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math.AGOct 8, 2009
20
citations (OpenAlex)
authors
  • Christophe Mourougane
institutions
  • Institut de recherche mathématique de Rennes
arXiv abstractPDF
paper

Families of hypersurfaces of large degree

arXiv:0910.1435 · doi:10.4171/JEMS/322

Abstract

We show that general moving enough families of high enough degree hypersurfaces in a complex projective space do not have a dominant set of sections.

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  • Fiber integration on the Demailly tower
  • Birational geometry of hypersurfaces in products of projective spaces
  • Slanted Vector Fields for Jet Spaces
  • Some Remarks on Generic Complete Intersection Varieties
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