Joachim Jelisiejew, Kristian Ranestad, Frank-Olaf Schreyer
{"title":"The Variety of Polar Simplices II","authors":"Joachim Jelisiejew, Kristian Ranestad, Frank-Olaf Schreyer","doi":"10.1080/10586458.2024.2343846","DOIUrl":null,"url":null,"abstract":"We discuss the space VPS(Q, H) of ideals with Hilbert function H=(1,n,n,…) that are apolar to a full rank quadric Q. We prove that its components of saturated ideals are closely related to the locu...","PeriodicalId":50464,"journal":{"name":"Experimental Mathematics","volume":"66 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2024-04-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Experimental Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/10586458.2024.2343846","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We discuss the space VPS(Q, H) of ideals with Hilbert function H=(1,n,n,…) that are apolar to a full rank quadric Q. We prove that its components of saturated ideals are closely related to the locu...
期刊介绍：
Experimental Mathematics publishes original papers featuring formal results inspired by experimentation, conjectures suggested by experiments, and data supporting significant hypotheses.
Experiment has always been, and increasingly is, an important method of mathematical discovery. (Gauss declared that his way of arriving at mathematical truths was "through systematic experimentation.") Yet this tends to be concealed by the tradition of presenting only elegant, fully developed, and rigorous results.
Experimental Mathematics was founded in the belief that theory and experiment feed on each other, and that the mathematical community stands to benefit from a more complete exposure to the experimental process. The early sharing of insights increases the possibility that they will lead to theorems: An interesting conjecture is often formulated by a researcher who lacks the techniques to formalize a proof, while those who have the techniques at their fingertips have been looking elsewhere. Even when the person who had the initial insight goes on to find a proof, a discussion of the heuristic process can be of help, or at least of interest, to other researchers. There is value not only in the discovery itself, but also in the road that leads to it.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
