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arXiv · 1911.00118

Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space

Kiumars Kaveh·Askold G. Khovanskii
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Abstract

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.

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Kiumars Kaveh, Askold G. Khovanskii. 2019-10-31. Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space. https://doi.org/10.3842/sigma.2020.016

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