piecewise polynomial functions and Minkowski weights. We compute examples showing that this map is not surjective in general, and that its kernel is not always generated in degree one. We prove a localization formula for mixed volumes of latt...
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The operational Chow cohomology classes of a complete toric variety are identified with certain functions, called Minkowski weights, on the corresponding fan. The natural product of Chow cohomology classes makes the Minkowski weights into a commutative ring; the product is computed by a displacement in the lattice, which corresponds to a deformation in the toric variety. We show that, with rati...
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