On the genus of elliptic fibrations

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2 Citations (Scopus)

Abstract

A simply connected topological space is called elliptic if both π*(X, ℚ) and H*(X, ℚ) are finite-dimensional ℚ-vector spaces. In this paper, we consider fibrations for which the fibre X is elliptic and H*(X, ℚ) is evenly graded. We show that in the generic cases, the genus of such a fibration is completely determined by generalized Chern classes of the fibration.

Original languageEnglish
Pages (from-to)597-606
Number of pages10
JournalProceedings of the American Mathematical Society
Volume132
Issue number2
DOIs
Publication statusPublished - Feb 2004

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

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