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On the projective fourfolds with almost numerically positive canonical divisors

Shigetaka Fukuda
대한수학회 (The Korean Mathematical Society)|2006.11|대한수학회보 (Bulletin of the KMS)|제43권 제4호|pp. 763-770

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Abstract

LetX be a four-dimensional projective variety denedover the eld of complex numbers with only terminal singularities.We prove that if the intersection number of the canonical divisorKwith every very general curve is positive (K is almost numericallypositive) then every very general proper subvariety ofX is of generaltype in the viewpoint of geometric Kodaira dimension. We notethat the converse does not hold for simple abelian varieties.

참고문헌 (15)

  1. "Nef dimension of minimal models", 330(2), pp.309~322 (2004)
  2. "Fractionally logarithmic canonical rings of algebraic surfaces", pp.696~ (1984), J. Fac.Sci. Univ. Tokyo Sect. IA Math.30
  3. "On the classication of noncomplete algebraic surfaces", 732, pp.215~232 (1979)
  4. "Abundance theorem for minimal threefolds", pp.246~ (1992)
  5. "Introduction to the minimal modelproblem", 10, pp.283~360 (1987)
  6. "Log abundance theorem for threefolds", pp.119~ (1994)
  7. "Introduction to complex hyperbolic spaces" (1987), Springer-Verlag
  8. "On the Kodaira dimension of minimal threefolds. Math. Ann.281", pp.332~ (1988)
  9. "A numerical criterion for uniruledness Ann. of Math.", pp.69~ (1986)
  10. "Flip theorem and the existence of minimal models for3-folds", pp.253~ (1988)
  11. "The uniruledness of the moduli space of curves of genus11", 1016, pp.334~353 (1983)
  12. "Prelimiting ips", 240, pp.75~213 (2003)
  13. "Extension of twisted pluricanonical sections with lurisubharmonicweight and invariance of semipositively twisted plurigenera for manifolds notnecessarily of general type", pp.223~277 (2002), Springer-Verlag
  14. "cation theory of algebraic varieties and compact complex spaces.Lecture Notes in Math. 439", pp.278~ (1975)
  15. "Deformation invariance of plurigenera", 166, pp.117~134

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