{"title":"Splitness of the Veronesean dual hyperovals: a quick proof","authors":"Ulrich Dempwolff","doi":"10.3336/gm.58.2.12","DOIUrl":null,"url":null,"abstract":"Satoshi Yoshiara shows in [7] that the Veronesean dual hyperovals over \\({\\mathbb F}_2\\) are of split type. So far there exists no published proof that a Veronesean dual hyperoval over any finite field of even characteristic is of split type. In this note we give a quick proof of this fact.","PeriodicalId":55601,"journal":{"name":"Glasnik Matematicki","volume":"152 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Glasnik Matematicki","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/gm.58.2.12","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Satoshi Yoshiara shows in [7] that the Veronesean dual hyperovals over \({\mathbb F}_2\) are of split type. So far there exists no published proof that a Veronesean dual hyperoval over any finite field of even characteristic is of split type. In this note we give a quick proof of this fact.
期刊介绍：
Glasnik Matematicki publishes original research papers from all fields of pure and applied mathematics. The journal is published semiannually, in June and in December.
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