The Signature of the Chern Coefficients of Local Rings

نویسندگان

  • Laura Ghezzi
  • Jooyoun Hong
  • Wolmer V. Vasconcelos
  • LAURA GHEZZI
  • JOOYOUN HONG
  • WOLMER V. VASCONCELOS
چکیده

This paper considers the following conjecture: If R is an unmixed, equidimensional local ring that is a homomorphic image of a Cohen-Macaulay local ring, then for any ideal J generated by a system of parameters, the Chern coefficient e1(J) < 0 is equivalent to R being non Cohen-Macaulay. The conjecture is established if R is a homomorphic image of a Gorenstein ring, and for all universally catenary integral domains containing fields. Criteria for the detection of Cohen-Macaulayness in equi-generated graded modules are derived.

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تاریخ انتشار 2008