On negativity of higher euler characteristics

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Positivity of higher Euler characteristics on equicharacteristic and unramified regular local rings follow from the works of Serre, Lichtenbaum, and Hochster. Here we prove that such higher Euler characteristics could be negative on complete intersections even for a pair of intersecting modules, both having finite projective dimension, satisfying Serre-vanishing.

Original languageEnglish (US)
Pages (from-to)1341-1354
Number of pages14
JournalAmerican Journal of Mathematics
Issue number6
StatePublished - Dec 2004

ASJC Scopus subject areas

  • General Mathematics


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