On the vanishing of negative K-groups

Details On the vanishing of negative K-groups On the vanishing of negative K-groups

2008-11-05

arxiv.org/abs/0811.0652v3

Math. Ann. 348 (2010), 707-736

Mathematics

Algebraic Geometry

Math. Ann. (to appear)

Scientific paper

10.1007/s00208-010-0500-z

Let k be an infinite perfect field of positive characteristic p and assume
that strong resolution of singularities holds over k. We prove that, if X is a
d-dimensional noetherian scheme whose underlying reduced scheme is essentially
of finite type over the field k, then the negative K-group K_q(X) vanishes for
every q < -d. This partially affirms a conjecture of Weibel.

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