On the parity ranks of Selmer groups

By J. Nekovář, A. Plater. 2000

122 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/b88ec4b82bc87515c42ef84a57c7f3a8c2b7d839

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Kazuya Kato
2. Shin-ichi Kobayashi

In Geometry and Topology

1. R. Sujatha
2. John Coates
3. Kazuya Kato
4. T. Fukaya
5. Shin-ichi Kobayashi
6. X. Wan
7. Antonio Lei
8. Florian Sprung

Citations in the corpus

• Root numbers, Selmer groups, and non-commutative Iwasawa theory (2010, background): “We are extremely grateful to the generous help we have received from many colleagues while preparing this paper.”
• Ranks of elliptic curves (2002, unknown): “13 (Nekovář [55]).”
• Selmer groups and the indivisibility of Heegner points (2014, unknown): “The parity conjecture is known in a more general setting [32] but our proof does not use it and in fact implies it for our (E, p,K).”
• Iwasawa theory for elliptic curves at supersingular primes (2003, background): “Nekovář [15] showed that wE is the parity of the corank of Sel(E/Q∞).”