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Big Heegner points and generalized Heegner cycles

Abstract For big Galois representations attached to Hida families of elliptic cuspforms, Howard constructed the systems of big Heegner points. On the other hand, for Galois representations attached to cuspforms,… Click to show full abstract

Abstract For big Galois representations attached to Hida families of elliptic cuspforms, Howard constructed the systems of big Heegner points. On the other hand, for Galois representations attached to cuspforms, there are Euler systems of generalized Heegner cycles, which are constructed by Bertolini-Darmon-Prasanna. Castella recently proved that the systems of big Heegner points interpolate the systems of generalized Heegner cycles. In this paper, by a different approach we slightly improve his work.

Keywords: heegner cycles; points generalized; generalized heegner; big heegner; heegner; heegner points

Journal Title: Journal of Number Theory
Year Published: 2020

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