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math.AGMay 1, 2019
10
citations (OpenAlex)
authors
  • Victor Przyjalkowski
  • Constantin Shramov
institutions
  • National Research University Higher School of Economics
  • Steklov Mathematical Institute
arXiv abstractPDF
paper

Automorphisms of weighted complete intersections

arXiv:1905.12574 · doi:10.1134/S0081543819060129

Abstract

We show that smooth well formed weighted complete intersections have finite automorphism groups, with several obvious exceptions.

arXiv comment13 pages, compared to v1, unnecessary assumptions removed from the main theorem and the title

References in corpus (7)

  • Hilbert schemes of lines and conics and automorphism groups of Fano threefolds
  • Bounds for smooth Fano weighted complete intersections
  • Effective non-vanishing for Fano weighted complete intersections
  • Séparation et propriété de Deligne-Mumford des champs de modules d'intersections complètes lisses
  • Fano threefolds with infinite automorphism groups
  • Codimension one Fano distributions on Fano manifolds
  • Hodge level for weighted complete intersections

Cited by in corpus (3)

  • The classification of smooth well-formed Fano weighted complete intersections
  • Weighted Grassmannians and their explicit description
  • Belyi's theorem for smooth complete intersections of general type in generalised Grassmannians and weighted projective spaces
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