English

Nef dimension of minimal models

Algebraic Geometry 2007-05-23 v1

Abstract

We reduce the Abundance Conjecture in dimension 4 to the following numerical statement: if the canonical divisor K is nef and has maximal nef dimension, then K is big. From this point of view, we ``classify'' in dimension 2 nef divisors which have maximal nef dimension, but which are not big.

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Cite

@article{arxiv.math/0301305,
  title  = {Nef dimension of minimal models},
  author = {Florin Ambro},
  journal= {arXiv preprint arXiv:math/0301305},
  year   = {2007}
}

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LaTex, 14 pages

R2 v1 2026-07-22T16:51:27.397Z