Iwasawa Main Conjecture for Non-Ordinary Modular Forms

Abstract

Let $p>2$ be a prime. Under mild assumptions, we prove the Iwasawa main conjecture of Kato, for modular forms with general weight and conductor prime to $p$.

The paper is incorporated as part of the newly uploaded preprint arXiv:2107.13726. Several readers required us to withdraw the previous one to avoid confusion

References in corpus (7)

• Integral p-adic Hodge theory
• On the non-triviality of the $p$-adic Abel-Jacobi image of generalised Heegner cycles modulo $p$, II: Shimura curves
• p-adic families of Galois representations and higher rank Selmer groups
• Indivisibility of Heegner points in the multiplicative case
• The Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One
• Triple product formula and mass equidistribution on modular curves of level N
• Bounds on the Tamagawa numbers of a crystalline representation over towers of cyclotomic extensions

Cited by in corpus (4)

• On fine Selmer groups and signed Selmer groups of elliptic modular forms
• On the refined conjectures on Fitting ideals of Selmer groups of elliptic curves with supersingular reduction
• Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction
• Kolyvagin's Conjecture and patched Euler systems in anticyclotomic Iwasawa theory