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JOURNALS // Funktsional'nyi Analiz i ego Prilozheniya // Archive
Funktsional. Anal. i Prilozhen., 2013 Volume 47, Issue 4, Pages 45–52 (Mi faa3127)
This article is cited in 21 papers

Flexibility of Affine Cones over del Pezzo Surfaces of Degree 4 and 5

A. Yu. Perepechkoab

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b University of Grenoble 1 — Joseph Fourier

Abstract: We prove that the action of the special automorphism group on affine cones over del Pezzo surfaces of degree 4 and 5 is infinitely transitive.

Keywords: automorphism group, affine cone, del Pezzo surface, infinite transitivity, flexibility, one-parameter unipotent group.

UDC: 512.745.4

Received: 20.06.2011

DOI: 10.4213/faa3127


 English version: Functional Analysis and Its Applications, 2013, 47:4, 284–289

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© Steklov Math. Inst. of RAS, 2025