The Chow-Witt ring

We define a ring structure on the total Chow-Witt group of any integral smooth scheme over a field of characteristic different from $2$.

2000 Mathematics Subject Classification: 14C15, 14C17, 14C99, 14F43

Keywords and Phrases: Chow-Witt groups, Chow groups, Grothendieck-Witt groups and Witt groups

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