k-normality of weighted projective spaces

Kodai Mathematical Journal

Shoetsu Ogata¹ 

[1] MATHEMATICAL INSTITUTE TOHOKU UNIVERSITY

关键词: Maximal operator;    Rough kernel;    Singular integral;    Lp boundedness;    Block spaces;   

DOI  :  10.2996/kmj/1134397765

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(14)It is known that a complete linear system on a projective variety in a projective space is generated from the linear system of the projective space by restriction if its degree is sufficiently large. We obtain a bound of degree of linear systems on weighted projective spaces when they are generated from those of the projective spaces. In particular, we show that a weighted projective 3-space embedded by a complete linear system is projectively normal. We treat more generally Q-factorial toric varieties with the Picard number one, and obtain the same bounds for them as those of weighted projective spaces.

【 授权许可】

Unknown