Lower bounds for Waldschmidt constants of generic lines in \({\mathbb {P}}^3\) and a Chudnovsky-type theorem

DOI10.1007/s00009-019-1328-8zbMath1409.14088arXiv1803.02387OpenAlexW2964013345MaRDI QIDQ2632561

Justyna Szpond, Marcin Dumnicki, Halszka Tutaj-Gasińska, Mohammad Zaman Fashami

Publication date: 14 May 2019

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.02387

zbMATH Keywords

symbolic powerscontainment problemWaldschmidt constantsasymptotic Hilbert functionChudnovsky conjecture

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Divisors, linear systems, invertible sheaves (14C20) Configurations and arrangements of linear subspaces (14N20)

Related Items (3)

Unexpected surfaces singular on lines in \(\mathbb{P}^3\) ⋮ Fattening of ACM arrangements of codimension 2 subspaces in ℙN ⋮ The initial degree of symbolic powers of Fermat-like ideals of planes and lines arrangements

Cites Work

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