Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

NONVANISHING OF A PLURIGENUS OF A THREEFOLD OF GENERAL TYPE

  • Published : 2003.10.01
Download PDF
⟨ Previous Next ⟩

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

References

  1. Proc. Sympos. Pure Math. v.46 Contributions to Riemann-Roch on Projective 3-folds with Only Canonical Singularities and Application A.R.Fletcher
  2. Math. Ann. v.275 On the plurigenera of minimal algebraic 3-folds with Κ≡0 Y.Kawamata https://doi.org/10.1007/BF01459135
  3. Proc. Sympos. Pure Math. v.46 Young Person's guide to canonical singulaties M.Reid