Abstract
We prove that the existence of log minimal models in dimension d essentially implies the LMMP with scaling in dimension d. As a consequence we prove that a weak nonvanishing conjecture in dimension d implies the minimal model conjecture in dimension d.
Received: 2009-09-03
Revised: 2010-03-09
Published Online: 2011-03-23
Published in Print: 2011-September
© Walter de Gruyter Berlin · New York 2011
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Articles in the same Issue
- K3 surfaces, entropy and glue
- Bäcklund transformations for transparent connections
- Root numbers and parity of ranks of elliptic curves
- Nombres réels de complexité sous-linéaire : mesures d'irrationalité et de transcendance
- On existence of log minimal models II
- Iterated sequences and the geometry of zeros
- Analytic R-groups of affine Hecke algebras
- Strongly free sequences and pro-p-groups of cohomological dimension 2
- Ehresmann doubles and Drinfel'd doubles for Lie algebroids and Lie bialgebroids