Moment functions on real algebraic sets
نویسندگان
چکیده
منابع مشابه
Numerically computing real points on algebraic sets
Given a polynomial system f , a fundamental question is to determine if f has real roots. Many algorithms involving the use of infinitesimal deformations have been proposed to answer this question. In this article, we transform an approach of Rouillier, Roy, and Safey El Din, which is based on a classical optimization approach of Seidenberg, to develop a homotopy based approach for computing at...
متن کاملConstructing Strange Real Algebraic Sets
Recall that algebraic sets are characterized by resolution tower structures [AK1], [AK2]. A topological space with such a structure is called a T R space for short. In low dimensions existence of resolution tower structures can often be detected by combinatorial invariants of the underlying topological spaces. For example, let X be a locally cone-like Euler stratified space (i.e., a locally con...
متن کاملOn Topological Invariants of Real Algebraic Functions
We consider a natural covering responsible for the complexity of the ramification of roots of the general real polynomial equation, and calculate the homology groups of its base; for equations of degree ≤ 5 we give a complete description of the topology of this base. The general complex d-valued entire algebraic function x = F (a1, . . . , ad), given by the equation (1) x + a1x + · · ·+ ad−1x+ ...
متن کاملReal Homotopy Theory of Semi-algebraic Sets
We complete the details of a theory outlined by Kontsevich and Soibelman that associates to a semi-algebraic set a certain graded commutative differential algebra of “semi-algebraic differential forms” in a functorial way. This algebra encodes the real homotopy type of the semialgebraic set in the spirit of the DeRham algebra of differential forms on a smooth manifold. Its development is needed...
متن کاملThe Topology of Real Algebraic Sets
Nutzungsbedingungen Mit dem Zugriff auf den vorliegenden Inhalt gelten die Nutzungsbedingungen als akzeptiert. Die angebotenen Dokumente stehen für nicht-kommerzielle Zwecke in Lehre, Forschung und für die private Nutzung frei zur Verfügung. Einzelne Dateien oder Ausdrucke aus diesem Angebot können zusammen mit diesen Nutzungsbedingungen und unter deren Einhaltung weitergegeben werden. Die Spei...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Arkiv för Matematik
سال: 1992
ISSN: 0004-2080
DOI: 10.1007/bf02384866