Shafarevich-Tate Groups

Preliminaries.- Elliptic curves; Drinfeld modules; Shimura curves, Elliptic spaces.- Complex multiplication, Heegner points, CM points.- Local fields and local conditions.- Global fields and Selmer structures.- Euler systems.- Kolyvagin systems.- Selmer groups and Kolyvagin systems.

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• Teoria dos números
• Geometria algébrica

Shafarevich-Tate groups;Heegner points;CM points;Shimura curves;Drinfeld modular curves;Euler systems;Kolyvagin systems;Elliptic curves;Selmer structures;Selmer triples;Cassels-Tate pairing;Rubin elliptic curves