Bounding the Betti numbers of real hypersurfaces near the tropical limit
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Publication:6182707
DOI10.24033/asens.2547arXiv1805.02030OpenAlexW2802156538MaRDI QIDQ6182707
Arthur Renaudineau, Kristin M. Shaw
Publication date: 21 December 2023
Published in: Annales Scientifiques de l École Normale Supérieure (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.02030
toric varietiesBetti numbersHodge numberstropical geometryreal algebraic hypersurfacesprimitive combinatorial patchworking
Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Topology of real algebraic varieties (14P25) Applications of tropical geometry (14T90)
Cites Work
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- A tropical construction of a family of real reducible curves
- Real plane algebraic curves with asymptotically maximal number of even ovals
- Hodge spaces of real toric varieties
- The structure of the polytope algebra
- Viro method for the construction of real complete intersections
- Lefschetz section theorems for tropical hypersurfaces
- Tropical homology
- Discriminants, resultants, and multidimensional determinants
- Asymptotically maximal families of hypersurfaces in toric varieties
- Is every toric variety an \(M\)-variety?
- On the associated graded ring of a group ring
- Homology theory for locally compact spaces
- On the topology of real plane algebraic curves
- Topological properties of real algebraic varieties: du coté de chez Rokhlin
- Real quintic surface with components
- Euler characteristic of primitiveT-hypersurfaces and maximal surfaces
- Une quintique numérique réelle dont le premier nombre de Betti est maximal
- Haas' theorem revisited
- Lefschetz (1,1)-theorem in tropical geometry
- Mirror symmetry via logarithmic degeneration data, II
- Tropical Eigenwave and Intermediate Jacobians
- The Orlik-Solomon Algebra and the Bergman Fan of a Matroid
- Brief introduction to tropical geometry
- Hilbert's sixteenth problem