Virtual Betti numbers of real algebraic varieties.

DOI10.1016/S1631-073X(03)00168-7zbMath1073.14071arXivmath/0210374OpenAlexW1987596110MaRDI QIDQ1408212

Clint McCrory, Adam Parusiński

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0210374

Mathematics Subject Classification ID

Real algebraic sets (14P05) Topology of real algebraic varieties (14P25) Topological properties in algebraic geometry (14F45)

Related Items (23)

Motivic integration and Milnor fiber ⋮ Motivic integration and projective bundle theorem in morphic cohomology ⋮ On Grothendieck rings and algebraically constructible functions ⋮ Generalized Euler characteristic in power-bounded T-convex valued fields ⋮ On a motivic invariant of the arc-analytic equivalence ⋮ Arc spaces, motivic measure and Lipschitz geometry of real algebraic sets ⋮ Motivic invariants of real polynomial functions and their Newton polyhedrons ⋮ Virtual Poincaré polynomial of the link of a real algebraic variety ⋮ The motivic real Milnor fibres ⋮ Grothendieck ring of semialgebraic formulas and motivic real Milnor fibers ⋮ Products of real equivariant weight filtrations ⋮ Blow-Nash types of simple singularities ⋮ On the equivariant blow-Nash classification of simple invariant Nash germs ⋮ Arc-wise analytic stratification, Whitney fibering conjecture and Zariski equisingularity ⋮ Weight complexe of real algebraic varieties with action ⋮ Equivariant virtual Betti numbers ⋮ Is every toric variety an \(M\)-variety? ⋮ Cohomology and products of real weight filtrations ⋮ Complete classification of Brieskorn polynomials up to the arc-analytic equivalence ⋮ Stiefel–Whitney numbers for singular varieties ⋮ EQUIVARIANT ZETA FUNCTIONS FOR INVARIANT NASH GERMS ⋮ AN INVERSE MAPPING THEOREM FOR BLOW-NASH MAPS ON SINGULAR SPACES ⋮ Quotients and invariants of \(\mathcal{AS}\)-sets equipped with a finite group action

Cites Work

• An extension criterion for functors defined on smooth schemes
• Torification and factorization of birational maps
• The universal Euler characteristic for varieties of characteristic zero
• Descent, motives and K-theory.
• Space of real arc germs and Poincaré series of a semi-algebraic set
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