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K-stability of Fano threefolds of rank 3 and degree 14 阶 3 和阶 14 的法诺三维的 K 稳定性
Annali dell''Universita di Ferrara Pub Date : 2024-06-05 DOI: 10.1007/s11565-024-00526-4
Grigory Belousov, Konstantin Loginov
{"title":"K-stability of Fano threefolds of rank 3 and degree 14","authors":"Grigory Belousov,&nbsp;Konstantin Loginov","doi":"10.1007/s11565-024-00526-4","DOIUrl":"10.1007/s11565-024-00526-4","url":null,"abstract":"<div><p>We prove that all general smooth Fano threefolds of Picard rank 3 and degree 14 are K-stable, where the generality condition is stated explicitly.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"1093 - 1114"},"PeriodicalIF":0.0,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142410023","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}
引用次数: 0
Generalized skew derivations acting as Jordan homomorphism 充当约旦同态的广义偏斜推导
Annali dell''Universita di Ferrara Pub Date : 2024-06-03 DOI: 10.1007/s11565-024-00534-4
Pallavee Gupta, S. K. Tiwari
{"title":"Generalized skew derivations acting as Jordan homomorphism","authors":"Pallavee Gupta,&nbsp;S. K. Tiwari","doi":"10.1007/s11565-024-00534-4","DOIUrl":"10.1007/s11565-024-00534-4","url":null,"abstract":"<div><p>Suppose <span>({mathcal {R}})</span> is a prime ring with characteristic other than two and <span>(nu (s_1,ldots , s_n))</span> is a non-central multilinear polynomial over <span>({mathcal {C}})</span>, which is non-identity. If <span>({mathcal {H}}_1)</span> and <span>({mathcal {H}}_2)</span> are two generalized skew derivations on the ring <span>({mathcal {R}})</span>, satisfying the equation </p><div><div><span>$$begin{aligned} {mathcal {H}}_1({mathcal {H}}_2(nu (s)^2))={mathcal {H}}_2(nu (s))^2 end{aligned}$$</span></div></div><p>for all <span>(s = (s_1, ldots , s_n) in {mathcal {R}}^n.)</span> Then, we provide a comprehensive analysis of the mappings <span>( {mathcal {H}}_1)</span> and <span>({mathcal {H}}_2)</span> outlining their complete structure.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1635 - 1654"},"PeriodicalIF":0.0,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141268921","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}
引用次数: 0
Effective methods for plane quartics, their theta characteristics and the Scorza map 平面四元数、其 Theta 特性和 Scorza 地图的有效方法
Annali dell''Universita di Ferrara Pub Date : 2024-06-02 DOI: 10.1007/s11565-024-00528-2
Giorgio Ottaviani
{"title":"Effective methods for plane quartics, their theta characteristics and the Scorza map","authors":"Giorgio Ottaviani","doi":"10.1007/s11565-024-00528-2","DOIUrl":"10.1007/s11565-024-00528-2","url":null,"abstract":"<div><p>This is a revised version of the lecture notes prepared for the workshop on “Plane quartics, Scorza map and related topics”, held in Catania, January 19–21, 2016. The last section contains eight Macaulay2 scripts on theta characteristics and the Scorza map, with a tutorial. The first sections give an introduction to these scripts. The tutorial contains a list of the 36 Scorza preimages of the Edge quartic.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"1115 - 1153"},"PeriodicalIF":0.0,"publicationDate":"2024-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00528-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409433","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}
引用次数: 0
Automorphisms of Fano threefolds of rank 2 and degree 28 阶数为 2 和阶数为 28 的法诺三维的自动形变
Annali dell''Universita di Ferrara Pub Date : 2024-06-01 DOI: 10.1007/s11565-024-00525-5
Joseph Malbon
{"title":"Automorphisms of Fano threefolds of rank 2 and degree 28","authors":"Joseph Malbon","doi":"10.1007/s11565-024-00525-5","DOIUrl":"10.1007/s11565-024-00525-5","url":null,"abstract":"<div><p>We describe the automorphism groups of smooth Fano threefolds of rank 2 and degree 28 in the cases where they are finite.\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"1083 - 1092"},"PeriodicalIF":0.0,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00525-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409259","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}
引用次数: 0
On the graph (G_P(R)) over commutative ring R 在交换环 R 上的图(G_P(R))上
Annali dell''Universita di Ferrara Pub Date : 2024-05-30 DOI: 10.1007/s11565-024-00533-5
B. Biswas, S. Kar
{"title":"On the graph (G_P(R)) over commutative ring R","authors":"B. Biswas,&nbsp;S. Kar","doi":"10.1007/s11565-024-00533-5","DOIUrl":"10.1007/s11565-024-00533-5","url":null,"abstract":"<div><p>Let <i>R</i> be a commutative ring with identity 1. Then the graph of <i>R</i>, denoted by <span>(G_P(R))</span> which is defined as the vertices are the elements of <i>R</i> and any two distinct elements <i>a</i> and <i>b</i> are adjacent if and only if the corresponding principal ideals <i>aR</i> and <i>bR</i> satisfy the condition: <span>((aR)(bR)=aRbigcap bR)</span>. In this paper, we characterize the class of finite commutative rings with 1 for which the graph <span>(G_P(R))</span> is complete. Here we are able to show that the graph <span>(G_P(R))</span> is a line graph of some graph <i>G</i> if and only if <span>(G_P(R))</span> is complete. For <span>(n=p_1^{r_1}p_2^{r_2}ldots p_{k}^{r_k})</span>, we show that chromatic number of <span>(G_P(mathbb {Z}_n))</span> is equal to the sum of the number of regular elements in <span>(mathbb {Z}_n)</span> and the number of integers <i>i</i> such that <span>({r_{i}}&gt;1)</span>. Moreover, we characterize those <i>n</i> for which the graph <span>(G_P(mathbb {Z}_n))</span> is end-regular.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1621 - 1633"},"PeriodicalIF":0.0,"publicationDate":"2024-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142415052","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}
引用次数: 0
Factors of HOMFLY polynomials HOMFLY 多项式的因数
Annali dell''Universita di Ferrara Pub Date : 2024-05-29 DOI: 10.1007/s11565-024-00530-8
Douglas Blackwell, Damiano Testa
{"title":"Factors of HOMFLY polynomials","authors":"Douglas Blackwell,&nbsp;Damiano Testa","doi":"10.1007/s11565-024-00530-8","DOIUrl":"10.1007/s11565-024-00530-8","url":null,"abstract":"<div><p>We study factorizations of HOMFLY polynomials of certain prime knots and oriented links. We begin with a computer analysis of prime knots with at most 12 crossings, finding 17 non-trivial factorizations. Next, we give an irreducibility criterion for HOMFLY polynomials of oriented links associated to 2-connected plane graphs.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"1155 - 1163"},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00530-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409161","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}
引用次数: 0
Stress intensity factor: new and improved estimates 应力强度因子：新的和改进的估算值
Annali dell''Universita di Ferrara Pub Date : 2024-05-29 DOI: 10.1007/s11565-024-00531-7
Oscar Ascenzi
{"title":"Stress intensity factor: new and improved estimates","authors":"Oscar Ascenzi","doi":"10.1007/s11565-024-00531-7","DOIUrl":"10.1007/s11565-024-00531-7","url":null,"abstract":"<div><p>In this paper we give new estimates from above and from below of the Stress Intensity Factor on an open bounded and convex domain <span>(Omega subseteq mathbb {R}^2)</span>. This analysis is a continuation of the study that we have done in Ascenzi et al. (Appl Math Comput 158:597–617, 2004), Ascenzi (Ann Univ Ferrara Sez VII (NS) 47:41–56, 2001) and Livieri et al. (Acta Mech 176:95–105, 2005) and that started from the paper of Oore and Burns (J Press Vessel Technol 102:204–211, 1980).\u0000</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1609 - 1620"},"PeriodicalIF":0.0,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00531-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414933","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}
引用次数: 0
Reading the log canonical threshold of a plane curve singularity from its Newton polyhedron 从牛顿多面体读取平面曲线奇点的对数规范阈值
Annali dell''Universita di Ferrara Pub Date : 2024-05-28 DOI: 10.1007/s11565-024-00524-6
Erik Paemurru
{"title":"Reading the log canonical threshold of a plane curve singularity from its Newton polyhedron","authors":"Erik Paemurru","doi":"10.1007/s11565-024-00524-6","DOIUrl":"10.1007/s11565-024-00524-6","url":null,"abstract":"<div><p>There is a proposition due to Kollár as reported by Kollár (Proceedings of the summer research institute, Santa Cruz, CA, USA, July 9–29, 1995, American Mathematical Society, Providence, 1997) on computing log canonical thresholds of certain hypersurface germs using weighted blowups, which we extend to weighted blowups with non-negative weights. Using this, we show that the log canonical threshold of a convergent complex power series is at most 1/<i>c</i>, where <span>((c, ldots , c))</span> is a point on a facet of its Newton polyhedron. Moreover, in the case <span>(n = 2)</span>, if the power series is weakly normalised with respect to this facet or the point (<i>c</i>, <i>c</i>) belongs to two facets, then we have equality. This generalises a theorem of Varchenko 1982 to non-isolated singularities.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"1069 - 1082"},"PeriodicalIF":0.0,"publicationDate":"2024-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s11565-024-00524-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414714","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}
引用次数: 0
Rate of convergence of Szász-Durrmeyer type operators involving Hermite polynomials 涉及赫米特多项式的 Szász-Durrmeyer 型算子的收敛率
Annali dell''Universita di Ferrara Pub Date : 2024-05-27 DOI: 10.1007/s11565-024-00527-3
Ajay Kumar
{"title":"Rate of convergence of Szász-Durrmeyer type operators involving Hermite polynomials","authors":"Ajay Kumar","doi":"10.1007/s11565-024-00527-3","DOIUrl":"10.1007/s11565-024-00527-3","url":null,"abstract":"<div><p>This study aims to investigate a generalized version of Szász operators linked with Hermite polynomials in the Durrmeyer framework. Initially, we delve into their approximation properties employing Peetre’s K-functional, along with classical and second-order modulus of continuity. Subsequently, we evaluate the convergence speed using a Lipschitz-type function and establish a Voronovskaya-type approximation theorem. Lastly, we investigate the convergence rate for differentiable functions with bounded variation derivatives.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1527 - 1543"},"PeriodicalIF":0.0,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414390","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}
引用次数: 0
A class of semilinear hypoelliptic Robin problems and Morse theory 一类半线性次椭圆罗宾问题和莫尔斯理论
Annali dell''Universita di Ferrara Pub Date : 2024-05-27 DOI: 10.1007/s11565-024-00529-1
Kazuaki Taira
{"title":"A class of semilinear hypoelliptic Robin problems and Morse theory","authors":"Kazuaki Taira","doi":"10.1007/s11565-024-00529-1","DOIUrl":"10.1007/s11565-024-00529-1","url":null,"abstract":"<div><p>(1) Background: This paper is devoted to the study of a class of semilinear elliptic boundary value problems with hypoelliptic (degenerate) Robin condition that includes as particular cases the Dirichlet, Neumann and regular Robin problems. (2) Methods: We give a rigorous proof of main theorem, which is based heavily on the theory of linear elliptic boundary value problems in the framework of <span>(L^{p})</span> Sobolev spaces. (3) Results: We extend earlier theorems due to Ambrosetti–Lupo and Struwe to the hypoelliptic Robin case via Morse theory. (4) Conclusions: The main purpose of this paper is to understand the essence of a modern version of the classical Lyapunov–Schmidt procedure through a concrete approach to semilinear hypoelliptic Robin problems.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 4","pages":"1545 - 1605"},"PeriodicalIF":0.0,"publicationDate":"2024-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414391","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}
引用次数: 0
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