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60 p, 863.0 KB On analogues of Mazur-Tate type conjectures in the Rankin-Selberg setting / Cauchi, Antonio (Universitat Politècnica de Catalunya. Departament de Matemàtiques) ; Lei, Antonio (Université Laval. Département de Mathématiques et de Statistique)
We study the Fitting ideals over the finite layers of the cyclotomic Zp-extension of Q of Selmer groups attached to the Rankin-Selberg convolution of two modular forms f and g. Inspired by the theta elements for modular forms defined by Mazur and Tate in [32], we define new theta elements for Rankin-Selberg convolutions of f and g using Loeffler-Zerbes' geometric p-adic L-functions attached to f and g. [...]
We study the Fitting ideals over the finite layers of the cyclotomic Zp-extension of Q of Selmer groups attached to the Rankin-Selberg convolution of two modular forms f and g. Inspired by the theta elements for modular forms defined by Mazur and Tate in [32], we define new theta elements for Rankin-Selberg convolutions of f and g using Loeffler-Zerbes' geometric p-adic L-functions attached to f and g. [...]

2022 - 10.5565/PUBLMAT6622204
Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 571-630 (Articles)  

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