Notes on the Parity Conjecture
作者： Tim Dokchitser
DOI: 10.1007/978-3-0348-0618-3_5
关键词: Sato–Tate conjecture 、 Schoof's algorithm 、 Abelian variety 、 Mathematics 、 Modular elliptic curve 、 Pure mathematics 、 Collatz conjecture 、 Conjecture 、 Supersingular elliptic curve 、 Parity (mathematics)
摘要: The main purpose of these notes is to prove, in a reasonably self-contained way, that finiteness the Tate–Shafarevich group implies parity conjecture for elliptic curves over number fields. Along we review local and global root numbers their classification, end by discussing some peculiar consequences conjecture.
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