Initial sequences and Waldschmidt constants of planar point configurations
Copyright policy )Initial sequences and Waldschmidt constants of planar point configurations
The purpose of this work is to extend the classification of planar point configurations with low Waldschmidt constants initiated in [M. Dumnicki, T. Szemberg and H. Tutaj-Gasińska, Symbolic powers of planar point configurations II, J. Pure Appl. Algebra 220 (2016) 2001–2016] and continued in [M. Mosakhani and H. Haghighi, On the configurations of points in [Formula: see text] with the Waldschmidt constant equal to two, J. Pure Appl. Algebra 220 (2016) 3821–3825] for all values less than [Formula: see text]. As a consequence, we prove a conjecture of Dumnicki, Szemberg and Tutaj-Gasińska concerning initial sequences with low first differences.
- Jagiellonian University Poland
- Pedagogical University Mozambique
Configurations and arrangements of linear subspaces, symbolic power, point configurations, Waldschmidt constants, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Polynomial rings and ideals; rings of integer-valued polynomials, Mathematics - Algebraic Geometry, 14C20, 14J26, 14N20, 13A15, 13F20, Rational and ruled surfaces, Chudnovsky conjecture, FOS: Mathematics, Divisors, linear systems, invertible sheaves, Ideals and multiplicative ideal theory in commutative rings, Algebraic Geometry (math.AG)
Configurations and arrangements of linear subspaces, symbolic power, point configurations, Waldschmidt constants, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), Polynomial rings and ideals; rings of integer-valued polynomials, Mathematics - Algebraic Geometry, 14C20, 14J26, 14N20, 13A15, 13F20, Rational and ruled surfaces, Chudnovsky conjecture, FOS: Mathematics, Divisors, linear systems, invertible sheaves, Ideals and multiplicative ideal theory in commutative rings, Algebraic Geometry (math.AG)
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