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History of tag 02PI

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moved the statement to file obsolete.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.
changed the proof 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.
changed the statement 2017-07-07 89f5b9b
Typo in chow

Thanks to Ko Aoki
http://stacks.math.columbia.edu/tag/02PI#comment-2608
assigned tag 02PI 2009-07-15 dd4cee6
New tags added to the project

	modified:   tags/tags
created statement with label lemma-periodic-length in chow.tex 2009-06-26 90c7343
Defining periodic complexes, Herbrand quotients, and determinants

	modified:   chow.tex