Toric degenerations of low-degree hypersurfaces

DOI10.4153/S0008439523000309arXiv2208.11645OpenAlexW4366597987MaRDI QIDQ6082442

Nathan Owen Ilten, Unnamed Author

Publication date: 6 November 2023

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.11645

zbMATH Keywords

hypersurfacestoric degenerationKhovanskii basis

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hypersurfaces and algebraic geometry (14J70)

Cites Work

• Unnamed Item
• Seshadri constants via toric degenerations
• Integrable systems, toric degenerations and Okounkov bodies
• Computing toric degenerations of flag varieties
• Generic tropical initial ideals of Cohen-Macaulay algebras
• Okounkov bodies and toric degenerations
• Mirror Symmetry and Fano Manifolds
• Khovanskii Bases, Higher Rank Valuations, and Tropical Geometry
• On Degenerations of Projective Varieties to Complexity-One T-Varieties

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