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Семинар отдела алгебры
22 марта 2011 г. 15:00, г. Москва, МИАН, комн. 540 (ул. Губкина, 8)
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Non-abelian reciprocity laws on algebraic surfaces
I. Horozov |
Количество просмотров: |
Эта страница: | 220 |
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Аннотация:
We prove and generalize both Kato–Parshin reciprocity laws on an algebraic surface over a field of characteristic zero, using iterated integrals. We generalize the known reciprocity laws to reciprocity laws on generating series of iterated integrals. That gives us a reciprocity law for each coefficient of the generating
series. The terms of degree 2 give us analogues of sum of the residues is zero. Degree 3 terms give us Kato-Parshin reciprocity laws. Higher degree terms give new reciprocity laws.
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