Almost direct summands

Mathematics – Commutative Algebra

Scientific paper

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5 pages, comments welcome!

Scientific paper

In this short note, we point out how some new cases of Hochster's direct
summand conjecture can be deduced from fundamental theorems in p-adic Hodge
theory due to Faltings. The cases tackled include the ones when the
ramification of the map being considered lies entirely in characteristic p.

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