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Newton polytopes for horospherical spaces | Kiumars Kaveh
; A. G. Khovanskii
; | Date: |
24 Jul 2010 | Abstract: | A subgroup H of a reductive group G is horospherical if it contains a maximal
unipotent subgroup. We describe the Grothendieck semigroup of invariant
subspaces of regular functions on G/H as a semigroup of convex polytopes. From
this we obtain a formula for the number of solutions of a generic system of
equations on G/H in terms of mixed volume of polytopes. This generalizes
Bernstein-Kushnirenko theorem from toric geometry. | Source: | arXiv, 1007.4270 | Services: | Forum | Review | PDF | Favorites |
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