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math.NT2016★ 10 cited
Iwasawa Main Conjecture for Non-Ordinary Modular Forms
Xin Wan
Let be a prime. Under mild assumptions, we prove the Iwasawa main conjecture of Kato, for modular forms with general weight and conductor prime to .
math.NT2016
Perrin-Riou's main conjecture for elliptic curves at supersingular primes
Francesc Castella, Xin Wan
In 1987, B. Perrin-Riou formulated a Heegner point main conjecture for elliptic curves at primes of ordinary reduction. In this paper, we formulate an analogue of Perrin-Riou's mai…