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An elementary and constructive proof of Grothendieck's generic freeness lemma
Ingo BlechschmidtAbstract
We present a new and direct proof of Grothendieck's generic freeness lemma in its general form. Unlike the previously published proofs, it does not proceed in a series of reduction steps and is fully constructive, not using the axiom of choice or even the law of excluded middle. It was found by unwinding the result of a general topos-theoretic technique.
- Received:
- 31.08.18
- Published:
- 13.11.18
- MSC Codes:
- 13C05
- Keywords:
- generic freeness lemma