Fano's inequality is false for a simple Cremona transformation of five-dimensional projective space

2002/02/14 by Marat Gizatullin, Gizatullin, Marat
Materials Science · Mathematics · Physics and Astronomy · #14E07 #Advanced Mathematical Theories and Applications #Algebraic Geometry (math.AG) #FOS: Mathematics #Liquid Crystal Research Advancements #Mathematics and Applications #math.AG #msc:14E07

paper · pdf · doi:10.48550/arxiv.math/0202138

6 pages of LaTeX

arxiv created 2002/02/14 · openalex publication_date 2002/02/14 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Cremona transformation of five-dimensional projective space is constructed. The degree of the transformation is 7. The inequalities of Fano are not fulfilled for this transformation.

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