Is every toric variety an \(M\)-variety?

DOI10.1007/s00229-006-0004-zzbMath1106.14047arXivmath/0510228OpenAlexW2951810787MaRDI QIDQ2502192

Matthias Franz, Clint McCrory, Joost van Hamel, Frédéric Bihan

Publication date: 12 September 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510228

zbMATH Keywords

toric varietiesspectral sequencesreal algebraic varietiesSmith-Thom inequality

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Topology of real algebraic varieties (14P25)

Related Items (7)

The cohomology rings of real toric spaces and smooth real toric varieties ⋮ Unnamed Item ⋮ \(M\)-curves and symmetric products ⋮ Bounding the Betti numbers of real hypersurfaces near the tropical limit ⋮ A counterexample to the maximality of toric varieties ⋮ Hodge spaces of real toric varieties ⋮ The weight filtration for real algebraic varieties. II: Classical homology

Uses Software

• Torhom

Cites Work

• The mod 2 cohomology of fixed point sets of anti-symplectic involutions
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• CHOW GROUPS, CHOW COHOMOLOGY, AND LINEAR VARIETIES
• Introduction to Toric Varieties. (AM-131)
• La classe d'homologie fondamentale d'un espace analytique
• THE GEOMETRY OF TORIC VARIETIES
• Convexity and Tightness for Restrictions of Hamiltonian Functions to Fixed Point Sets of an Antisymplectic Involution
• Hilbert's sixteenth problem
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