TY - JOUR
T1 - On negativity of higher euler characteristics
AU - Dutta, S. P.
PY - 2004/12
Y1 - 2004/12
N2 - 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.
AB - 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.
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U2 - 10.1353/ajm.2004.0043
DO - 10.1353/ajm.2004.0043
M3 - Article
AN - SCOPUS:10844286216
SN - 0002-9327
VL - 126
SP - 1341
EP - 1354
JO - American Journal of Mathematics
JF - American Journal of Mathematics
IS - 6
ER -