Residual supersingular Iwasawa theory and signed Iwasawa invariants
Rendiconti del Seminario Matematico della Università di Padova, Tome 149 (2023), pp. 83-129.
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For an odd prime p and a supersingular elliptic curve over a number field, this article introduces a multi-signed residual Selmer group, under certain hypotheses on the base field. This group depends purely on the residual representation at p, yet captures information about the Iwasawa theoretic invariants of the signed p ∞ -Selmer group that arise in supersingular Iwasawa theory. Working in this residual setting provides a natural framework for studying congruences modulo p in Iwasawa theory.

Publié le :
DOI : 10.4171/rsmup/111
Classification : 11 
@article{RSMUP_2023__149__83_0,
     author = {Nuccio Mortarino Majno di Capriglio, Filippo A. E. and Ramdorai, Sujatha},
     title = {Residual supersingular {Iwasawa} theory and signed {Iwasawa} invariants},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {83--129},
     volume = {149},
     year = {2023},
     doi = {10.4171/rsmup/111},
     mrnumber = {4575365},
     zbl = {07688318},
     language = {en},
     url = {http://www.numdam.org/articles/10.4171/rsmup/111/}
}
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%J Rendiconti del Seminario Matematico della Università di Padova
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Nuccio Mortarino Majno di Capriglio, Filippo A. E.; Ramdorai, Sujatha. Residual supersingular Iwasawa theory and signed Iwasawa invariants. Rendiconti del Seminario Matematico della Università di Padova, Tome 149 (2023), pp. 83-129. doi : 10.4171/rsmup/111. http://www.numdam.org/articles/10.4171/rsmup/111/

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