THE ANTICYCLOTOMIC MAIN CONJECTURE FOR ELLIPTIC CURVES AT SUPERSINGULAR PRIMES

DOI10.1017/S1474748008000042zbMath1146.11057OpenAlexW2060679181WikidataQ123117939 ScholiaQ123117939MaRDI QIDQ5458189

Henri Darmon, Adrian Iovita

Publication date: 11 April 2008

Published in: Journal of the Institute of Mathematics of Jussieu (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s1474748008000042

zbMATH Keywords

elliptic curvesIwasawa theoryEuler system\(p\)-adic \(L\)-functionssupersingular reductionmain cnjectureSelmber group

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Iwasawa theory (11R23)

Related Items (13)

Plus and minus logarithms and Amice transform ⋮ Anticyclotomic Iwasawa theory of abelian varieties of \(\mathrm{GL}_2\)-type at non-ordinary primes ⋮ On the control theorem for fine Selmer groups and the growth of fine Tate-Shafarevich groups in \(\mathbb{Z}_p\)-extensions ⋮ On the Bloch-Kato conjecture for Hilbert modular forms ⋮ Anticyclotomic \(p\)-adic \(L\)-functions for elliptic curves at some additive reduction primes ⋮ Erratum: On the quaternionic p-adic L-functions associated to Hilbert modular eigenforms ⋮ Anticyclotomic \(p\)-ordinary Iwasawa theory of elliptic modular forms ⋮ On anticyclotomic μ-invariants of modular forms ⋮ On the vanishing of Selmer groups for elliptic curves over ring class fields ⋮ Plus/minus Heegner points and Iwasawa theory of elliptic curves at supersingular primes ⋮ On the anticyclotomic Iwasawa theory of CM forms at supersingular primes ⋮ Bounding the Iwasawa invariants of Selmer groups ⋮ \(\Lambda\)-submodules of finite index of anticyclotomic plus and minus Selmer groups of elliptic curves

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