Good Geometry on the Curve Moduli | Zendy

Kefeng Liu | Zendy; Xiaofeng Sun | Zendy; ShingTung Yau | Zendy

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Good Geometry on the Curve Moduli

Author(s) -

Kefeng Liu,

Xiaofeng Sun,

ShingTung Yau

Publication year - 2008

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1210167341

Subject(s) - mathematics , algebraic geometry , moduli , moduli space , riemann surface , differential geometry , geometry , algebraic number , algebraic curve , pure mathematics , geometry and topology , algebra over a field , calculus (dental) , mathematical analysis , medicine , dentistry , physics , quantum mechanics

This paper is written to dedicate to Professor Hironaka for his outstanding contributions to mathematics, especially in algebraic geometry. His leadership in Asia has inspired many generations of asian mathematicians. We wish many young mathematicians will continue to follow his footsteps in this grand subject. In this paper we describe some of our recent results in the asymptotic analysis of various Kähler metrics and their curvatures on the moduli spaces of Riemann surfaces. These works will enable us to use differential geometric techniques to study various algebraic geometric and topological problems about

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