{"title":"棱镜化","authors":"Vladimir Drinfeld","doi":"10.1007/s00029-024-00937-3","DOIUrl":null,"url":null,"abstract":"<p>The eventual goal is to construct three related “prismatization” functors from the category of <i>p</i>-adic formal schemes to that of formal stacks. This should provide a good category of coefficients for prismatic cohomology in the spirit of <i>F</i>-gauges. In this article we define and study the three versions of the prismatization of <span>\\({{\\,\\mathrm{{Spf}}\\,}}{\\mathbb {Z}}_p\\)</span>.</p>","PeriodicalId":501600,"journal":{"name":"Selecta Mathematica","volume":"5 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-05-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Prismatization\",\"authors\":\"Vladimir Drinfeld\",\"doi\":\"10.1007/s00029-024-00937-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>The eventual goal is to construct three related “prismatization” functors from the category of <i>p</i>-adic formal schemes to that of formal stacks. This should provide a good category of coefficients for prismatic cohomology in the spirit of <i>F</i>-gauges. In this article we define and study the three versions of the prismatization of <span>\\\\({{\\\\,\\\\mathrm{{Spf}}\\\\,}}{\\\\mathbb {Z}}_p\\\\)</span>.</p>\",\"PeriodicalId\":501600,\"journal\":{\"name\":\"Selecta Mathematica\",\"volume\":\"5 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-05-07\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Selecta Mathematica\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s00029-024-00937-3\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Selecta Mathematica","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00029-024-00937-3","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The eventual goal is to construct three related “prismatization” functors from the category of p-adic formal schemes to that of formal stacks. This should provide a good category of coefficients for prismatic cohomology in the spirit of F-gauges. In this article we define and study the three versions of the prismatization of \({{\,\mathrm{{Spf}}\,}}{\mathbb {Z}}_p\).
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