{"title":"维罗尼斯对偶超元的分裂性:快速证明","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":"{\"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}","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}
Splitness of the Veronesean dual hyperovals: a quick proof
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.