Сибирский федеральный университет

Тип публикации: статья из журнала

Год издания: 2012

Идентификатор DOI: 10.1134/S0081543812080056

Аннотация: The amoeba of a complex algebraic set is its image under the projection onto the real subspace in the logarithmic scale. We study the homological properties of the complements of amoebas for sets of codimension higher than 1. In particular, we refine A. Henriques' result saying that the complement of the amoeba of a codimension k set is (k - 1)-convex. We also describe the relationship between the critical points of the logarithmic projection and the logarithmic Gauss map of algebraic sets. DOI: 10.1134/S0081543812080056

Журнал: PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS

Выпуск журнала: Vol. 279, Is. 1

Номера страниц: 52-63

ISSN журнала: 00815438

Место издания: NEW YORK

Издатель: MAIK NAUKA/INTERPERIODICA/SPRINGER

• Bushueva N.A. (Siberian Fed Univ, Inst Math, Krasnoyarsk 660041, Russia)
• Tsikh A.K. (Siberian Fed Univ, Inst Math, Krasnoyarsk 660041, Russia)

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