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On Negativity of higher Euler characteristics
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 126, Number 6, December 2004
- pp. 1341-1354
- 10.1353/ajm.2004.0043
- Article
- Additional Information
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.