In a recent paper, Cook et al. (Compos Math 154:2150–2194, 2018) used the splitting type of a line arrangement in the projective plane to study the number of conditions imposed by a general fat point of multiplicity j on the linear system of curves of degree j+ 1 passing through the configuration of points dual to the given arrangement. If the number of conditions is less than the expected, they said that the configuration of points admits unexpected curves. In this paper, we characterize supersolvable line arrangements whose dual configuration admits unexpected curves and we provide other infinite families of line arrangements with this property.

Unexpected curves arising from special line arrangements / Di Marca, M.; Malara, G.; Oneto, A.. - In: JOURNAL OF ALGEBRAIC COMBINATORICS. - ISSN 0925-9899. - 51:2(2019), pp. 171-194. [10.1007/s10801-019-00871-0]

Unexpected curves arising from special line arrangements

Oneto A.
2019

Abstract

In a recent paper, Cook et al. (Compos Math 154:2150–2194, 2018) used the splitting type of a line arrangement in the projective plane to study the number of conditions imposed by a general fat point of multiplicity j on the linear system of curves of degree j+ 1 passing through the configuration of points dual to the given arrangement. If the number of conditions is less than the expected, they said that the configuration of points admits unexpected curves. In this paper, we characterize supersolvable line arrangements whose dual configuration admits unexpected curves and we provide other infinite families of line arrangements with this property.
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Di Marca, M.; Malara, G.; Oneto, A.
Unexpected curves arising from special line arrangements / Di Marca, M.; Malara, G.; Oneto, A.. - In: JOURNAL OF ALGEBRAIC COMBINATORICS. - ISSN 0925-9899. - 51:2(2019), pp. 171-194. [10.1007/s10801-019-00871-0]
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11572/257229
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