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Abelian Varieties

Schedule

Monday, 4 November 2019 to Saturday, 30 May 2020
Total hours: 60
Hours of lectures: 60

Examination procedure

  • oral exam

Prerequisites

Good knowledge of the theory of schemes.

Syllabus

 • Rigidity and its conseguences.

• Theorem of the cube.

• The group structure

• Isogenies.

• Dual abelian varieties.

• Arithmetic questions.

 

Educational goals: 

Teaching the theory of abelian varieties.

 

Bibliographical references

Mumford, David: Abelian varieties, Tata Institute of Fundamental Research Studies in Mathematics, 5, Providence, R.I.: American Mathematical Society.