Initial sequences and Waldschmidt constants of planar point configurations

DOI10.1142/S0218196717500345zbMath1391.14013arXiv1607.01031OpenAlexW3100629175MaRDI QIDQ4588873

Łucja Farnik, Janusz Gwoździewicz, Grzegorz Malara, Magdalena Lampa-Baczyńska, Beata Hejmej, Justyna Szpond

Publication date: 3 November 2017

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1607.01031

zbMATH Keywords

symbolic powerpoint configurationsWaldschmidt constantsChudnovsky conjecture

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Divisors, linear systems, invertible sheaves (14C20) Configurations and arrangements of linear subspaces (14N20)

Related Items (9)

All fat point subschemes in \(\mathbb{P}^2\) with the Waldschmidt constant less than 5/2 ⋮ Initial degree of symbolic powers of ideals of Fermat configurations of points ⋮ Waldschmidt constants in projective spaces ⋮ Special line arrangements in \(\mathbb {P}^2\) and Waldschmidt constant of their singular points ⋮ Fat point ideals in \(\mathbb{K}[\mathbb{P}^N\) with linear minimal free resolutions and their resurgences] ⋮ On the configurations of codimension two linear subspaces of ℙN with the Waldschmidt constant less than 2 ⋮ On a conjecture of Demailly and new bounds on Waldschmidt constants in \(\mathbb{P}^N\) ⋮ Lower semi-continuity of the Waldschmidt constants ⋮ The initial degree of symbolic powers of Fermat-like ideals of planes and lines arrangements

Uses Software

• SINGULAR

Cites Work

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