Heegner points in Coleman families

Abstract

We construct two-parameter analytic families of Galois cohomology classes interpolating the etale Abel--Jacobi images of generalised Heegner cycles, with both the modular form and Grossencharacter varying in p-adic families.

23 pages. Revised version, to appear in Proc. London Math. Soc

References in corpus (5)

• The universal $p$-adic Gross-Zagier formula
• Katz type p-adic L-functions for primes p non-split in the CM field
• P-adic L-functions in universal deformation families
• Interpolation of Generalized Heegner Cycles in Coleman Families
• Functoriality of motivic lifts of the canonical construction

Cited by in corpus (6)

• The universal $p$-adic Gross-Zagier formula
• Spherical varieties and norm relations in Iwasawa theory
• An Euler system for GU(2, 1)
• Eisenstein degeneration of Euler systems
• On the structure of the Bloch--Kato Selmer groups of modular forms over anticyclotomic ${\mathbf{Z}}_p$-towers
• On anticyclotomic Euler and Kolyvagin systems