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The degree of \mathbb Q-Fano threefolds

2006/10/31 by Yu. G. Prokhorov, Yu G Prokhorov · 16 citations
Mathematics · #Algebraic Geometry and Number Theory #Degree (music) #Fano plane #Geometric and Algebraic Topology #Geometry and complex manifolds #Terminal (telecommunication) #Type (biology) #Upper and lower bounds #math.AG #msc:14E30 #msc:14J45

paper · pdf · doi:10.1070/sm2007v198n11abeh003901

published in Sbornik Mathematics 198(11), 1683-1702 (IOP Publishing) · 23 pages, LATEX

openalex publication_date 2007/12/31 · arxiv created 2008/04/30 · arxiv updated 2010/04/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We prove that the degree of Fano threefolds with terminal Q-factorial singularities and Picard number one is at most 125/2 and the bound is sharp.

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