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Journal De Theorie Des Nombres De Bordeaux最新文献

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Moduli Spaces of Shtukas over the Projective Line 投影线上Shtukas的模空间
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-10-24 DOI: 10.5802/jtnb.1207
María Inés de Frutos-Fernández
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引用次数: 0
Transformée de Fourier–Mukai sur les schémas formels 形式模式上的Fourier–Mukai变换
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-10-24 DOI: 10.5802/jtnb.1208
Florian Viguier
{"title":"Transformée de Fourier–Mukai sur les schémas formels","authors":"Florian Viguier","doi":"10.5802/jtnb.1208","DOIUrl":"https://doi.org/10.5802/jtnb.1208","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48701876","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
Root number of the Jacobian of y 2 =x p +a y2=xp+a的Jacobian的根数
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-10-24 DOI: 10.5802/jtnb.1217
Matthew Bisatt
{"title":"Root number of the Jacobian of y 2 =x p +a","authors":"Matthew Bisatt","doi":"10.5802/jtnb.1217","DOIUrl":"https://doi.org/10.5802/jtnb.1217","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42873025","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 pseudo-null Iwasawa modules 关于伪空Iwasawa模
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-10-24 DOI: 10.5802/jtnb.1218
Sören Kleine
{"title":"On pseudo-null Iwasawa modules","authors":"Sören Kleine","doi":"10.5802/jtnb.1218","DOIUrl":"https://doi.org/10.5802/jtnb.1218","url":null,"abstract":"Résumé. Nous étudions les sous-modules pseudo-nuls maximaux de certains modules d’Iwasawa construits à partir des groupes de classes d’idéaux dans des Z k p -extensions de corps de nombres. Nous décrivons quelques critères de la non-trivialité de ces modules, en nous concentrant sur les cas k = 1 et k = 2. De plus, nous en déduisons des applications à des formes faibles de la conjecture de Greenberg généralisée (GGC). Abstract. We study the maximal pseudo-null submodules of Iwasawa modules arising from ideal class groups in Z kp -extensions of number fields. We describe several sufficient criteria for the non-triviality of such modules, mainly in dimensions k = 1 and k = 2. This has applications to weak versions of Greenberg’s Generalised Conjecture (GGC).","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48689796","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
The Fibonacci sequence and an elliptic curve 斐波那契数列和椭圆曲线
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-10-24 DOI: 10.5802/jtnb.1210
Sungkon Chang
{"title":"The Fibonacci sequence and an elliptic curve","authors":"Sungkon Chang","doi":"10.5802/jtnb.1210","DOIUrl":"https://doi.org/10.5802/jtnb.1210","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42528944","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
Oscillations in the Goldbach conjecture 哥德巴赫猜想中的振荡
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-07-07 DOI: 10.5802/jtnb.1202
Michael J. Mossinghoff, T. Trudgian
{"title":"Oscillations in the Goldbach conjecture","authors":"Michael J. Mossinghoff, T. Trudgian","doi":"10.5802/jtnb.1202","DOIUrl":"https://doi.org/10.5802/jtnb.1202","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48573075","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
Relative class numbers of subfields of the p-th cyclotomic field 第p个分圆场子场的相对类数
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-07-07 DOI: 10.5802/jtnb.1195
T. Fukuda
{"title":"Relative class numbers of subfields of the p-th cyclotomic field","authors":"T. Fukuda","doi":"10.5802/jtnb.1195","DOIUrl":"https://doi.org/10.5802/jtnb.1195","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45926710","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 the p-torsion of the Tate–Shafarevich group of abelian varieties over higher dimensional bases over finite fields 有限域上高维基上阿贝尔变体的Tate-Shafarevich群的p-扭转
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-03-11 DOI: 10.5802/jtnb.1211
Timo Keller
{"title":"On the p-torsion of the Tate–Shafarevich group of abelian varieties over higher dimensional bases over finite fields","authors":"Timo Keller","doi":"10.5802/jtnb.1211","DOIUrl":"https://doi.org/10.5802/jtnb.1211","url":null,"abstract":"We prove a finiteness theorem for the first flat cohomology group of finite flat group schemes over integral normal proper varieties over finite fields. As a consequence, we can prove the invariance of the finiteness of the Tate-Shafarevich group of Abelian schemes over higher dimensional bases under isogenies and alterations over/of such bases for the p-part. Along the way, we generalize previous results on the Tate-Shafarevich group in this situation.","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47360413","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
Note sur les diviseurs élémentaires du régulateur d’Iwasawa iwasawa控制器的基本分频器注意事项
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-01-26 DOI: 10.5802/jtnb.1188
B. Perrin-Riou
{"title":"Note sur les diviseurs élémentaires du régulateur d’Iwasawa","authors":"B. Perrin-Riou","doi":"10.5802/jtnb.1188","DOIUrl":"https://doi.org/10.5802/jtnb.1188","url":null,"abstract":"The article revisits a result of [4] concerning the structure of the image by the Iwasawa regulator map of the Iwasawa module associated with a semi-stable p-adic representation on an unramified finite extension of Qp and gives a direct proof based on the results of [7] in the crystalline case and [8] in the semi-stable case.","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45043033","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
Controlling λ-invariants for the double and triple product p-adic L-functions 双乘积和三乘积p-adic L-函数的λ-不变量的控制
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2022-01-26 DOI: 10.5802/jtnb.1177
D. Delbourgo, H. Gilmore
{"title":"Controlling λ-invariants for the double and triple product p-adic L-functions","authors":"D. Delbourgo, H. Gilmore","doi":"10.5802/jtnb.1177","DOIUrl":"https://doi.org/10.5802/jtnb.1177","url":null,"abstract":"In the late 1990s, Vatsal showed that a congruence modulo p between two modular forms implied a congruence between their respective p-adic L-functions. We prove an analogous statement for both the double product and triple product p-adic L-functions, Lp(f ⊗ g) and Lp(f ⊗ g ⊗ h): the former is cyclotomic in its nature, while the latter is over the weight-space. As a corollary, we derive transition formulae relating analytic λ-invariants of congruent Galois representations for Vf⊗Vg, and for Vf⊗Vg⊗Vh, respectively.","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2022-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44728888","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
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