Arithmetic level raising on triple product of Shimura curves and Gross-Schoen diagonal cycles. I: Ramified case

DOI10.2140/ant.2022.16.2289OpenAlexW3014408723MaRDI QIDQ2684551

Yanyan Li

Publication date: 16 February 2023

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.00555

zbMATH Keywords

Shimura varietiesdiagonal cycleslevel raising

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) (L)-functions of varieties over global fields; Birch-Swinnerton-Dyer conjecture (11G40)

Related Items (2)

INDIVISIBILITY OF HEEGNER CYCLES OVER SHIMURA CURVES AND SELMER GROUPS ⋮ On the Bloch-Kato conjecture for the symmetric cube

Cites Work

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• Hirzebruch-Zagier cycles and twisted triple product Selmer groups
• The central critical value of a triple product \(L\)-function
• Iwasawa's main conjecture for elliptic curves over anticyclotonic \(\mathbb Z_p\)-extensions
• Trilinear forms and the central values of triple product \(L\)-functions
• Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
• The Taylor-Wiles construction and multiplicity one
• Heegner points, \(p\)-adic \(L\)-functions, and the Cherednik-Drinfeld uniformization
• Height pairings on Shimura curves and \(p\)-adic uniformization
• Special values of anticyclotomic \(L\)-functions for modular forms
• Weight-monodromy conjecture for \(p\)-adically uniformized varieties
• On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
• The modified diagonal cycle on the triple product of a pointed curve
• On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
• Bounding cubic-triple product Selmer groups of elliptic curves
• Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin $L$-functions
• Bipartite Euler systems
• Néron Models
• WEIGHT SPECTRAL SEQUENCES AND INDEPENDENCE OF $\ell$
• Hida families and p-adic triple product L-functions
• On the anticyclotomic Iwasawa main conjecture for modular forms
• Heegner points on Mumford-Tate curves
• On the Bloch-Kato conjecture for the symmetric cube

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