{"title":"奇特征恩里克曲面的Qℓ-同调投影面","authors":"Matthias Schütt","doi":"10.1016/j.indag.2024.01.007","DOIUrl":null,"url":null,"abstract":"<div><p>We give a complete classification of <span><math><msub><mrow><mi>Q</mi></mrow><mrow><mi>ℓ</mi></mrow></msub></math></span>-cohomology projective planes with isolated ADE-singularities and numerically trivial canonical bundle in odd characteristic. This leads to a beautiful relation with certain Enriques surfaces which parallels the situation in characteristic zero, yet displays intriguing subtleties.</p></div>","PeriodicalId":56126,"journal":{"name":"Indagationes Mathematicae-New Series","volume":"35 4","pages":"Pages 744-767"},"PeriodicalIF":0.5000,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0019357724000077/pdfft?md5=3c3aaaef3ddd511c727a0f394e98674a&pid=1-s2.0-S0019357724000077-main.pdf","citationCount":"0","resultStr":"{\"title\":\"Qℓ-cohomology projective planes from Enriques surfaces in odd characteristic\",\"authors\":\"Matthias Schütt\",\"doi\":\"10.1016/j.indag.2024.01.007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We give a complete classification of <span><math><msub><mrow><mi>Q</mi></mrow><mrow><mi>ℓ</mi></mrow></msub></math></span>-cohomology projective planes with isolated ADE-singularities and numerically trivial canonical bundle in odd characteristic. This leads to a beautiful relation with certain Enriques surfaces which parallels the situation in characteristic zero, yet displays intriguing subtleties.</p></div>\",\"PeriodicalId\":56126,\"journal\":{\"name\":\"Indagationes Mathematicae-New Series\",\"volume\":\"35 4\",\"pages\":\"Pages 744-767\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-07-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S0019357724000077/pdfft?md5=3c3aaaef3ddd511c727a0f394e98674a&pid=1-s2.0-S0019357724000077-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indagationes Mathematicae-New Series\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0019357724000077\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae-New Series","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0019357724000077","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Qℓ-cohomology projective planes from Enriques surfaces in odd characteristic
We give a complete classification of -cohomology projective planes with isolated ADE-singularities and numerically trivial canonical bundle in odd characteristic. This leads to a beautiful relation with certain Enriques surfaces which parallels the situation in characteristic zero, yet displays intriguing subtleties.
期刊介绍:
Indagationes Mathematicae is a peer-reviewed international journal for the Mathematical Sciences of the Royal Dutch Mathematical Society. The journal aims at the publication of original mathematical research papers of high quality and of interest to a large segment of the mathematics community. The journal also welcomes the submission of review papers of high quality.