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Hilbert modules and complex analytic fibre spaces Hilbert模与复解析纤维空间
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-12-16 DOI: 10.4171/rlm/949
H. Upmeier
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引用次数: 0
Evolution by Levi form in $mathbb{P}^2$ $mathbb{P}^2$中Levi形式的演化
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-12-16 DOI: 10.4171/rlm/948
G. Tomassini
{"title":"Evolution by Levi form in $mathbb{P}^2$","authors":"G. Tomassini","doi":"10.4171/rlm/948","DOIUrl":"https://doi.org/10.4171/rlm/948","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47804666","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
Discontinuous solutions of $U_t + H(U_x) = 0$ versus measure-valued solutions of $u_t + [H(u)]_x = 0$ $U_t + H(U_x) = 0$的不连续解与$U_t + [H(u)]_x = 0$的测度值解
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-12-16 DOI: 10.4171/rlm/941
A. Tesei
{"title":"Discontinuous solutions of $U_t + H(U_x) = 0$ versus measure-valued solutions of $u_t + [H(u)]_x = 0$","authors":"A. Tesei","doi":"10.4171/rlm/941","DOIUrl":"https://doi.org/10.4171/rlm/941","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46332202","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 physics-informed multi-fidelity approach for the estimation of differential equations parameters in low-data or large-noise regimes 低数据或大噪声条件下微分方程参数估计的物理信息多保真度方法
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-12-16 DOI: 10.4171/rlm/943
Francesco Regazzoni, S. Pagani, Alessandro Cosenza, A. Lombardi, A. Quarteroni
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引用次数: 4
Optimal horizontal joinability on the Engel group Engel群的最优水平接合性
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-12-16 DOI: 10.4171/rlm/947
Alexander Greshnov
{"title":"Optimal horizontal joinability on the Engel group","authors":"Alexander Greshnov","doi":"10.4171/rlm/947","DOIUrl":"https://doi.org/10.4171/rlm/947","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47243044","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
On the birationality of the Hessian maps of quartic curves and cubic surfaces 关于四次曲线和三次曲面的Hessian映射的对偶性
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-11-01 DOI: 10.4171/rlm/991
A. Dimca, Gabriel Sticlaru
{"title":"On the birationality of the Hessian maps of quartic curves and cubic surfaces","authors":"A. Dimca, Gabriel Sticlaru","doi":"10.4171/rlm/991","DOIUrl":"https://doi.org/10.4171/rlm/991","url":null,"abstract":"We show that the hessian map of quartic plane curves is a birational morphism onto its image, thus bringing new evidence for a very interesting conjecture of Ciro Ciliberto and Giorgio Ottaviani. Our new approach also yields a simpler proof of the similar property for cubic surfaces, which is already known by the work of these two authors.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42309343","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
A note on BV and 1-Sobolev functions on the weighted Euclidean space 关于加权欧氏空间上BV和1-Sobolev函数的一个注记
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-10-06 DOI: 10.4171/rlm/988
M. Gelli, Danka Luvci'c
{"title":"A note on BV and 1-Sobolev functions on the weighted Euclidean space","authors":"M. Gelli, Danka Luvci'c","doi":"10.4171/rlm/988","DOIUrl":"https://doi.org/10.4171/rlm/988","url":null,"abstract":"In the setting of the Euclidean space equipped with an arbitrary Radon measure, we prove the equivalence between several notions of function of bounded variation present in the literature. We also study the relation between various definitions of 1-Sobolev function.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49374279","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
Hyperelliptic continued fractions in the singular case of genus zero 属零奇异情况下的超椭圆连分数
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-08-14 DOI: 10.4171/rlm/989
Francesco Ballini, F. Veneziano
{"title":"Hyperelliptic continued fractions in the singular case of genus zero","authors":"Francesco Ballini, F. Veneziano","doi":"10.4171/rlm/989","DOIUrl":"https://doi.org/10.4171/rlm/989","url":null,"abstract":"It is possible to define a continued fraction expansion of elements in a function field of a curve by expanding as a Laurent series in a local parameter. Considering the square root of a polynomial $sqrt{D(t)}$ leads to an interesting theory related to polynomial Pell equations. Unlike the classical Pell equation, the corresponding polynomial equation is not always solvable and its solvability is related to arithmetic conditions on the Jacobian (or generalized Jacobian) of the curve defined by $y^2=D(t)$. In this setting, it has been shown by Zannier in cite{zannier} that the sequence of the degrees of the partial quotients of the continued fraction expansion of $sqrt{D(t)}$ is always periodic, even when the expansion itself is not. In this article we work out in detail the case in which the curve $y^2=D(t)$ has genus 0, establishing explicit geometric conditions corresponding to the appearance of partial quotients of certain degrees in the continued fraction expansion. We also show that there are non-trivial polynomials $D(t)$ with non-periodic expansions such that infinitely many partial quotients have degree greater than one.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43592077","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
Betti numbers of Brill–Noether varieties on a general curve 一般曲线上Brill-Noether变种的Betti数
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-07-23 DOI: 10.4171/rlm/964
Camilla Felisetti, C. Fontanari
{"title":"Betti numbers of Brill–Noether varieties on a general curve","authors":"Camilla Felisetti, C. Fontanari","doi":"10.4171/rlm/964","DOIUrl":"https://doi.org/10.4171/rlm/964","url":null,"abstract":"We compute the integral cohomology groups of the smooth Brill-Noether varieties G d (C), parametrizing linear series of degree d and dimension exactly r on a general curve C. As an application, we determine the whole intersection cohomology of the singular Brill-Noether loci W r d (C), parametrizing complete linear series on C of degree d and dimension at least r.","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":" ","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41708032","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
Output stabilization of strongly minimum-phase multivariable nonlinear systems 强最小相位多变量非线性系统的输出镇定
IF 0.5 4区 数学
Rendiconti Lincei-Matematica e Applicazioni Pub Date : 2021-07-14 DOI: 10.4171/RLM/936
A. Isidori
{"title":"Output stabilization of strongly minimum-phase multivariable nonlinear systems","authors":"A. Isidori","doi":"10.4171/RLM/936","DOIUrl":"https://doi.org/10.4171/RLM/936","url":null,"abstract":"","PeriodicalId":54497,"journal":{"name":"Rendiconti Lincei-Matematica e Applicazioni","volume":"1 1","pages":""},"PeriodicalIF":0.5,"publicationDate":"2021-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41441407","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
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