Smooth finite abelian uniformizations of projective spaces and Calabi-Yau orbifolds

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Uludag A. M.

MANUSCRIPTA MATHEMATICA, vol.124, no.1, pp.31-44, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 124 Issue: 1
  • Publication Date: 2007
  • Doi Number: 10.1007/s00229-007-0112-4
  • Journal Name: MANUSCRIPTA MATHEMATICA
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.31-44
  • Galatasaray University Affiliated: Yes

Abstract

We give a classification of smooth complex manifolds with a finite abelian group action, such that the quotient is isomorphic to a projective space. The case where the manifold is a Calabi-Yau is studied in detail.