Geodesic
On the integrality of modular symbols and Kato's Euler system for elliptic curves
Documenta mathematica, Tome 19 (2014), pp. 381-402
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Let E/Q be an elliptic curve. We investigate the denominator of the modular symbols attached to E. We show that one can change the curve in its isogeny class to make these denominators coprime to any given odd prime of semi-stable reduction. This has applications to the integrality of Kato's Euler system and the main conjecture in Iwasawa theory for elliptic curves.
DOI : 10.4171/dm/450
Classification : 11F67, 11G05, 11G16, 11G40, 11R23
Mots-clés : elliptic curves, modular symbols, Kato's Euler system 
@article{10_4171_dm_450,
     author = {Christian Wuthrich},
     title = {On the integrality of modular symbols and {Kato's} {Euler} system for elliptic curves},
     journal = {Documenta mathematica},
     pages = {381--402},
     year = {2014},
     volume = {19},
     doi = {10.4171/dm/450},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/450/}
}
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Christian Wuthrich. On the integrality of modular symbols and Kato's Euler system for elliptic curves. Documenta mathematica, Tome 19 (2014), pp. 381-402. doi: 10.4171/dm/450

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