On the Tate Shafarevich groups over cyclotomic fields of an elliptic curve with supersingular reduction I

By Masatoshi Kurihara. 2002

90 citations recorded by the source corpus.

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6c3458d0cc82a3993f85c73642e7073e994a5b84

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In Discrete Mathematics and Combinatorics

1. John Coates
2. R. Sujatha
3. Antonio Lei

In Geometry and Topology

1. R. Sujatha
2. John Coates
3. Antonio Lei
4. David Loeffler
5. Sarah Livia Zerbes
6. O. Venjakob

In Mathematical Physics

1. R. Sujatha
2. John Coates
3. Antonio Lei
4. David Loeffler
5. Sarah Livia Zerbes
6. O. Venjakob

Citations in the corpus

• Iwasawa theory for modular forms at supersingular primes (2009, methodology): “Although the Coleman maps in [7] are defined using formal groups, it is pointed out in [8] that they can be obtained from Perrin-Riou’s exponential map defined in [10].”
• Iwasawa theory of elliptic curves at supersingular primes over ℤ p -extensions of number fields (2004, unknown): “N”
• Fine Selmer groups of elliptic curves over p-adic Lie extensions (2005, background): “modules have already been studied in various guises by Billot, Kurihara, Perrin-Riou and others (see for example [1], [ 16 ], [22]) when G � Zp .H owever, we believe that these modules have additional properties, which have not been investigated so far, especially when dim G> 1.”