Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4584608 | Journal of Algebra | 2015 | 12 Pages |
Abstract
In this work, we present a generalization to varieties and sheaves of the fundamental ideal of the Witt ring of a field by defining a sheaf of fundamental ideals IË and a sheaf of Witt rings WË in the obvious way. The Milnor conjecture then relates the associated graded of WË to Milnor K-theory and so allows the classical invariants of a bilinear space over a field to be extended to our setting using étale cohomology. As an application of these results, we calculate the Witt ring of a smooth curve with good reduction over a non-dyadic local field.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Jeanne M. Funk, Raymond T. Hoobler,