A combinatorial approach to Alexander–Hirschowitz's Theorem based on toric degenerations

DOI10.1515/ADVGEOM.2010.025zbMath1207.13010arXiv0907.3662OpenAlexW2964016013MaRDI QIDQ3055463

Silvia Brannetti

Publication date: 8 November 2010

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0907.3662

zbMATH Keywords

fat pointssecant varietiestoric degenerationsspecial systems

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items (1)

Plane Curves with Prescribed Triple Points: A Toric Approach

Cites Work

• A tropical approach to secant dimensions
• On the Alexander-Hirschowitz theorem
• A brief proof of a maximal rank theorem for generic double points in projective space

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