On Polarized Surfaces (X, L) with h0(L) > 0, κ(X) ≥ 0 and g(L) = q(X) + 1

被引：0

作者：

Yoshiaki Fukuma

机构：

[1] Tokyo Institute of Technology,Department of Mathematics, Faculty of Science

来源：

Geometriae Dedicata | 1998年 / 69卷

关键词：

polarized surface; sectional genus; irregularity.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Let (X,L) be a polarized surface. If h0(L)>0, then g(L)≥ q(X). In our previous papers, we classified polarized surfaces (X,L) with g(L)=q(X) and h0(L)>0. In this paper, we classify polarized surfaces (X,L) with g(L)=q(X)+1, h0(L)>0, and κ(X) ≥ 0.

引用

页码：189 / 206

页数：17

共 50 条

[1] On polarized surfaces (X, L) with h0(L)>0, κ(X)≥0 and g(L)=q(X)+1
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[2] On polarized surfaces (X,L) with h(0)(L)>0, kappa(X)=2, and g(L)=q(X)
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[5] ON POLARIZED3-FOLDS (X, L) SUCH THAT h0 (L)=2 AND THE SECTIONALGENUSOF (X, L) IS EQUALTOTHE IRREGULARITYOF X
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[6] On polarized 4-folds (X, L) with h0 (KX+3L)=1
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[7] On complex n-folds polarized by an ample line bundle L with dim Bs |L| ≤ 0, g(L)=q(X)+m, and h0(L)≥n+m
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[8] ON COMPLEX n-FOLDS POLARIZED BY AN AMPLE LINE BUNDLE L WITH Bs|L| = φ, g(X, L) = q(X) plus m AND h0(L) = n plus m-1
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[10] On classification of polarized 3-folds (X, L) with h(0)(K-X+2L)=2
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