Related papers: Effective descent maps for schemes

This paper has been withdrawn because Proposition 2.2 (c) is false. This invalids the main results of section 2 and 3. We thank A. Canonaco for pointing us the error.

This paper has been withdrawn. See v1 still available to understand the problem: Proposition 2.2 is false. The error in the proof is in claim (3). Then, the whole paper collapses. We do not have any correction for now. We apologize to…

This paper has been withdrawn due to an error in the proof of Theorem 5.3.

This paper has been withdrawn by the author, due to a significant error in section 4.3.1.

This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author due to a crucial error in the proof of Lemma 2.2.

This paper has been withdrawn due to a crucial error in the proof of the main theorem

This paper is withdrawn. We found a mistake in Lemma 4.1

This paper has been withdrawn by the author due to a crucial mistakes.

This paper has been withdrawn by the author, due to an error in Proposition 2.2.

This paper has been withdrawn due to a error in Theorem 3.1.

This paper has been withdrawn due a crucial mistake due to a crucial mistake in the proof of Lemma 2.3.

This paper has been withdrawn by the author due to a crucial sign error in equation 1

The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.

This paper has been withdrawn by the author due to an error in the derivation.

This paper has been withdrawn by the author due to a mistake in the proof of the main theorem.

The paper has been withdrawn due to an error in Lemma 1.

The paper is withdrawn. The proof has an error and it requires a different approach.

The paper has been withdrawn due to a crucial error in section 3.