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Arkiv for Matematik最新文献

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Yagita’s counter-examples and beyond Yagita的反例及其他
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2023-01-01 DOI: 10.4310/arkiv.2023.v61.n1.a1
S. Baek, N. Karpenko
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引用次数: 0
The extensions of $t$-structures $t$-结构的扩展
4区 数学
Arkiv for Matematik Pub Date : 2023-01-01 DOI: 10.4310/arkiv.2023.v61.n2.a4
Xiao-Wu Chen, Zengqiang Lin, Yu Zhou
{"title":"The extensions of $t$-structures","authors":"Xiao-Wu Chen, Zengqiang Lin, Yu Zhou","doi":"10.4310/arkiv.2023.v61.n2.a4","DOIUrl":"https://doi.org/10.4310/arkiv.2023.v61.n2.a4","url":null,"abstract":"","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135612491","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: 0
Quantum Euler class and virtual Tevelev degrees of Fano complete intersections 范诺完全交点的量子欧拉类和虚水平度
4区 数学
Arkiv for Matematik Pub Date : 2023-01-01 DOI: 10.4310/arkiv.2023.v61.n2.a3
Alessio Cela
{"title":"Quantum Euler class and virtual Tevelev degrees of Fano complete intersections","authors":"Alessio Cela","doi":"10.4310/arkiv.2023.v61.n2.a3","DOIUrl":"https://doi.org/10.4310/arkiv.2023.v61.n2.a3","url":null,"abstract":"We compute the quantum Euler class of Fano complete intersections X in a projective space. In particular, we prove a recent conjecture of A. Buch and R. Pandharipande. Finally we apply our result to obtain formulas for the virtual Tevelev degrees of X. An algorithm computing all genus 0 two-point Hyperplane Gromov Witten invariants of X is illustrated along the way.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135660382","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: 5
Universality of general Dirichlet series with respect to translations and rearrangements 一般狄利克雷级数关于平移和重排的通用性
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2022-05-12 DOI: 10.4310/arkiv.2023.v61.n1.a2
F. Bayart
{"title":"Universality of general Dirichlet series with respect to translations and rearrangements","authors":"F. Bayart","doi":"10.4310/arkiv.2023.v61.n1.a2","DOIUrl":"https://doi.org/10.4310/arkiv.2023.v61.n1.a2","url":null,"abstract":"We give sufficient conditions for a general Dirichlet series to be universal with respect to translations or rearrangements.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70394516","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: 1
A Whittaker category for the symplectic Lie algebra and differential operators 辛李代数和微分算子的惠特克范畴
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2022-03-27 DOI: 10.4310/arkiv.2023.v61.n1.a7
Yang Li, Jun Zhao, Yuanyuan Zhang, Genqiang Liu
{"title":"A Whittaker category for the symplectic Lie algebra and differential operators","authors":"Yang Li, Jun Zhao, Yuanyuan Zhang, Genqiang Liu","doi":"10.4310/arkiv.2023.v61.n1.a7","DOIUrl":"https://doi.org/10.4310/arkiv.2023.v61.n1.a7","url":null,"abstract":"For any $nin mathbb{Z}_{geq 2}$, let $mathfrak{m}_n$ be the subalgebra of $mathfrak{sp}_{2n}$ spanned by all long negative root vectors $X_{-2epsilon_i}$, $i=1,dots,n$. An $mathfrak{sp}_{2n}$-module $M$ is called a Whittaker module with respect to the Whittaker pair $(mathfrak{sp}_{2n},mathfrak{m}_n)$ if the action of $mathfrak{m}_n$ on $M$ is locally finite, according to a definition of Batra and Mazorchuk. This kind of modules are more general than the classical Whittaker modules defined by Kostant. In this paper, we show that each non-singular block $mathcal{WH}_{mathbf{a}}^{mu}$ with finite dimensional Whittaker vector subspaces is equivalent to a module category $mathcal{W}^{mathbf{a}}$ of the even Weyl algebra $mathcal{D}_n^{ev}$ which is semi-simple. As a corollary, any simple module in the block $mathcal{WH}_{mathbf{i}}^{-frac{1}{2}omega_n}$ for the fundamental weight $omega_n$ is equivalent to the Nilsson's module $N_{mathbf{i}}$ up to an automorphism of $mathfrak{sp}_{2n}$. We also characterize all possible algebra homomorphisms from $U(mathfrak{sp}_{2n})$ to the Weyl algebra $mathcal{D}_n$ under a natural condition.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-03-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70394607","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
Dimension compression and expansion under homeomorphisms with exponentially integrable distortion 具有指数可积畸变的同胚下的维数压缩和展开
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2022-03-24 DOI: 10.4310/arkiv.2022.v60.n2.a9
L. Hitruhin
{"title":"Dimension compression and expansion under homeomorphisms with exponentially integrable distortion","authors":"L. Hitruhin","doi":"10.4310/arkiv.2022.v60.n2.a9","DOIUrl":"https://doi.org/10.4310/arkiv.2022.v60.n2.a9","url":null,"abstract":". We improve both dimension compression and expansion bounds for homeomorphisms with p -exponentially integrable distortion. To the first direction we also introduce estimates for the compression multifractal spectra, which will be used to estimate compression of dimension, and for the rotational multifractal spectra. For establishing the expansion case we use the multifractal spectra of the inverse mapping and construct examples proving sharpness.","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47511940","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: 1
Notes on $H^{log}$: structural properties, dyadic variants, and bilinear $H^1$-$operatorname{BMO}$ mappings $H^{log}$的注释:结构性质、二元变量和双线性$H^1$-$operatorname{BMO}$映射
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2022-01-01 DOI: 10.4310/arkiv.2022.v60.n2.a2
Odysseas N. Bakas, S. Pott, Salvador Rodríguez-López, A. Sola
{"title":"Notes on $H^{log}$: structural properties, dyadic variants, and bilinear $H^1$-$operatorname{BMO}$ mappings","authors":"Odysseas N. Bakas, S. Pott, Salvador Rodríguez-López, A. Sola","doi":"10.4310/arkiv.2022.v60.n2.a2","DOIUrl":"https://doi.org/10.4310/arkiv.2022.v60.n2.a2","url":null,"abstract":"","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393530","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: 0
Weil–Poincaré series and topology of collections of valuations on rational double points 有理双点上赋值集合的weil - poincar<s:1>级数和拓扑
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2022-01-01 DOI: 10.4310/arkiv.2022.v60.n2.a4
A. Campillo, F. Delgado, S. Gusein-Zade
{"title":"Weil–Poincaré series and topology of collections of valuations on rational double points","authors":"A. Campillo, F. Delgado, S. Gusein-Zade","doi":"10.4310/arkiv.2022.v60.n2.a4","DOIUrl":"https://doi.org/10.4310/arkiv.2022.v60.n2.a4","url":null,"abstract":"","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70394113","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: 0
On Hedenmalm–Shimorin type inequalities Hedenmalm-Shimorin型不等式
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2022-01-01 DOI: 10.4310/arkiv.2022.v60.n2.a7
Yong Han, Yanqi Qiu, Zipeng Wang
{"title":"On Hedenmalm–Shimorin type inequalities","authors":"Yong Han, Yanqi Qiu, Zipeng Wang","doi":"10.4310/arkiv.2022.v60.n2.a7","DOIUrl":"https://doi.org/10.4310/arkiv.2022.v60.n2.a7","url":null,"abstract":"","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70394237","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: 0
A quantitative Gauss–Lucas theorem 定量高斯-卢卡斯定理
IF 0.7 4区 数学
Arkiv for Matematik Pub Date : 2022-01-01 DOI: 10.4310/arkiv.2022.v60.n1.a9
V. Totik
{"title":"A quantitative Gauss–Lucas theorem","authors":"V. Totik","doi":"10.4310/arkiv.2022.v60.n1.a9","DOIUrl":"https://doi.org/10.4310/arkiv.2022.v60.n1.a9","url":null,"abstract":". A conjecture of T. Richards is proven which yields a quantitative version of the classical Gauss-Lucas theorem: if K is a convex set, then for every ε> 0 there is an α ε < 1 such that if a polynomial P n of degree at most n has k ≥ α ε n zeros in K , then P (cid:2) n has at least k − 1 zeros in the ε -neighborhood of K . Estimates are given for the dependence of α ε on ε .","PeriodicalId":55569,"journal":{"name":"Arkiv for Matematik","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"70393460","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: 1
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