Geodesic
Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space
Symmetry, integrability and geometry: methods and applications, Tome 16 (2020) Cet article a éte moissonné depuis la source Math-Net.Ru

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We prove a version of the BKK theorem for the ring of conditions of a spherical homogeneous space $G/H$. We also introduce the notion of ring of complete intersections, firstly for a spherical homogeneous space and secondly for an arbitrary variety. Similarly to the ring of conditions of the torus, the ring of complete intersections of $G/H$ admits a description in terms of volumes of polytopes.
Keywords: BKK theorem, spherical variety, ring of conditions.
Mots-clés : Newton–Okounkov polytope 
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     title = {Intersections of {Hypersurfaces} and {Ring} of {Conditions} of a {Spherical} {Homogeneous} {Space}},
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     url = {http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a15/}
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Kiumars Kaveh; Askold G. Khovanskii. Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space. Symmetry, integrability and geometry: methods and applications, Tome 16 (2020). http://geodesic.mathdoc.fr/item/SIGMA_2020_16_a15/

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