Mathematica Scandinavica最新文献_第3页

Gap type results for spacelike submanifolds with parallel mean curvature vector 具有平行平均曲率向量的类空子流形的间隙型结果

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2022-12-04 DOI: 10.7146/math.scand.a-133368

W. F. C. Barboza, H. D. de Lima, M. Velásquez

引用次数: 0

Approximation and accumulation results of holomorphic mappings with dense image 密象全纯映射的逼近和积累结果

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2022-11-10 DOI: 10.7146/math.scand.a-136450

Giovanni Domenico Di Salvo

引用次数: 0

Remarks on conformal modulus in metric spaces 度量空间中保形模的注释

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2022-08-25 DOI: 10.7146/math.scand.a-136656

Matthew Romney

引用次数: 0

The AH conjecture for Cantor minimal dihedral systems Cantor最小二面体系统的AH猜想

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2022-06-22 DOI: 10.7146/math.scand.a-136741

Eduardo Scarparo

引用次数: 2

On principal value and standard extension of distributions 关于分布的主值和标准扩展

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2022-04-04 DOI: 10.7146/math.scand.a-134458

D. Barlet

{"title":"On principal value and standard extension of distributions","authors":"D. Barlet","doi":"10.7146/math.scand.a-134458","DOIUrl":"https://doi.org/10.7146/math.scand.a-134458","url":null,"abstract":"For a holomorphic function $f$ on a complex manifold $mathscr {M}$ we explain in this article that the distribution associated to $lvert frvert^{2alpha } (textrm{Log} lvert frvert^2)^q f^{-N}$ by taking the corresponding limit on the sets ${ lvert frvert geq varepsilon }$ when $varepsilon $ goes to $0$, coincides for $Re (alpha ) $ non negative and $q, N in mathbb {N}$, with the value at $lambda = alpha $ of the meromorphic extension of the distribution $lvert frvert^{2lambda } (textrm{Log} lvert frvert^2)^qf^{-N}$. This implies that any distribution in the $mathcal {D}_{mathscr {M}}$-module generated by such a distribution has the standard extension property. This implies a non $mathcal {O}_mathscr {M}$ torsion result for the $mathcal {D}_{mathscr {M}}$-module generated by such a distribution. As an application of this result we determine generators for the conjugate modules of the regular holonomic $mathcal {D}$-modules introduced and studied in [Barlet, D., On symmetric partial differential operators, Math. Z. 302 (2022), no. 3, 1627–1655] and [Barlet, D., On partial differential operators which annihilate the roots of the universal equation of degree $k$, arXiv:2101.01895] associated to the roots of universal equation of degree $k$, $z^k + sum _{h=1}^k (-1)^hsigma _hz^{k-h} = 0$.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43574855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Representability of the local motivic Brouwer degree 局部动Brouwer度的可代表性

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2022-02-24 DOI: 10.7146/math.scand.a-129287

Gereon Quick, Therese Strand, G. Wilson

{"title":"Representability of the local motivic Brouwer degree","authors":"Gereon Quick, Therese Strand, G. Wilson","doi":"10.7146/math.scand.a-129287","DOIUrl":"https://doi.org/10.7146/math.scand.a-129287","url":null,"abstract":"We study which quadratic forms are representable as the local degree of a map $f colon mathbb{A}^n to mathbb{A}^n$ with an isolated zero at $0$, following the work of Kass and Wickelgren who established the connection to the quadratic form of Eisenbud, Khimshiashvili, and Levine. Our main observation is that over some base fields $k$, not all quadratic forms are representable as a local degree. Empirically the local degree of a map $f colon mathbb{A}^n to mathbb{A}^n$ has many hyperbolic summands, and we prove that in fact this is the case for local degrees of low rank. We establish a complete classification of the quadratic forms of rank at most $7$ that are representable as the local degree of a map over all base fields of characteristic different from $2$. The number of hyperbolic summands was also studied by Eisenbud and Levine, where they establish general bounds on the number of hyperbolic forms that must appear in a quadratic form that is representable as a local degree. Our proof method is elementary and constructive in the case of rank 5 local degrees, while the work of Eisenbud and Levine is more general. We provide further families of examples that verify that the bounds of Eisenbud and Levine are tight in several cases.","PeriodicalId":49873,"journal":{"name":"Mathematica Scandinavica","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2022-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44581742","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 3

Conductivity reconstruction from power density data in limited view 有限视域下功率密度数据的电导率重建

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2022-02-24 DOI: 10.7146/math.scand.a-135820

Bjørn Jensen, K. Knudsen, Hjordis Schluter

引用次数: 2

Trudinger-type inequalities on Musielak-Orlicz-Morrey spaces of an integral form 积分形式Musielak-Orlicz-Morrey空间上的trudinger型不等式

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2022-02-24 DOI: 10.7146/math.scand.a-129245

T. Ohno, T. Shimomura

引用次数: 0

Linear resolutions and quasi-linearity of monomial ideals 单项理想的线性分辨率和拟线性

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2022-02-21 DOI: 10.7146/math.scand.a-136634

D. Lu

引用次数: 2

Complexity and rigidity of Ulrich modules, and some applications Ulrich模的复杂性和刚性及其应用

IF 0.5 4区数学

Mathematica Scandinavica Pub Date : 2022-01-04 DOI: 10.7146/math.scand.a-136499

Souvik Dey, D. Ghosh

引用次数: 6