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• W1543486791 abstract "We construct motivic cohomology classes attached to Rankin--Selberg convolutions of modular forms of weights $ge 2$, show that these vary analytically in p-adic families, and relate their image under the p-adic regulator map to values of L-functions. As consequences, we prove new cases of Perrin-Riou's conjecture on motivic L-values; we prove finiteness results for Tate--Shafarevich groups for twists of elliptic curves by dihedral Artin characters; and we prove one inclusion in the Iwasawa main conjecture for a single modular form over an imaginary quadratic field." @default.
• W1543486791 created "2016-06-24" @default.
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• W1543486791 date "2014-05-13" @default.
• W1543486791 modified "2023-09-27" @default.
• W1543486791 title "Rankin-Selberg Euler systems and p-adic interpolation" @default.
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