On blowing-up of polarized surfaces

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概要

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• Let (S, L) be a polarized surface and let π:˜{S}→ S be the blow-up at r points p<SUB>1</SUB>, ..., p<SUB>r</SUB> on S. Set \displaystyle ˜{L}=π<SUP>*</SUP>L-∑ a<SUB>i</SUB>E<SUB>i</SUB>, where a<SUB>i</SUB>s are positive integers and E<SUB>i</SUB>s are the (-1)-curves over p<SUB>i</SUB>. We consider whether ˜{L} is ample or not if p<SUB>i</SUB>s are in a general position. The cases of sectional genus two are studied especially precisely.

• 社団法人 日本数学会の論文

著者

• YOKOYAMA KOJI

  Department of Antibiotics, Research Institute for Chemobiodynamics, Chiba University

• Yokoyama Koji

  Department Of Antibiotics Research Institute For Chemobiodynamics Chiba University

• Yokoyama Koji

  Department Of Mathematics Tokyo Institute Of Technology

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• On blowing-up of polarized surfaces

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