[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.2003.18.4.603

NONVANISHING OF A PLURIGENUS OF A THREEFOLD OF GENERAL TYPE

Shin, Dong-Kwan (Department of Mathematics Konkuk University)

Publication Information

Communications of the Korean Mathematical Society / v.18, no.4, 2003 , pp. 603-613 More about this Journal

Abstract

When X is a threefold of general type, it is well known h/sup 0/(X, O/sub X/(nK/sub X/)) ≥ 1 for a sufficiently large n. When X(O/sub X/) 〉 0, it is not easy to obtain such an integer n. A. R. Fletcher showed that h/sup 0/(X, O/sub X/(nK/sub X/)) ≥ 1 for n = 12 when X(O/sub X/)=1. We introduce a technique different from A. R. Fletcher's. Using this technique, we also prove the same result as he showed and have a new result.

Keywords

threefold of general type; plurigenus;

Citations & Related Records

Reference

1	Contributions to Riemann-Roch on Projective 3-folds with Only Canonical Singularities and Application / [ A.R.Fletcher ] / Proc. Sympos. Pure Math.
2	On the plurigenera of minimal algebraic 3-folds with Κ≡0 / [ Y.Kawamata ] / Math. Ann. DOI
3	Young Person's guide to canonical singulaties / [ M.Reid ] / Proc. Sympos. Pure Math.