Plane Curves with Prescribed Triple Points: A Toric Approach

DOI10.1080/00927872.2011.645976zbMath1319.14038arXiv1104.1755OpenAlexW3123289353MaRDI QIDQ5326247

Olivia Dumitrescu

Publication date: 5 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1755

zbMATH Keywords

interpolationtoric varietieslinear systemsdegenerationstriple points

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Plane and space curves (14H50) Families, moduli of curves (algebraic) (14H10) Fibrations, degenerations in algebraic geometry (14D06) Singularities of curves, local rings (14H20) Configurations and arrangements of linear subspaces (14N20)

Related Items (2)

On linear systems of \(\mathbb P^3\) with nine base points ⋮ On the Bounded Negativity Conjecture and singular plane curves

Cites Work

• A new proof of the Alexander-Hirschowitz interpolation theorem
• Semistable degeneration of toric varieties and their hypersurfaces
• A combinatorial approach to Alexander–Hirschowitz's Theorem based on toric degenerations
• Introduction to Toric Varieties. (AM-131)
• Linear systems over P¹×P¹with base points of multiplicity bounded by three

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