---

＜電子ブック＞
Dynkin Graphs and Quadrilateral Singularities / by Tohsuke Urabe
(Mathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ; 1548)

版	1st ed. 1993.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1993
大きさ	CCXLVIII, 242 p : online resource
著者標目	*Urabe, Tohsuke author SpringerLink (Online service)
件　名	LCSH:Graph theory LCSH:Algebraic geometry LCSH:Mathematical analysis FREE:Graph Theory FREE:Algebraic Geometry FREE:Analysis
一般注記	Quadrilateral singularities and elliptic K3 surfaces -- Theorems with the Ik-conditions for J 3,0, Z 1,0 and Q 2,0 -- Obstruction components -- Concept of co-root modules The study of hypersurface quadrilateral singularities can be reduced to the study of elliptic K3 surfaces with a singular fiber of type I * 0 (superscript *, subscript 0), and therefore these notes consider, besides the topics of the title, such K3 surfaces too. The combinations of rational double points that can occur on fibers in the semi-universal deformations of quadrilateral singularities are examined, to show that the possible combinations can be described by a certain law from the viewpoint of Dynkin graphs. This is equivalent to saying that the possible combinations of singular fibers in elliptic K3 surfaces with a singular fiber of type I * 0 (superscript *, subscript 0) can be described by a certain law using classical Dynkin graphs appearing in the theory of semi-simple Lie groups. Further, a similar description for thecombination of singularities on plane sextic curves is given. Standard knowledge of algebraic geometry at the level of graduate students is expected. A new method based on graphs will attract attention of researches HTTP:URL=https://doi.org/10.1007/BFb0084369

 類似資料