Chow’s K/k-image and K/k-trace, and the Lang-Néron theorem (2006)
by
Brian Conrad
| Venue: | Enseign. Math |
| Citations: | 5 - 1 self |
BibTeX
@ARTICLE{Conrad06chow’sk/k-image,
author = {Brian Conrad},
title = {Chow’s K/k-image and K/k-trace, and the Lang-Néron theorem},
journal = {Enseign. Math},
year = {2006}
}
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Abstract
Let K/k be an extension of fields, and assume that it is primary: the algebraic closure of k in K is purely inseparable over k. The most interesting case in practice is when K/k is a regular extension: K/k is separable and k is algebraically closed in K. Regularity is automatic if k is perfect. (For K/k finitely generated, regularity is equivalent to K arising as the function field of a smooth and geometrically connected
