Heegner cycles and higher weight specializations of big Heegner points

Francesc Castella

Type: Article

Publication Date: 2012-12-06

Citations: 24

DOI: https://doi.org/10.1007/s00208-012-0871-4

View Publication

Locations

Mathematische Annalen - View

Similar Works

Action	Title	Year	Authors
+	Algebraic cycles and Stark-Heegner points	2011	Henri Darmon Víctor Rotger
+	Heegner points, cycles and Maass forms	1993	Svetlana Katok Peter Sarnak
+	Mazur’s conjecture on higher Heegner points	2002	Christophe Cornut
+ PDF Chat	Heegner points on 𝑋₀(𝑁)	2003	Henri Darmon
+	Intersections of higher weight cycles and modular forms	1993	Basil Gordon
+ PDF Chat	Heegner points on Mumford-Tate curves	1996	Massimo Bertolini Henri Darmon
+	Heegner points, stark-Heegner points, and diagonal classes	2022	Massimo Bertolini Henri Darmon Víctor Rotger M. Seveso Rodolfo Venerucci
+	Heights of Generalized Heegner Cycles.	2015	Ariel Shnidman
+	Selmer groups and Heegner points in anticyclotomic $\mathbb {Z}_p$-extensions	1995	Massimo Bertolini
+ PDF Chat	The Birch-Swinnerton-Dyer conjecture and Heegner points: A survey	2013	Wei Zhang
+	Gross–Schoen cycles and dualising sheaves	2009	Shou-Wu Zhang
+ PDF Chat	Unipotent nearby cycles and nearby cycles over general bases	2024	Andrew Salmon
+	Heights of Heegner cycles and derivatives of L-series	1997	Shou-Wu Zhang
+	Notes on the Hochschild homology dimension and truncated cycles	2014	Tomohiro Itagaki Katsunori Sanada
+	$ \theta $-congruent numbers and Heegner points	2001	Takeshi Hibino Makiko Kan
+	On the local divisibility of Heegner points	2011	Benedict H. Gross James Parson
+	Indecomposable Higher Chow Cycles	2000	Basil Gordon James D. Lewis
+	Heegner points and Beilinson–Kato elements: A conjecture of Perrin-Riou	2022	Massimo Bertolini Henri Darmon Rodolfo Venerucci
+	Higher Order Gonalities of Graphs	2022	Lucas Tolley
+ PDF Chat	Ribet bimodules and the specialization of Heegner points	2011	Santiago Molina

Works That Cite This (24)

Action	Title	Year	Authors
+ PDF Chat	$p$-adic heights of generalized Heegner cycles	2016	Ariel Shnidman
+	P-adic L-functions and Euler systems: A tale in two trilogies	2014	Massimo Bertolini Francesc Castella Henri Darmon Samit Dasgupta Kartik Prasanna Víctor Rotger
+	$p$-adic heights of generalized Heegner cycles	2014	Ariel Shnidman
+ PDF Chat	ON THE EXCEPTIONAL SPECIALIZATIONS OF BIG HEEGNER POINTS	2016	Francesc Castella
+ PDF Chat	A BSD formula for high-weight modular forms	2021	Henry Robert Thackeray
+ PDF Chat	The universal p-adic Gross–Zagier formula	2022	Daniel Disegni
+ PDF Chat	The 𝑝-adic variation of the Gross–Kohnen–Zagier theorem	2019	Matteo Longo Marc-Hubert Nicole
+ PDF Chat	ON THE NON-TRIVIALITY OF THE -ADIC ABEL–JACOBI IMAGE OF GENERALISED HEEGNER CYCLES MODULO , II: SHIMURA CURVES	2015	Ashay Burungale
+ PDF Chat	ON THE -ADIC VARIATION OF HEEGNER POINTS	2019	Francesc Castella
+ PDF Chat	Generalized Heegner cycles and p-adic Rankin L-series	2013	Massimo Bertolini Henri Darmon Kartik Prasanna

Works Cited by This (28)

Action	Title	Year	Authors
+ PDF Chat	Arithmetic of p-adic Modular Forms	1988	Fernando Q. Gouvêa
+ PDF Chat	Iwasawa modules attached to congruences of cusp forms	1986	Haruzo Hida
+	A p-Adic Inner Product on Elliptic Modular Forms	1994	Robert F. Coleman
+	On $p$-adic analytic families of Galois representations	1986	Barry Mazur Andrew Wiles
+	On ordinary ?-adic representations associated to modular forms	1988	Andrew Wiles
+	Heights of Heegner cycles and derivatives of L-series	1997	Shou-Wu Zhang
+	A tameness criterion for Galois representations associated to modular forms (mod p)	1990	Benedict H. Gross
+	A generalization of the Coleman map for Hida deformations	2003	Tadashi Ochiai
+	P-adic Banach spaces and families of modular forms	1997	Robert F. Coleman
+	p-adic étale cohomology and crystalline cohomology in the semi-stable reduction case	1999	Takeshi Tsuji