ON THE HODGE STRUCTURE OF DEGENERATING HYPERSURFACES IN TORIC VARIETIES

• IKEDA ATSUSHI

  Graduate School of Science, Osaka University

Abstract

We introduce an algebraic method for describing the Hodge filtration of degenerating hypersurfaces in projective toric varieties. For this purpose, we show several fundamental properties of logarithmic differential forms on proper equivariant morphisms of toric varieties.

Journal

• Tohoku Mathematical Journal, Second Series

  Tohoku Mathematical Journal, Second Series 59 (3), 341-363, 2007

  Mathematical Institute, Tohoku University

Keywords

• General Mathematics

Details

• CRID: 1390001205114641152
• NII Article ID: 110006389124
• NII Book ID: AA00863953
• DOI: 10.2748/tmj/1192117982
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 2365345
• Text Lang: en
• Data Source:
  • JaLC
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed