[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2006.43.4.763

ON THE PROJECTIVE FOURFOLDS WITH ALMOST NUMERICALLY POSITIVE CANONICAL DIVISORS

Fukuda, Shigetaka (FACULTY OF EDUCATION, GIFU SHOTOKU GAKUEN UNIVERSITY)

Publication Information

Bulletin of the Korean Mathematical Society / v.43, no.4, 2006 , pp. 763-770 More about this Journal

Abstract

Let X be a four-dimensional projective variety defined over the field of complex numbers with only terminal singularities. We prove that if the intersection number of the canonical divisor K with every very general curve is positive (K is almost numerically positive) then every very general proper subvariety of X is of general type in ';he viewpoint of geometric Kodaira dimension. We note that the converse does not hold for simple abelian varieties.

Keywords

almost numerically positive; of general type; Kodaira dimension;

Citations & Related Records

Times Cited By SCOPUS : 1

Reference
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