English

Counter-examples to the minimal model theory in characteristic two

Algebraic Geometry 2013-12-17 v2

Abstract

In this paper, we show that the minimal model theory does not hold in characteristic two. More precisely, we construct counter-examples to the relative abundance conjecture.

Cite

@article{arxiv.1311.6352,
  title  = {Counter-examples to the minimal model theory in characteristic two},
  author = {Hiromu Tanaka},
  journal= {arXiv preprint arXiv:1311.6352},
  year   = {2013}
}

Comments

This paper has been withdrawn by the author due to serious mistakes (Lemma 4.6(1))

R2 v1 2026-06-22T02:14:23.992Z