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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 Q2 MATHEMATICS
Collectanea Mathematica
Pub Date : 2022-10-05 DOI: 10.1007/s13348-022-00376-3
A. Alzati, A. Tortora
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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 Q2 MATHEMATICS
Collectanea Mathematica
Pub Date : 2022-09-16 DOI: 10.1007/s13348-023-00392-x
Nursel Erey, J. Herzog, T. Hibi, Sara Saeedi Madani
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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 Q2 MATHEMATICS
Collectanea Mathematica
Pub Date : 2022-08-29 DOI: 10.1007/s13348-022-00374-5
Jawhar Hbil, Mohamed Zaway

The aim of this paper is to show some equivalent conditions to the convergence in (m-)capacity for a sequence of (m-)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].

本文的目的是根据(m-)次谐波函数序列的Hessian测度，给出其在(m-)容量中收敛的一些等价条件。作为应用，我们证明了一个类似于[14]中的Cegrell定理和Kołodziej定理的稳定性定理。
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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 Q2 MATHEMATICS
Collectanea Mathematica
Pub Date : 2022-08-29 DOI: 10.1007/s13348-022-00378-1
J. Hbil, M. Zaway
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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 Q2 MATHEMATICS
Collectanea Mathematica
Pub Date : 2022-08-27 DOI: 10.1007/s13348-022-00372-7
Masayuki Sukenaga

We develop a method for describing the tropical complete intersection of a tropical hypersurface and a tropical plane in (mathbb {R}^3). This involves a method for determining the topological type of the intersection of a tropical plane curve and (mathbb {R}_{le 0}^2) by using a polyhedral complex. As an application, we study smooth tropical complete intersection curves of genus 3 in (mathbb {R}^3). In particular, we show that there are no smooth tropical complete intersection curves in (mathbb {R}^3) whose skeletons are the lollipop graph of genus 3. This gives a partial answer to a problem of Morrison in [6].

本文在(mathbb {R}^3)中提出了一种描述热带超曲面与热带平面的热带完全相交的方法。这涉及到使用多面体复合体确定热带平面曲线与(mathbb {R}_{le 0}^2)相交的拓扑类型的方法。作为应用，我们研究了(mathbb {R}^3)中3属的光滑热带完全相交曲线。特别地，我们证明了(mathbb {R}^3)中不存在光滑的热带完全相交曲线，其骨架是3属的棒棒糖图。这部分回答了Morrison在[6]中的一个问题。
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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 Q2 MATHEMATICS
Collectanea Mathematica
Pub Date : 2022-08-25 DOI: 10.1007/s13348-022-00373-6
Carlo Bellavita
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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 Q2 MATHEMATICS
Collectanea Mathematica
Pub Date : 2022-08-11 DOI: 10.1007/s13348-023-00402-y
Daniel Duarte, J. Jeffries, Luis N'unez-Betancourt
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引用次数: 0
Liouville type theorems for poly-harmonic Dirichlet problems of Hénon-Hardy type equations on a half space or a ball 半空间或球上Hénon-Hardy型方程的多调和Dirichlet问题的Liouville型定理
IF 1.1 2区 数学 Q2 MATHEMATICS
Collectanea Mathematica
Pub Date : 2022-08-07 DOI: 10.1007/s13348-022-00371-8
Wei Dai
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引用次数: 0
Sharp weak type estimates for a family of Córdoba bases 一类Córdoba基的尖锐弱型估计
IF 1.1 2区 数学 Q2 MATHEMATICS
Collectanea Mathematica
Pub Date : 2022-06-07 DOI: 10.1007/s13348-022-00366-5
P. Hagelstein, A. Stokolos
{"title":"Sharp weak type estimates for a family of Córdoba bases","authors":"P. Hagelstein, A. Stokolos","doi":"10.1007/s13348-022-00366-5","DOIUrl":"https://doi.org/10.1007/s13348-022-00366-5","url":null,"abstract":"","PeriodicalId":50993,"journal":{"name":"Collectanea Mathematica","volume":"74 1","pages":"595 - 603"},"PeriodicalIF":1.1,"publicationDate":"2022-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49178427","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
Generic finiteness of 3-canonical maps of varieties of Albanese fiber dimension one 1维Albanese纤维品种3-正则映射的一般有限性
IF 1.1 2区 数学 Q2 MATHEMATICS
Collectanea Mathematica
Pub Date : 2022-05-30 DOI: 10.1007/s13348-022-00364-7
Yuesen Chen
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引用次数: 0
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