摘要翻译:
2006年6月,在陆启铿教授80周年诞辰大会上,我做了一个关于一般型紧致复代数流形规范环有限生成的解析方法的演讲。这篇文章是我对那次会议记录的贡献。在这篇文章中,我给出了一个解析证明的概述,并着重说明解析方法是如何处理无限次无休止爆破的问题,在直观方法中证明规范环的有限生成。陆启铿会议论文集将载于《中国科学A辑:数学》第51卷第4期(www.springer.com/math/applications/journal/11425)。
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英文标题:
《Finite Generation of Canonical Ring by Analytic Method》
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作者:
Yum-Tong Siu
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Complex Variables 复变数
分类描述:Holomorphic functions, automorphic group actions and forms, pseudoconvexity, complex geometry, analytic spaces, analytic sheaves
全纯函数,自守群作用与形式,伪凸性,复几何,解析空间,解析束
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一级分类:Mathematics 数学
二级分类:Algebraic Geometry 代数几何
分类描述:Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇,叠,束,格式,模空间,复几何,量子上同调
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英文摘要:
In the 80th birthday conference for Professor LU Qikeng in June 2006 I gave a talk on the analytic approach to the finite generation of the canonical ring for a compact complex algebraic manifold of general type. This article is my contribution to the proceedings of that conference from my talk. In this article I give an overview of the analytic proof and focus on explaining how the analytic method handles the problem of infinite number of interminable blow-ups in the intuitive approach to prove the finite generation of the canonical ring. The proceedings of the LU Qikeng conference will appear as Issue No. 4 of Volume 51 of Science in China Series A: Mathematics (www.springer.com/math/applications/journal/11425).
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PDF链接:
https://arxiv.org/pdf/0803.2454