估值空间子集的参数化

IF 1 3区数学 Q1 MATHEMATICS

Mathematische Zeitschrift Pub Date : 2024-07-11 DOI:10.1007/s00209-024-03554-0

Josnei Novacoski, Caio Henrique Silva de Souza

{"title":"估值空间子集的参数化","authors":"Josnei Novacoski, Caio Henrique Silva de Souza","doi":"10.1007/s00209-024-03554-0","DOIUrl":null,"url":null,"abstract":"In this paper we present different ways to parametrize subsets of the space of valuations on K[x] extending a given valuation on K. We discuss the methods using pseudo-Cauchy sequences and approximation types. The method presented here is slightly different than the ones in the literature and we believe that our approach is more accurate.","PeriodicalId":18278,"journal":{"name":"Mathematische Zeitschrift","volume":"17 1","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2024-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Parametrizations of subsets of the space of valuations\",\"authors\":\"Josnei Novacoski, Caio Henrique Silva de Souza\",\"doi\":\"10.1007/s00209-024-03554-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we present different ways to parametrize subsets of the space of valuations on K[x] extending a given valuation on K. We discuss the methods using pseudo-Cauchy sequences and approximation types. The method presented here is slightly different than the ones in the literature and we believe that our approach is more accurate.\",\"PeriodicalId\":18278,\"journal\":{\"name\":\"Mathematische Zeitschrift\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-07-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematische Zeitschrift\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00209-024-03554-0\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematische Zeitschrift","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00209-024-03554-0","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们提出了不同的方法来参数化 K[x] 上估值空间的子集，扩展 K 上的给定估值。本文介绍的方法与文献中的方法略有不同，我们相信我们的方法更加精确。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Parametrizations of subsets of the space of valuations

查看原文本刊更多论文

Parametrizations of subsets of the space of valuations

In this paper we present different ways to parametrize subsets of the space of valuations on K[x] extending a given valuation on K. We discuss the methods using pseudo-Cauchy sequences and approximation types. The method presented here is slightly different than the ones in the literature and we believe that our approach is more accurate.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊