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Birationally Rigid Singular Fano Hypersurfaces

✍ Scribed by A. V. Pukhlikov

Book ID: 110425974
Publisher: Springer US
Year: 2003
Tongue: English
Weight: 136 KB
Volume: 115
Category: Article
ISSN: 1573-8795
DOI: 10.1023/a:1022832031065

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## Abstract. We prove that a generic (in the sense of Zariski topology) Fano complete intersection __V__ of the type ( d 1 , ⋯ , d k ) $(d\_1,\dots ,d\_k)$ in ℙ M + k ${\mathbb {P}}^{M+k}$ , where d 1 + ⋯ + d k = M + k $d\_1+\dots +d\_k=M+k$ , is birationally superrigid if M