{"title":"Higher rank prioritary bundles on ruled surfaces and their global sections","authors":"L. Costa, I. Macías Tarrío","doi":"10.1007/s10231-024-01541-0","DOIUrl":null,"url":null,"abstract":"<div><p>Let <i>X</i> be a ruled surface over a nonsingular curve <i>C</i> of genus <span>\\(g\\ge 0\\)</span>. The main goal of this paper is to construct simple prioritary vector bundles of any rank <i>r</i> on <i>X</i> and to give effective bounds for the dimension of their module of global sections.\n</p></div>","PeriodicalId":8265,"journal":{"name":"Annali di Matematica Pura ed Applicata","volume":"204 4","pages":"1633 - 1655"},"PeriodicalIF":0.9000,"publicationDate":"2025-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s10231-024-01541-0.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali di Matematica Pura ed Applicata","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10231-024-01541-0","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
Abstract
Let X be a ruled surface over a nonsingular curve C of genus \(g\ge 0\). The main goal of this paper is to construct simple prioritary vector bundles of any rank r on X and to give effective bounds for the dimension of their module of global sections.
期刊介绍:
This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it).
A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.