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Restricted secant varieties of Grassmannians 格拉斯曼草的限制割线变种
IF 1.1 2区 数学
Collectanea Mathematica Pub Date : 2022-11-02 DOI: 10.1007/s13348-023-00399-4
Dalton Bidleman, Luke Oeding
{"title":"Restricted secant varieties of Grassmannians","authors":"Dalton Bidleman, Luke Oeding","doi":"10.1007/s13348-023-00399-4","DOIUrl":"https://doi.org/10.1007/s13348-023-00399-4","url":null,"abstract":"","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43741225","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Morse index bounds for minimal submanifolds 最小子流形的莫尔斯指数界
IF 1.1 2区 数学
Collectanea Mathematica Pub Date : 2022-10-21 DOI: 10.1007/s13348-022-00380-7
Diego Adauto, M. Batista
{"title":"Morse index bounds for minimal submanifolds","authors":"Diego Adauto, M. Batista","doi":"10.1007/s13348-022-00380-7","DOIUrl":"https://doi.org/10.1007/s13348-022-00380-7","url":null,"abstract":"","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46842519","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Massey products and Fujita decomposition over higher dimensional base 高维基底上的Massey积和Fujita分解
IF 1.1 2区 数学
Collectanea Mathematica Pub Date : 2022-10-17 DOI: 10.1007/s13348-023-00397-6
L. Rizzi
{"title":"Massey products and Fujita decomposition over higher dimensional base","authors":"L. Rizzi","doi":"10.1007/s13348-023-00397-6","DOIUrl":"https://doi.org/10.1007/s13348-023-00397-6","url":null,"abstract":"","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45728829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Some remarks on the geometry of the tautological model 关于同义式模型的几何问题
IF 1.1 2区 数学
Collectanea Mathematica Pub Date : 2022-10-05 DOI: 10.1007/s13348-022-00376-3
A. Alzati, A. Tortora
{"title":"Some remarks on the geometry of the tautological model","authors":"A. Alzati, A. Tortora","doi":"10.1007/s13348-022-00376-3","DOIUrl":"https://doi.org/10.1007/s13348-022-00376-3","url":null,"abstract":"","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43619629","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The normalized depth function of squarefree powers 无平方幂的归一化深度函数
IF 1.1 2区 数学
Collectanea Mathematica Pub Date : 2022-09-16 DOI: 10.1007/s13348-023-00392-x
Nursel Erey, J. Herzog, T. Hibi, Sara Saeedi Madani
{"title":"The normalized depth function of squarefree powers","authors":"Nursel Erey, J. Herzog, T. Hibi, Sara Saeedi Madani","doi":"10.1007/s13348-023-00392-x","DOIUrl":"https://doi.org/10.1007/s13348-023-00392-x","url":null,"abstract":"","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-09-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42696081","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 5
Capacity and stability on some Cegrell classes of $$m-$$ m - subharmonic functions 若干Cegrell类$$m-$$ m -次调和函数的容量与稳定性
IF 1.1 2区 数学
Collectanea Mathematica Pub Date : 2022-08-29 DOI: 10.1007/s13348-022-00374-5
Jawhar Hbil, Mohamed Zaway
{"title":"Capacity and stability on some Cegrell classes of $$m-$$ m - subharmonic functions","authors":"Jawhar Hbil, Mohamed Zaway","doi":"10.1007/s13348-022-00374-5","DOIUrl":"https://doi.org/10.1007/s13348-022-00374-5","url":null,"abstract":"<p>The aim of this paper is to show some equivalent conditions to the convergence in <span>(m-)</span>capacity for a sequence of <span>(m-)</span>subharmonic functions based on its Hessian measure. As an application, we prove a stability theorem which is analogous to Cegrell and Kołodziej theorem from [14].</p>","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138543532","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Correction to: Capacity and stability on some Cegrell classes of m − subharmonic functions 对某些Cegrell类m的容量和稳定性的修正 − 次调和函数
IF 1.1 2区 数学
Collectanea Mathematica Pub Date : 2022-08-29 DOI: 10.1007/s13348-022-00378-1
J. Hbil, M. Zaway
{"title":"Correction to: Capacity and stability on some Cegrell classes of m − subharmonic functions","authors":"J. Hbil, M. Zaway","doi":"10.1007/s13348-022-00378-1","DOIUrl":"https://doi.org/10.1007/s13348-022-00378-1","url":null,"abstract":"","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44511806","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Smooth tropical complete intersection curves of genus 3 in $$mathbb {R}^3$$ R 3 在$$mathbb {R}^3$$ R 3中属3的光滑热带完全相交曲线
IF 1.1 2区 数学
Collectanea Mathematica Pub Date : 2022-08-27 DOI: 10.1007/s13348-022-00372-7
Masayuki Sukenaga
{"title":"Smooth tropical complete intersection curves of genus 3 in $$mathbb {R}^3$$ R 3","authors":"Masayuki Sukenaga","doi":"10.1007/s13348-022-00372-7","DOIUrl":"https://doi.org/10.1007/s13348-022-00372-7","url":null,"abstract":"<p>We develop a method for describing the tropical complete intersection of a tropical hypersurface and a tropical plane in <span>(mathbb {R}^3)</span>. This involves a method for determining the topological type of the intersection of a tropical plane curve and <span>(mathbb {R}_{le 0}^2)</span> by using a polyhedral complex. As an application, we study smooth tropical complete intersection curves of genus 3 in <span>(mathbb {R}^3)</span>. In particular, we show that there are no smooth tropical complete intersection curves in <span>(mathbb {R}^3)</span> whose skeletons are the lollipop graph of genus 3. This gives a partial answer to a problem of Morrison in [6].</p>","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138505280","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Necessary and sufficient condition for boundedness of translation operator in de Branges spaces de Branges空间中平移算子有界性的充分必要条件
IF 1.1 2区 数学
Collectanea Mathematica Pub Date : 2022-08-25 DOI: 10.1007/s13348-022-00373-6
Carlo Bellavita
{"title":"Necessary and sufficient condition for boundedness of translation operator in de Branges spaces","authors":"Carlo Bellavita","doi":"10.1007/s13348-022-00373-6","DOIUrl":"https://doi.org/10.1007/s13348-022-00373-6","url":null,"abstract":"","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42375452","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Nash blowups of toric varieties in prime characteristic 托力品种素数特征的纳什膨胀
IF 1.1 2区 数学
Collectanea Mathematica Pub Date : 2022-08-11 DOI: 10.1007/s13348-023-00402-y
Daniel Duarte, J. Jeffries, Luis N'unez-Betancourt
{"title":"Nash blowups of toric varieties in prime characteristic","authors":"Daniel Duarte, J. Jeffries, Luis N'unez-Betancourt","doi":"10.1007/s13348-023-00402-y","DOIUrl":"https://doi.org/10.1007/s13348-023-00402-y","url":null,"abstract":"","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2022-08-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46390700","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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