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research article
A vanishing theorem for oriented intersection multiplicities
Fasel, J.
•
Srinivas, V.
Let A be a regular local ring containing 1/2, which is either equicharacteristic, or is smooth over a d.v.r. of mixed characteristic. We prove that the product maps on derived Grothendieck-Witt groups of A satisfy the following property: given two elements with supports which do not intersect properly, their product vanishes. This gives an analogue for "oriented intersection multiplicities" of Serre's vanishing result for intersection multiplicities. It also suggests a Vanishing Conjecture for arbitrary regular local rings containing 1/2, which is analogous to Serre's (which was proved independently by Roberts, and Gillet and Soule).
Type
research article
Web of Science ID
WOS:000256980500020
Authors
Fasel, J.
•
Srinivas, V.
Publication date
2008
Published in
Volume
15
Start page
447
End page
458
Subjects
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 30, 2010
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