Lefschetz section theorems for tropical hypersurfaces
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Publication:2077193
DOI10.5802/ahl.104zbMath1502.14151arXiv1907.06420OpenAlexW3200634489WikidataQ113689242 ScholiaQ113689242MaRDI QIDQ2077193
Arthur Renaudineau, Charles Arnal, Kristin M. Shaw
Publication date: 24 February 2022
Published in: Annales Henri Lebesgue (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.06420
Combinatorial aspects of tropical varieties (14T15) Hodge theory in global analysis (58A14) Stratifications; constructible sheaves; intersection cohomology (complex-analytic aspects) (32S60)
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Cites Work
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- Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces
- Analytification is the limit of all tropicalizations
- Newton polyhedra and toroidal varieties
- Dualities between cellular sheaves and cosheaves
- Superforms, tropical cohomology, and Poincaré duality
- Cellular sheaf cohomology in polymake
- Combinatorics and topology of proper toric maps
- Tropical homology
- Lifting nonproper tropical intersections
- Introduction to Toric Varieties. (AM-131)
- The Mixed Hodge Structure of the Complement to an Arbitrary Arrangement of Affine Complex Hyperplanes is Pure
- Lefschetz (1,1)-theorem in tropical geometry
- Cycles, cocycles, and duality on tropical manifolds
- Topology of real algebraic varieties and tropical homology
- Tropical Eigenwave and Intermediate Jacobians
- The Orlik-Solomon Algebra and the Bergman Fan of a Matroid
- Brief introduction to tropical geometry
