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Even though there is a formula for h0(X,OX(nKX)) for a canonical threefold X, it is not easy to compute h0(X,OX(nKX)) because the formula has a term due to singularities. In this paper, we find a way to control the term due to singularities. We show nonvanishing of plurigenus for the case when the index r in the singularity type 1/r (1,−1, b)is sufficiently large.
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참고문헌 (3)
참고문헌 신청
A. R. Fletcher / 1985 / Contributions to Riemann-Roch on projective 3-folds with only canonical singularities and applications, Algebraic geometry / Proc. Sympos. Pure Math. : 221
D.-K. Shin / 2007 / On a computation of plurigenera of a canonical threefold / J. Algebra 309 (2) : 559 ~ 568
M. Reid / 1985 / Young person’s guide to canonical singularities, Algebraic geometry / Proc. Sympos. Pure Math. : 345 ~ 414
D.-K. Shin / 2007 / On a computation of plurigenera of a canonical threefold / J. Algebra 309 (2) : 559 ~ 568
M. Reid / 1985 / Young person’s guide to canonical singularities, Algebraic geometry / Proc. Sympos. Pure Math. : 345 ~ 414
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