PDF книги

Поиcк по сайту by Google

Рейтинг@Mail.ru
Rambler's Top100
PDF книги » Математика » Youssin B. - Newton polyhedra without coordinates. Newton polyhedra of ideals

Youssin B. - Newton polyhedra without coordinates. Newton polyhedra of ideals

Скачать
Название: Newton polyhedra without coordinates. Newton polyhedra of ideals
Автор: Youssin B.
Категория: Математика
Тип: Книга
Дата: 31.12.2008 00:14:32
Скачано: 29
Оценка:
Описание: NEWTON POLYHEDRA WITHOUT COORDINATES Given a function / in a complete regular ring of characteristic zero, we give a canonical construction of an ideal containing this function. This ideal in some local coordinate system is generated by the monomials in the coordinate functions whose exponents lie in some polyhedron Г in the positive orthant. A similar result is proved for a system of functions /1, /2» • - > /o For a function / , this construction gives ue a coordinate-free construction of some Newton polyhedron related to / . This construction is also important for our future program of canonical resolution of singularities in characteristic zero. Key words and phrases : Newton polyhedron, resolution of singularities, integrally closed filtration, quasi-homogeneous filtration, derivations in local rings. NEWTON POLYHEDRA OF IDEALS Given an ideal A in a complete regular local ring О of characteristic zero, we construct a canonical filtration in О associated with the ideal A ; this filtration consists of ideals which in some coordinate system are generated by the monomials in the coordinate functions whose exponents lie in some polyhedra in the positive orthant. For an ideal A , this construction gives us a coordinate-free definition of some Newton polyhedron related to A . This construction is also important for our future program of canonical resolution of singularities in characteristic zero. Kty words and phrases : Newton polyhedron, resolution of singularities, contact filtration, standard base of an idea].
Файл: 1.54 МБ
Скачать