On the topology of projective subspaces in complex Fermat varieties

• Degtyarev Alex

  Bilkent University, Department of Mathematics

• Shimada Ichiro

  Department of Mathematics, Graduate School of Science, Hiroshima University

Abstract

Let X be the complex Fermat variety of dimension n = 2d and degree m > 2. We investigate the submodule of the middle homology group of X with integer coefficients generated by the classes of standard d-dimensional subspaces contained in X, and give an algebraic (or rather combinatorial) criterion for the primitivity of this submodule.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 68 (3), 975-996, 2016

  The Mathematical Society of Japan

Keywords

• complex Fermat variety
• middle homology group
• Pham polyhedron

Details

• CRID: 1390001205116056192
• NII Article ID: 130005166133
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/06830975
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL BIB ID: 027498931
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I027498931
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed