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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• ISSN: 1815-0659
• Main Authors: Kaveh, Kiumars, Khovanskii, Askold G.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210594
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Intersections of Hypersurfaces and Ring of Conditions of a Spherical Homogeneous Space. Kiumars Kaveh and Askold G. Khovanskii. SIGMA 16 (2020), 016, 12 pages

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 a 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,...