EQUIVARIANT SEMI-ALGEBRAIC TRIANGULATIONS OF REAL ALGEBRAIC G-VARIETIES
نویسندگان
چکیده
منابع مشابه
Spaces of algebraic and continuous maps between real algebraic varieties
We consider the inclusion of the space of algebraic (regular) maps between real algebraic varieties in the space of all continuous maps. For a certain class of real algebraic varieties, which include real projective spaces, it is well known that the space of real algebraic maps is a dense subset of the space of all continuous maps. Our first result shows that, for this class of varieties, the i...
متن کاملEquivariant Characteristic Classes of Singular Complex Algebraic Varieties
Homology Hirzebruch characteristic classes for singular varieties have been recently defined by Brasselet-Schürmann-Yokura as an attempt to unify previously known characteristic class theories for singular spaces (e.g., MacPherson-Chern classes, BaumFulton-MacPherson Todd classes, and Goresky-MacPherson L-classes, respectively). In this note we define equivariant analogues of these classes for ...
متن کاملFormality of Equivariant Intersection Cohomology of Algebraic Varieties
We present a proof that the equivariant intersection cohomology of any complete algebraic variety acted by a connected algebraic group G is a free module over H∗(BG).
متن کاملEquivariant Cohomology in Algebraic Geometry Lecture Thirteen: Toric Varieties
Let X be a complete nonsingular toric variety. In this lecture, we will descibe H∗ TX. First we recall some basic notions about toric varieties. Let T be an n-dimensional torus with character group M , and let N = HomZ(M,Z) be the dual lattice. Then X = X(Σ), for a complete nonsingular fan Σ. That is, Σ is a collection of cones σ in NR = N ⊗ZR such that two cones meet along a face of each; each...
متن کاملQuillen Property of Real Algebraic Varieties
A conjugation-invariant ideal I ⊆ C[zj , zj : j = 1, . . . , n] has the Quillen property if every real valued, strictly positive polynomial on the real zero set VR(I) ⊆ C n is a sum of hermitian squares modulo I . We first relate the Quillen property to the archimedean property from real algebra. Using hereditary calculus, we then quantize and show that the Quillen property implies the subnorma...
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: Kyushu Journal of Mathematics
سال: 1996
ISSN: 1340-6116
DOI: 10.2206/kyushujm.50.179