منابع مشابه
Relative Topology of Real Algebraic Varieties in Their Complexifications
We investigate, for a given smooth closed manifold M , the existence of an algebraic model X for M (i.e., a nonsingular real algebraic variety diffeomorphic to M) such that some nonsingular projective complexification i : X → XC of X admits a retraction r : XC → X. If such an X exists, we show that M must be formal in the sense of Sullivan’s minimal models, and that all rational Massey products...
متن کاملTopology of Singular Algebraic Varieties
I will discuss recent progress by many people in the program of extending natural topological invariants from manifolds to singular spaces. Intersection homology theory and mixed Hodge theory are model examples of such invariants. The past 20 years have seen a series of new invariants, partly inspired by string theory, such as motivic integration and the elliptic genus of a singular variety. Th...
متن کاملThe Weight Filtration for Real Algebraic Varieties
Using the work of Guillén and Navarro Aznar we associate to each real algebraic variety a filtered chain complex, the weight complex, which is well-defined up to filtered quasi-isomorphism, and which induces on Borel-Moore homology with Z2 coefficients an analog of the weight filtration for complex algebraic varieties. The weight complex can be represented by a geometrically defined filtration ...
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 کاملDetermining the Topology of Real Algebraic Surfaces
An algorithm is proposed to determine the topology of an implicit real algebraic surface in R. The algorithm consists of three steps: surface projection, projection curve topology determination and surface patches composition. The algorithm provides a curvilinear wireframe of the surface and the surface patches of the surface determined by the curvilinear wireframe, which have the same topology...
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: Current Developments in Mathematics
سال: 2000
ISSN: 1089-6384,2164-4829
DOI: 10.4310/cdm.2000.v2000.n1.a4