2017/04/12 by Александр Валентинович Пухликов, Pukhlikov, Aleksandr V. · 1 citation
Mathematics · #14E05 #14E07 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.1704.03795
openalex publication_date 2017/04/12 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28
We prove the birational rigidity of Fano complete intersections of index 1\nwith a singular point of high multiplicity, which can be close to the degree of\nthe variety. In particular, the groups of birational and biregular\nautomorphisms of these varieties are equal, and they are non-rational. The\nproof is based on the techniques of the method of maximal singularities, the\ngeneralized 4n2-inequality for complete intersection singularities and the\ntechnique of hypertangent divisors.\n