Loading [MathJax]/extensions/tex2jax.js

The Stacks project

History of tag 0EAY

Go back to the tag's page.

type time link
changed the statement 2022-02-14 237a69f
First higher chow group + affine bundles

We have all the ingredients completely contained in the Stacks project,
but I am going to leave it as a sketch of proof for the moment. The
lemma we generalized in commit 2f248527 is exactly what is needed to
show the desired properties of flat pullback on CH^m_k(X, 1).
assigned tag 0EAY 2017-11-12 42e2c6f
Tags: Added new tags
created statement with label remark-gersten-complex-milnor in chow.tex 2017-11-12 c424f69
Simplify proof key lemma in chow

Large set of changes in order to simplify the proof of the key lemma
used in proofs of properties for intersecting with effective Cartier
divisors and capping with c_1 of invertible modules.

Probably the original proof was a bit too original. It is still there
in an appendix, but the current proof can be read within an hour by
those familiar with standard (Noetherian) commutative algebra. The
original proof required checking commutativity of many diagrams and
checking many signs.

We also added more explanation of what is happening in the introduction
as well as a comment on Milnor K-theory giving the reference to Kato's
paper and how it is more general.