On polarized surfaces <IMG ALIGN=MIDDLE >期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

On polarized surfaces

Authors:	Yoshiaki Fukuma

Institution:	Department of Mathematics, Faculty of Science, Tokyo Institute of Technology, Oh-okayama, Meguro-ku, Tokyo 152, Japan

Abstract:	Let be a smooth projective surface over $\mathbb {C}$ and an ample Cartier divisor on . If the Kodaira dimension $\kappa (X)\leq 1$ or $\operatorname {dim}H^{0}(L)>0$ , the author proved $g(L)\geq q(X)$ , where $q(X)=\operatorname {dim}H^{1}(\mathcal {O}_{X})$ . If $\kappa (X)\leq 1$ , then the author studied with . In this paper, we study the polarized surface with $\kappa (X)=2$ , , and $\operatorname {dim}H^{0}(L)>0$ .

Keywords:	Projective algebraic surface sectional genus

	点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文