Hirzebruch-Zagier cycles and twisted triple product Selmer groups
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Publication:328875
DOI10.1007/s00222-016-0645-9zbMath1395.11091arXiv1511.08176OpenAlexW2176392513MaRDI QIDQ328875
Publication date: 21 October 2016
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1511.08176
Elliptic curves over global fields (11G05) Modular and Shimura varieties (14G35) Galois cohomology (11R34)
Related Items (8)
EULER SYSTEMS FOR HILBERT MODULAR SURFACES ⋮ Arithmetic and geometric Langlands program ⋮ Arithmetic level raising on triple product of Shimura curves and Gross-Schoen diagonal cycles. I: Ramified case ⋮ Plectic Stark-Heegner points ⋮ Supersingular locus of Hilbert modular varieties, arithmetic level raising and Selmer groups ⋮ TWISTED TRIPLE PRODUCT -ADIC L-FUNCTIONS AND HIRZEBRUCH–ZAGIER CYCLES ⋮ Tate cycles on some quaternionic Shimura varieties mod \(p\) ⋮ On the Beilinson-Bloch-Kato conjecture for Rankin-Selberg motives
Cites Work
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- On arithmetic fundamental lemmas
- Decomposition of Eisenstein series: Rankin triple products
- A finiteness theorem for zero-cycles over \(p\)-adic fields
- On the intersection of modular correspondences
- Iwasawa's main conjecture for elliptic curves over anticyclotonic \(\mathbb Z_p\)-extensions
- Hida families and rational points on elliptic curves
- Trilinear forms and the central values of triple product \(L\)-functions
- Heegner points and derivatives of \(L\)-series
- Continuous étale cohomology
- Arithmétique des algèbres de quaternions
- La conjecture de Weil. II
- Über die lokale Zetafunktion von Shimuravarietaeten. Monodromiefiltration und verschwindende Zyklen in ungleicher Charakteristik
- Mixed motives and algebraic K-theory. (Almost unchanged version of the author's habilitation at Univ. Regensburg 1988)
- Relations between \(K_2\) and Galois cohomology
- On the non ordinary locus in Hilbert-Blumenthal surfaces
- Cohomology of crystalline representations
- Smoothness, semi-stability and alterations
- On modular representations of \(\text{Gal}(\overline{\mathbb Q}/\mathbb Q)\) arising from modular forms
- Potential good reduction of elliptic curves.
- The modified diagonal cycle on the triple product of a pointed curve
- Modular elliptic curves and Fermat's Last Theorem
- Ring-theoretic properties of certain Hecke algebras
- Selmer groups and the indivisibility of Heegner points
- A converse to a theorem of Gross, Zagier, and Kolyvagin
- Tate cycles on some quaternionic Shimura varieties mod \(p\)
- On maps between modular Jacobians and Jacobians of Shimura curves
- Elliptic curves over real quadratic fields are modular
- Galois properties of points of finite order of elliptic curves
- Séminaire de Géométrie Algébrique Du Bois-Marie 1967--1969. Groupes de monodromie en géométrie algébrique (SGA 7 I). Dirigé par A. Grothendieck avec la collaboration de M. Raynaud et D. S. Rim. Exposés I, II, VI, VII, VIII, IX
- Nonvanishing theorems for L-functions of modular forms and their derivatives
- On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
- Lectures on Hilbert Modular Varieties and Modular Forms
- On the local divisibility of Heegner points
- Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula
- Diagonal cycles and Euler systems II: The Birch and Swinnerton-Dyer conjecture for Hasse-Weil-Artin $L$-functions
- On Goren–Oort stratification for quaternionic Shimura varieties
- On anticyclotomic μ-invariants of modular forms
- Cohomologie d'intersection et fonctions $L$ de certaines variétés de Shimura
- On the motive of an algebraic surface.
- Néron Models
- On the Decomposition of a Representation of SOn When Restricted to SOn-1
- On twists of cuspidal representations of GL(2)
- Symplectic local root numbers, central critical L-values, and restriction problems in the representation theory of classical groups
- Invariant Forms for Representations of GL 2 Over a Local Field
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