Büyükboduk, Kâzım; Ochiai, Tadashi Main conjectures for higher rank nearly ordinary families. I. (English) Zbl 07722264 J. Number Theory 252, 1-73 (2023). MSC: 11R23 11F11 11R20 PDFBibTeX XMLCite \textit{K. Büyükboduk} and \textit{T. Ochiai}, J. Number Theory 252, 1--73 (2023; Zbl 07722264) Full Text: DOI arXiv
Burungale, Ashay A. A \(p\)-adic Waldspurger formula and the conjecture of Birch and Swinnerton-Dyer. (English) Zbl 07813080 J. Indian Inst. Sci. 102, No. 3, 885-894 (2022). MSC: 11R23 11G40 11G05 14G10 11G18 PDFBibTeX XMLCite \textit{A. A. Burungale}, J. Indian Inst. Sci. 102, No. 3, 885--894 (2022; Zbl 07813080) Full Text: DOI
Castella, Francesc; Liu, Zheng; Wan, Xin Iwasawa-Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on \(\mathrm{GU}(3, 1)\). (English) Zbl 1504.11118 Forum Math. Sigma 10, Paper No. e110, 90 p. (2022). MSC: 11R23 11F33 11F67 PDFBibTeX XMLCite \textit{F. Castella} et al., Forum Math. Sigma 10, Paper No. e110, 90 p. (2022; Zbl 1504.11118) Full Text: DOI arXiv
Büyükboduk, Kâzim; Lei, Antonio Iwasawa theory for \(\mathrm{GL}_2\times \mathrm{Res}_{K/\mathbb{Q}}\mathrm{GL}_1\). (English. French summary) Zbl 1522.11113 Ann. Math. Qué. 46, No. 2, 347-418 (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11F11 11R20 PDFBibTeX XMLCite \textit{K. Büyükboduk} and \textit{A. Lei}, Ann. Math. Qué. 46, No. 2, 347--418 (2022; Zbl 1522.11113) Full Text: DOI arXiv
Castella, Francesc; Hsieh, Ming-Lun On the nonvanishing of generalised Kato classes for elliptic curves of rank 2. (English) Zbl 1496.11078 Forum Math. Sigma 10, Paper No. e12, 32 p. (2022). Reviewer: Andrej Dujella (Zagreb) MSC: 11G05 11G40 PDFBibTeX XMLCite \textit{F. Castella} and \textit{M.-L. Hsieh}, Forum Math. Sigma 10, Paper No. e12, 32 p. (2022; Zbl 1496.11078) Full Text: DOI arXiv
Castella, Francesc; Wan, Xin The Iwasawa main conjectures for \(\operatorname{GL}_2\) and derivatives of \(p\)-adic \(L\)-functions. (English) Zbl 1495.11123 Adv. Math. 400, Article ID 108266, 45 p. (2022). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11R23 11G05 11G40 PDFBibTeX XMLCite \textit{F. Castella} and \textit{X. Wan}, Adv. Math. 400, Article ID 108266, 45 p. (2022; Zbl 1495.11123) Full Text: DOI
Thackeray, Henry (Maya) Robert A BSD formula for high-weight modular forms. (English) Zbl 1486.11089 J. Number Theory 234, 404-447 (2022). Reviewer: Remke Kloosterman (Padova) MSC: 11G40 11F23 11F80 11F85 11R23 PDFBibTeX XMLCite \textit{H. R. Thackeray}, J. Number Theory 234, 404--447 (2022; Zbl 1486.11089) Full Text: DOI
Burungale, Ashay A.; Skinner, Christopher; Tian, Ye The Birch and Swinnerton-Dyer conjecture: a brief survey. (English) Zbl 1509.11058 Kechris, A. (ed.) et al., Nine mathematical challenges. An elucidation. Proceedings of the Linde Hall inaugural math symposium, California Institute of Technology, Pasadena, CA, USA, February 22–24, 2019. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 104, 11-29 (2021). MSC: 11G40 11G05 11R23 PDFBibTeX XMLCite \textit{A. A. Burungale} et al., Proc. Symp. Pure Math. 104, 11--29 (2021; Zbl 1509.11058) Full Text: DOI
Burungale, Ashay; Castella, Francesc; Kim, Chan-Ho A proof of Perrin-Riou’s Heegner point main conjecture. (English) Zbl 1496.11133 Algebra Number Theory 15, No. 7, 1627-1653 (2021). Reviewer: Lawrence C. Washington (College Park) MSC: 11R23 11F33 PDFBibTeX XMLCite \textit{A. Burungale} et al., Algebra Number Theory 15, No. 7, 1627--1653 (2021; Zbl 1496.11133) Full Text: DOI arXiv Link
Barrera, Daniel; Gao, Shan Overconvergent Eichler-Shimura isomorphisms for unitary Shimura curves over totally real fields. (English) Zbl 1475.11081 Isr. J. Math. 242, No. 2, 707-767 (2021). Reviewer: Riccardo Brasca (Paris) MSC: 11F33 11F85 11G18 14F30 PDFBibTeX XMLCite \textit{D. Barrera} and \textit{S. Gao}, Isr. J. Math. 242, No. 2, 707--767 (2021; Zbl 1475.11081) Full Text: DOI
Liu, Zheng Ordinary families of Klingen Eisenstein series on symplectic groups. (English) Zbl 1470.11094 Trans. Am. Math. Soc. 374, No. 5, 3331-3395 (2021). MSC: 11F33 11F30 11F46 11G18 PDFBibTeX XMLCite \textit{Z. Liu}, Trans. Am. Math. Soc. 374, No. 5, 3331--3395 (2021; Zbl 1470.11094) Full Text: DOI
Wan, Xin Heegner point Kolyvagin system and Iwasawa main conjecture. (English) Zbl 1464.11116 Acta Math. Sin., Engl. Ser. 37, No. 1, 104-120 (2021). MSC: 11R23 PDFBibTeX XMLCite \textit{X. Wan}, Acta Math. Sin., Engl. Ser. 37, No. 1, 104--120 (2021; Zbl 1464.11116) Full Text: DOI arXiv
Collins, Dan J. Anticyclotomic \(p\)-adic \(L\)-functions and Ichino’s formula. (English. French summary) Zbl 1481.11055 Ann. Math. Qué. 44, No. 1, 27-89 (2020). Reviewer: Bin Xu (Chengdu) MSC: 11F67 PDFBibTeX XMLCite \textit{D. J. Collins}, Ann. Math. Qué. 44, No. 1, 27--89 (2020; Zbl 1481.11055) Full Text: DOI arXiv
Burungale, Ashay A.; Tian, Ye \(p\)-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin. (English) Zbl 1452.11068 Invent. Math. 220, No. 1, 211-253 (2020). Reviewer: Matteo Longo (Padova) MSC: 11G05 11G15 11G18 11G40 PDFBibTeX XMLCite \textit{A. A. Burungale} and \textit{Y. Tian}, Invent. Math. 220, No. 1, 211--253 (2020; Zbl 1452.11068) Full Text: DOI