{"title":"Topics in group schemes and surfaces in positive characteristic","authors":"Nikolaos Tziolas","doi":"10.1007/s11565-024-00514-8","DOIUrl":"10.1007/s11565-024-00514-8","url":null,"abstract":"<div><p>This paper is based on a series of talks that the author gave at the University of Edinburgh in March 2023 on surfaces in positive characteristic. In particular, infinitesimal group schemes and their actions on algebraic surfaces are discussed, the structure of the automorphism group scheme of a surface of general type and the failure of the Kodaira vanishing theorem.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"891 - 954"},"PeriodicalIF":0.0,"publicationDate":"2024-05-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00514-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412053","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Abdelghani El Gargati, Imane Berkak, El Mehdi Loualid
{"title":"Boas-type theorems for the free metaplectic transform","authors":"Abdelghani El Gargati, Imane Berkak, El Mehdi Loualid","doi":"10.1007/s11565-024-00522-8","DOIUrl":"10.1007/s11565-024-00522-8","url":null,"abstract":"<div><p>In this study, we focus on the free metaplectic transform and its implications on the properties of functions. The free metaplectic transform is a generalization of the Fourier transform that allows us to analyze the behavior of functions in the metaplectic domain. F. Moricz previously investigated the properties of functions <span>(fin L^1({mathbb {R}}))</span> whose Fourier transforms <span>(widehat{f})</span> belong to <span>(L^1({mathbb {R}}))</span>. He established certain sufficient conditions based on <span>(widehat{f})</span> to determine whether <i>f</i> belongs to the Lipschitz classes <span>({text {Lip}}(gamma ))</span> and <span>({text {lip}}(gamma ))</span>, where <span>(0 < gamma le 1)</span>, or the Zygmund classes <span>({text {Zyg}}(gamma ))</span> and <span>({text {zyg}}(gamma ))</span>, where <span>(0 < gamma le 2)</span>. In this study, our aim is to extend these findings and explore the properties of functions in relation to the free metaplectic transform.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1491 - 1507"},"PeriodicalIF":0.0,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140972878","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On maximizing curves of degree 7","authors":"Izabela Czarnota","doi":"10.1007/s11565-024-00523-7","DOIUrl":"10.1007/s11565-024-00523-7","url":null,"abstract":"<div><p>In the present paper we investigate an intriguing question on the existence of maximizing curves of degree 7 with some prescribed <span>(textrm{ADE})</span> singularities. We give a result proving the non-existence of such maximizing septics and we give new examples of conic-line arrangements with some <span>(textrm{ADE})</span> singularities that are free but not maximizing.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1479 - 1489"},"PeriodicalIF":0.0,"publicationDate":"2024-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00523-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411606","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Approximation by semi-exponential Post-Widder operators","authors":"Brijesh Kumar Grewal, Meenu Rani","doi":"10.1007/s11565-024-00517-5","DOIUrl":"10.1007/s11565-024-00517-5","url":null,"abstract":"<div><p>This research article focuses on the approximation properties of semi-exponential Post-Widder operators associated with a quadratic polynomial. We obtain the rate of convergence of these operators for continuous and bounded functions in terms of the modulus of continuity. We prove Voronovskaya-type approximation theorems in polynomial weighted spaces. Furthermore, some direct estimates are also obtained for Lipschitz-type function space.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1465 - 1477"},"PeriodicalIF":0.0,"publicationDate":"2024-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140999021","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"K-stability of Fano 3-folds of Picard rank 3 and degree 20","authors":"Elena Denisova","doi":"10.1007/s11565-024-00516-6","DOIUrl":"10.1007/s11565-024-00516-6","url":null,"abstract":"<div><p>We prove <i>K</i>-stability of smooth Fano 3-folds of Picard rank 3 and degree 20 that satisfy very explicit generality condition.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"987 - 1022"},"PeriodicalIF":0.0,"publicationDate":"2024-04-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00516-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Effect of the zeros of initial term non-gap polynomials of higher index on the uniqueness of meromorphic functions","authors":"Abhijit Banerjee, Jhilik Banerjee","doi":"10.1007/s11565-024-00513-9","DOIUrl":"10.1007/s11565-024-00513-9","url":null,"abstract":"<div><p>In this article, we have first introduced the definition of index of initial term non-gap polynomials (ITNGP). Next, we extend the well known definition of weighted sharing of sets in a more comprehensive manner to establish the definition of weighted sharing of sets in the wider sense. As we have observed that the previous researchers were confined their investigations up to index 3 of ITNGP, we feel that it is reasonable mostly to explore the contribution of ITNGP of index <span>(ge 4)</span> in the literature. Thus in this paper we focus to establish the uniqueness of meromorphic functions under the periphery of extended structures of weighted range sets solely from <span>({mathbb {C}})</span>. Consequently, we present four theorems which are totally new of its genre.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1445 - 1464"},"PeriodicalIF":0.0,"publicationDate":"2024-04-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413086","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"New oscillation criteria of nonlinear second order delay dynamic equations with sublinear neutral term","authors":"Said R. Grace, Syed Abbas","doi":"10.1007/s11565-024-00512-w","DOIUrl":"10.1007/s11565-024-00512-w","url":null,"abstract":"<div><p>In this paper, we discuss the oscillation of the nonlinear second-order delay dynamic equation with a sublinear neutral term and establish some new criteria. Further, we show application to second order neutral dynamic equations. The presented results essentially extend and improve the existing ones. Examples are provided for better illustration.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1433 - 1443"},"PeriodicalIF":0.0,"publicationDate":"2024-04-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140681323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Annihilator on prime rings admitting multiplicative generalized g-derivations","authors":"Kapil Kumar, Avdhesh Kumar Mishra","doi":"10.1007/s11565-024-00510-y","DOIUrl":"10.1007/s11565-024-00510-y","url":null,"abstract":"<div><p>Suppose <span>(Re )</span> is a ring and <span>(g:Re rightarrow Q_{r})</span> be an arbitrary map. An additive map <span>(d:Re rightarrow Q_{r})</span> is said to be <i>g</i>-derivation if <span>(d(xy) = d(x)y+g(x)d(y))</span> holds <span>(~ text{ for } text{ all }~ x,yin Re .)</span> An additive map <span>(G:Re rightarrow Q_{r})</span> is said to be generalized <i>g</i>-derivation if <span>(G(xy) = G(x)y+g(x)d(y))</span> holds <span>(~ text{ for } text{ all }~ x,yin Re .)</span> For any subset <i>S</i> of <span>(Re )</span>, <span>(Ssubseteq Re )</span>. The left annihilator of <i>S</i> in <span>(Re )</span> is denoted by <span>(l_{Re }(S))</span> and defined by <span>(l_{Re }(S) = {xin Re mid xS = 0}.)</span> In the present paper, we study the left annihilator identities on prime rings admitting multiplicative generalized <i>g</i>-derivations.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1405 - 1416"},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140728869","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Infinite system of nonlinear fractional integral equations in two variables via measure of noncompactness in Banach algebra (C(Itimes I,E))","authors":"Asif Hussain Jan, Tanweer Jalal","doi":"10.1007/s11565-024-00511-x","DOIUrl":"10.1007/s11565-024-00511-x","url":null,"abstract":"<div><p>The aim of this research is to investigate solvability of an infinite system of nonlinear fractional integral equations in two variables using the measure of noncompactness in Banach algebra <span>(C(Itimes I,E))</span>. Our result is illustrated with an example.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1417 - 1431"},"PeriodicalIF":0.0,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140730796","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}