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math.AGApr 1, 2005
85
citations (OpenAlex)
authors
  • Christopher D Hacon
  • James McKernan
institutions
  • University of California, Santa Barbara
  • University of Utah
arXiv abstractPDF
paper

Boundedness of pluricanonical maps of varieties of general type

arXiv:math/0504327 · doi:10.1007/s00222-006-0504-1

Abstract

We prove that there is a fixed constant r=r_n, such that if X is a variety of general type, then the rth pluricanonical map is birational.

Cited by in corpus (16)

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  • On quint-canonical birationality of irregular threefolds
  • Extension with log-canonical measures and an improvement to the plt extension of Demailly--Hacon--Paun
  • Kaehler structures on spin 6-manifolds
  • Pluricanonical systems for 3-folds and 4-folds of general type
  • Augmented base loci and restricted volumes on normal varieties, II: The case of real divisors
  • The F-signature Function on the Ample Cone
  • Restricted volumes on Kähler manifolds
  • On explicit birational geometry for minimal n-folds of canonical dimension n-1
  • A twisted bicanonical system with base points
  • Vanishing cohomology on a double cover
  • Regularity of the volume function
  • The isomorphism problem of projective schemes and related algorithmic problems
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