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Abelian Varieties

Period of duration of course
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Course info
Number of course hours
40
Number of hours of lecturers of reference
40
CFU 6
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Modalità esame

Oral exam.

Lecturer log

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Lecturer

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Prerequisiti

For PhD and Master's students.


Prerequisites: a solid knowledge of scheme theory.

Programma

• Schemi in gruppi.

• Rigidità, e le sue conseguenze.

• Teorema del cubo.

• La struttura di gruppo.

• Isogenie.

• Varietà abeliane duali.

• Moduli di Tate.

• Questioni aritmetiche.

Obiettivi formativi

Teaching about abelian varieties.

Riferimenti bibliografici

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

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