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On equivariant versions of Poincare series of filtrations and monodromy zetafunctionsтезисы доклада
- Автор: Gusein-Zade S.M.
- Сборник: Second International Conference and Workshop on Valuation Theory, Abstracts of lectures and talks
- Тезисы
- Год издания: 2011
- Место издания: University of Valladolid Valladolid, Spain
- Первая страница: 10
- Последняя страница: 10
- Аннотация: There are a number of observations when Poincaré series of natural filtrations on rings of germs of functions are related (sometimes coincide) with certain monodromy zeta functions. These relations are not really understood. They are obtained by direct computations of their sides in one and the same terms and comparison of the obtained results. The definition of the Poincaré series of a multi-index filtration is related with the notion of integration with respect to the Euler characteristic over the projectivization of the ring of germs of functions (which is an infinite dimensional space). Integration with respect to the Euler characteristic is also a useful tool for computing Poincaré series and monodromy zeta functions. There were discussed the basic notions and statements and also some recent results.
- Добавил в систему: Гусейн-Заде Сабир Меджидович