On the direct summand conjecture and its derived variant

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چکیده

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Heitmann’s Proof of the Direct Summand Conjecture in Dimension 3

We describe the main ideas of Ray Heitmann’s proof of the Direct Summand Conjecture in dimension 3 for a ring of mixed characteristic [1]. In the first section we describe the main methods which are used and prove the necessary lemmas. In the second section we prove the main result of Heitmann’s paper. Finally, in the third section we give a proof of the Canonical Element Conjecture using this ...

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ژورنال

عنوان ژورنال: Inventiones mathematicae

سال: 2017

ISSN: 0020-9910,1432-1297

DOI: 10.1007/s00222-017-0768-7