Тип публикации: статья из журнала
Год издания: 2005
Идентификатор DOI: 10.1112/S0010437X04001411
Ключевые слова: hypergeometric functions; amoebas; Newton polytopes
Аннотация: This paper deals with singularities of nonconfluent hypergeometric functions in several complex variables. Typically such a function is a multi-valued analytic function with singularities along an algebraic hypersurface. We describe such hypersurfaces in terms of the amoebas and the Newton polytopes of their defining polynomials. IПоказать полностьюn particular, we show that the amoebas of classical discriminantal hypersurfaces are solid, that is, they possess the minimal number of complement components.
Журнал: COMPOSITIO MATHEMATICA
Выпуск журнала: Vol. 141, Is. 3
Номера страниц: 787-810
ISSN журнала: 0010437X
Место издания: LONDON
Издатель: LONDON MATH SOC