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14e35 (secondary)

Proceedings of the London Mathematical Society (2)

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FAMILIES OF $D$-MINIMAL MODELS AND APPLICATIONS TO 3-FOLD DIVISORIAL CONTRACTIONS (Proc. London Math. Soc. (3) 90 (2005) 345–370)
NIKOLAOS TZIOLAS
Journal:

Proceedings of the London Mathematical Society / Volume 93 / Issue 1 / July 2006

Published online by Cambridge University Press:

09 June 2006, pp. 82-84

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July 2006
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A gap in the proofs of Lemma 2.3 and Theorem 2.4 in the above paper is corrected.

Families of D-minimal models and applications to 3-fold divisorial contractions
Nikolaos Tziolas
Journal:

Proceedings of the London Mathematical Society / Volume 90 / Issue 2 / March 2005

Published online by Cambridge University Press:

25 February 2005, pp. 345-370

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March 2005
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Let $X / T$ be a one parameter family of canonical 3-folds and let $D$ be a Weil divisor on it flat over $T$. We study the problem of when the $D_t$-minimal models of $X_t$ form a family and we obtain conditions for this to happen. As an application of this we classify terminal divisorial contractions $E \subset Y \leftarrow C \subset X$ contracting an irreducible surface $E$ onto the smooth curve $C$, in the case when the general section of $X$ through $C$ is a $D_5$ DuVal singularity.

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FAMILIES OF $D$-MINIMAL MODELS AND APPLICATIONS TO 3-FOLD DIVISORIAL CONTRACTIONS (Proc. London Math. Soc. (3) 90 (2005) 345–370)

Families of D-minimal models and applications to 3-fold divisorial contractions

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FAMILIES OF $D$-MINIMAL MODELS AND APPLICATIONS TO 3-FOLD DIVISORIAL CONTRACTIONS (Proc. London Math. Soc. (3) 90 (2005) 345–370)

Families of D-minimal models and applications to 3-fold divisorial contractions