Non ti piace? Non importa! Puoi restituircelo entro 30 giorni
Non puoi sbagliarti con un buono regalo. Con il buono regalo, il destinatario può scegliere qualsiasi prodotto della nostra offerta.
30 giorni per il reso
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.