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Generalized orbifold Euler characteristics on the Grothendieck ring of varieties with actions of finite groupsстатья
Информация о цитировании статьи получена из
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Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 19 декабря 2019 г.
- Авторы: Gusein-Zade S.M., Luengo I., Melle-Hernandez A.
- Журнал: Symmetry
- Том: 11
- Номер: 7
- Год издания: 2019
- Издательство: MDPI
- Местоположение издательства: Basel, Switzerland
- Первая страница: 1
- Последняя страница: 10
- DOI: 10.3390/sym11070902
- Аннотация: The notion of the orbifold Euler characteristic came from physics at the end of the 1980s. Coincidence (up to sign) of the orbifold Euler characteristics is a necessary condition for crepant resolutions of orbifolds to be mirror symmetric. There were defined higher order versions of the orbifold Euler characteristic and generalized (“motivic”) versions of them. In a previous paper, the authors defined a notion of the Grothendieck ring KfGr_0(Var_C) of varieties with actions of finite groups on which the orbifold Euler characteristic and its higher order versions are homomorphisms to the ring of integers. Here, we define the generalized orbifold Euler characteristic and higher order versions of it as ring homomorphisms from KfGr_0(Var_C) to the Grothendieck ring K_0(Var_C) of complex quasi-projective varieties and give some analogues of the classical Macdonald equations for the generating series of the Euler characteristics of the symmetric products of a space.
- Добавил в систему: Гусейн-Заде Сабир Меджидович