A higher Gross-Zagier formula and the structure of Selmer groups (Q6567176)

scientific article; zbMATH DE number 7876059

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English	A higher Gross-Zagier formula and the structure of Selmer groups	scientific article; zbMATH DE number 7876059

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instance of

scholarly article

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title

A higher Gross-Zagier formula and the structure of Selmer groups (English)

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author

Chan-Ho Kim

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published in

Transactions of the American Mathematical Society

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publication date

4 July 2024

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zbMATH Keywords

refined Iwasawa theory

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Kato's Kolyvagin systems

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Kurihara numbers

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modular symbols

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Heegner point Kolyvagin systems

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bipartite Euler systems

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MaRDI profile type

Publication

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cites work

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Heegner points and Beilinson-Kato elements: a conjecture of Perrin-Riou

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Nonvanishing theorems for L-functions of modular forms and their derivatives

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$p$-converse to a theorem of Gross-Zagier, Kolyvagin and Rubin

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Tamagawa defect of Euler systems

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Special values of anticyclotomic $L$-functions for modular forms

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Mazur's conjecture on higher Heegner points.

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The Heegner point Kolyvagin system

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Rational isogenies of prime degree. (With an appendix by D. Goldfeld)

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Mean values of derivatives of modular $L$-series

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Heegner point Kolyvagin system and Iwasawa main conjecture

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Selmer groups and the indivisibility of Heegner points

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Identifiers

Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6567176