{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,2]],"date-time":"2025-11-02T10:15:48Z","timestamp":1762078548441},"reference-count":32,"publisher":"American Mathematical Society (AMS)","issue":"248","license":[{"start":{"date-parts":[[2005,3,18]],"date-time":"2005-03-18T00:00:00Z","timestamp":1111104000000},"content-version":"am","delay-in-days":365,"URL":"https:\/\/www.ams.org\/publications\/copyright-and-permissions"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Math. Comp."],"abstract":"<p>We investigate configurations of rational double points with the total Milnor number <inline-formula content-type=\"math\/mathml\">\n<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"21\">\n  <mml:semantics>\n    <mml:mn>21<\/mml:mn>\n    <mml:annotation encoding=\"application\/x-tex\">21<\/mml:annotation>\n  <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula> on supersingular <inline-formula content-type=\"math\/mathml\">\n<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper K Baseline 3\">\n  <mml:semantics>\n    <mml:mrow>\n      <mml:mi>K<\/mml:mi>\n      <mml:mn>3<\/mml:mn>\n    <\/mml:mrow>\n    <mml:annotation encoding=\"application\/x-tex\">K3<\/mml:annotation>\n  <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula> surfaces. The complete list of possible configurations is given. As an application, we also give the complete list of extremal (quasi-)elliptic fibrations on supersingular <inline-formula content-type=\"math\/mathml\">\n<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"upper K Baseline 3\">\n  <mml:semantics>\n    <mml:mrow>\n      <mml:mi>K<\/mml:mi>\n      <mml:mn>3<\/mml:mn>\n    <\/mml:mrow>\n    <mml:annotation encoding=\"application\/x-tex\">K3<\/mml:annotation>\n  <\/mml:semantics>\n<\/mml:math>\n<\/inline-formula> surfaces.<\/p>","DOI":"10.1090\/s0025-5718-04-01641-2","type":"journal-article","created":{"date-parts":[[2004,6,11]],"date-time":"2004-06-11T19:05:00Z","timestamp":1086980700000},"page":"1989-2017","source":"Crossref","is-referenced-by-count":13,"title":["Rational double points on supersingular \ud835\udc3e3 surfaces"],"prefix":"10.1090","volume":"73","author":[{"given":"Ichiro","family":"Shimada","sequence":"first","affiliation":[]}],"member":"14","published-online":{"date-parts":[[2004,3,18]]},"reference":[{"key":"1","series-title":"Lecture Notes in Mathematics, Vol. 146","doi-asserted-by":"crossref","DOI":"10.1007\/BFb0060932","volume-title":"Introduction to Grothendieck duality theory","author":"Altman, Allen","year":"1970"},{"key":"2","doi-asserted-by":"publisher","first-page":"485","DOI":"10.2307\/2372985","article-title":"Some numerical criteria for contractability of curves on algebraic surfaces","volume":"84","author":"Artin, Michael","year":"1962","journal-title":"Amer. 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