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19 April 2024
 
  » arxiv » 1911.0118

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Intersections of hypersurfaces and ring of conditions of spherical varieties
Kiumars Kaveh ; A. G. Khovanskii ;
Date 31 Oct 2019
AbstractWe prove a version of the Bernstein-Kushnirenko 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 torus, the ring of complete intersections of $G/H$ admits a description in terms of volume of polytopes.
Source arXiv, 1911.0118
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