{"product_id":"dynkin-graphs-and-quadrilateral-singularities-von-tohsuke-urabe","title":"Dynkin Graphs and Quadrilateral Singularities","description":"The study of hypersurface quadrilateral singularities can be\nreduced to the study of elliptic K3 surfaces with a singular\nfiber of type I * 0           (superscript *, subscript 0), and\ntherefore these notes consider, besides   the topics of the\ntitle, such K3 surfaces too.\nThe combinations of      rational double points that can occur on\nfibers in the semi-universal       deformations of quadrilateral\nsingularities are examined, to show that the  possible\ncombinations can be described by a certain law from                the\nviewpoint of Dynkin graphs. This is equivalent to saying\nthat the   possible combinations of singular fibers in\nelliptic K3 surfaces with a     singular fiber of type I * 0\n(superscript *, subscript 0) can be described  by a certain\nlaw using classical Dynkin graphs appearing in the             theory\nof semi-simple Lie groups. Further, a similar description\nfor thecombination of singularities on plane sextic curves\nis given. Standard      knowledge of algebraic geometry at the\nlevel of graduate students is        expected. A new method based\non graphs will attract attention of researches.\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783540568773\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783540568773","offer_id":39427868491869,"sku":"9783540568773","price":48.14,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/239986c8-8958-4baa-af73-cb69f71b9080.jpg?v=1772084820","url":"https:\/\/shop.autorenwelt.de\/products\/dynkin-graphs-and-quadrilateral-singularities-von-tohsuke-urabe","provider":"Autorenwelt Shop","version":"1.0","type":"link"}