論文

査読有り
2015年1月

Singular fibers in barking families of degenerations of elliptic curves

SINGULARITIES IN GEOMETRY AND TOPOLOGY 2011
  • Takayuki Okuda

66
開始ページ
203
終了ページ
256
記述言語
英語
掲載種別
研究論文(国際会議プロシーディングス)
出版者・発行元
MATH SOC JAPAN

Takamura [Ta3] established a theory of splitting families of degenerations of complex curves of genus g >= 1. He introduced a powerful method for constructing a splitting family, called a barking family, in which the resulting family of complex curves has a singular fiber over the origin (the main fiber) together with other singular fibers (subordinate fibers). He made a list of barking families for genera up to 5 and determined the main fibers appearing in them. This paper determines most of the subordinate fibers of the barking families in Takamura's list for the case g = 1. (There remain four undetermined cases.) Also, we show that some splittings never occur in a splitting family.

リンク情報
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000358753000013&DestApp=WOS_CPL
ID情報
  • Web of Science ID : WOS:000358753000013

エクスポート
BibTeX RIS