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Poincaré series of multi-index filtrations, integration with respect to the Euler characteristic and monodromy zeta functionsтезисы доклада
- Автор: Gusein-Zade S.M.
- Сборник: Abstracts of the IV Congress of the Turkic World Mathematical Society
- Тезисы
- Год издания: 2011
- Место издания: Ministry of Education of the Republic of Azerbaijan Baku, Azerbaijan
- Первая страница: 5
- Последняя страница: 5
- Аннотация: There are a number of observations when Poincare 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 Poincare 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 Poincare series and mon- odromy zeta functions. There were discussed the basic notions and statements and also some recent results.
- Добавил в систему: Гусейн-Заде Сабир Меджидович