On Kodaira Energy of Polarized Log Varieties

  title={On Kodaira Energy of Polarized Log Varieties},
  author={Takao Fujita},
In this paper we are mainly interested in the case κǫ < 0, or equivalently, K(V, B) is not pseudo-effective. According to the classification philosophy, at least when B = 0, V should admit a Fano fibration structure in such cases. In §2, by using Log Minimal Model Program which is available in dimension ≤ 3 at present (cf. [Sho], [Ko]), we establish the existence of such a fibration in the polarized situation. Namely, under some reasonable assumptions, some birational transform (V , B, L) of (V… CONTINUE READING

From This Paper

Topics from this paper.


Publications referenced by this paper.
Showing 1-6 of 6 references

Flips and abundance for algebraic threefolds

  • J. Kollar
  • Lectures in Utah Summer Seminar
  • 1992

On the adjunction theoretic classification of polarized varieties

  • M. C. Beltrametti, A. J. Sommese
  • J. f. d. rein. u. angew. Math
  • 1992

Classification Theories of Polarized Varieties

  • T. Fujita
  • London Math. Soc. Lecture Note Series
  • 1990

Introduction to the minimal model problem, Algebraic Geometry; Sendai 1985

  • Y. Kawamata, K. Matsuda, K. Matsuki
  • Advanced Studies in Pure Math.,
  • 1987

The cone of effective divisors of threefolds , preprint

  • A. J. Sommese

Similar Papers

Loading similar papers…