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math.AGJul 1, 2019
6
citations (OpenAlex)
authors
  • Juergen Hausen
  • Antonio Laface
  • Christian Mauz
institutions
  • University of Concepción
  • University of Tübingen
arXiv abstractPDF
paper

On smooth Fano fourfolds of Picard number two

arXiv:1907.08000 · doi:10.4171/RMI/1271

Abstract

We classify the smooth Fano 4-folds of Picard number two that have a general hypersurface Cox ring.

arXiv comment35 pages, new results added, to appear in Rev. Mat. Iberoam

References in corpus (10)

  • On G-Fano threefolds
  • Bertini and his two fundamental theorems
  • Bounds for smooth Fano weighted complete intersections
  • On torus actions of higher complexity
  • Cox rings of cubic surfaces and Fano threefolds
  • Smooth projective varieties with a torus action of complexity 1 and Picard number 2
  • On intrinsic quadrics
  • Comparison theorems for deformation functors via invariant theory
  • The anticanonical complex for non-degenerate toric complete intersections
  • A software package to compute automorphisms of graded algebras

Cited by in corpus (1)

  • Iteration of Cox rings of klt singularities
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