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2015 Fiscal Year Final Research Report

Research of normal surface singularities related to degeneration families of compact Riemann surfaces.

Research Project

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Project/Area Number 25400064
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Geometry
Research InstitutionGunma University

Principal Investigator

Tomaru Tadashi  群馬大学, 保健学研究科, 教授 (70132579)

Project Period (FY) 2013-04-01 – 2016-03-31
Keywords複素2次元特異点 / 極大イデアルサイクル / 基本サイクル / 閉リーマン面の退化族 / 特異点解消空間
Outline of Final Research Achievements

We have been researching the relation between the maximal ideal cycle and the fundamental cycle for normal surface singularities. These cycles are important when we consider the relation between degeneration families of compact Riemann surfaces and surface singularities. For the result above, I wrote a paper with Masataka Tomari and we submitted it Tohoku Math. J. and it was accepted in September of 2015. Recently, I have been researching of embedded points of the pull-backs of maximal ideasl of normal surface singularities. Also, I studied the relation between it and pencil genus. I presented several times those results at symposiums and conferences. Now I am preparing to write a paper on it.

Free Research Field

複素解析幾何学

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Published: 2017-05-10  

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