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Matematicheskie Zametki, 2021, Volume 109, Issue 4, Pages 590–596
DOI: https://doi.org/10.4213/mzm13042 (Mi mzm13042) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Smooth Prime Fano Complete Intersections in Toric Varieties

V. V. Przyjalkowskia, С. A. Shramovab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Laboratory of algebraic geometry and its applications, National Research University "Higher School of Economics" (HSE), Moscow
Full-text PDF (448 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm13042
Abstract: We prove that a smooth well-formed Picard rank-one Fano complete intersection of dimension at least $2$ in a toric variety is a weighted complete intersection.
Keywords: Fano manifold, weighted complete intersection, toric variety.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation МД-30.2020.1
5-100
HSE Basic Research Program
Foundation for the Development of Theoretical Physics and Mathematics BASIS
The work of first author was supported by Presidential Grant MD-30.2020.1. The work of second author was supported by the Basic Research Program of the National Research University Higher School of Economics and by the Russian Academic Excellence Project “5-100.” The work of both authors was supported by the “BASIS” Foundation for the Advancement of Theoretical Physics and Mathematics.
Received: 24.10.2020
English version:
Mathematical Notes, 2021, Volume 109, Issue 4, Pages 609–613
DOI: https://doi.org/10.1134/S0001434621030305
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: V. V. Przyjalkowski, С. A. Shramov, “Smooth Prime Fano Complete Intersections in Toric Varieties”, Mat. Zametki, 109:4 (2021), 590–596; Math. Notes, 109:4 (2021), 609–613
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
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