| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4588879 | Journal of Algebra | 2007 | 10 Pages |
Abstract
For a canonical threefold X, we know h0(X,OX(nKX))⩾1 for a sufficiently large n. When χ(OX)>0, there are few known results about the integer n. This paper introduces an algorithm for computing plurigenera. Furthermore, when χ(OX) is small, especially 1 and 2, plurigenera are computed. This produces h0(X,OX(nKX))⩾1 for n⩾7 and h0(X,OX(nKX))⩾2 for n⩾10 when χ(OX)=1. Also, h0(X,OX(nKX))⩾1 for n⩾14 and h0(X,OX(nKX))⩾2 for n⩾20 with 8 possible exceptional cases when χ(OX)=2.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
