Let A be a real line arrangement and D(A) the module of A–derivations view as the set of polynomial vector fields which possess A as an invariant set. We first characterize polynomial vector fields having an infinite number of invariant lines. Then we prove that the minimal degree of polynomial vector fields fixing only a finite set of lines in D(A) is not determined by the combinatorics of A.
On the minimal degree of logarithmic vector fields of line arrangements / Guerville-Ballé, Benoît; Viu-Sos, Juan. - 40:(2015), pp. 61-66.
On the minimal degree of logarithmic vector fields of line arrangements
Guerville-Ballé, Benoît
;
2015-01-01
Abstract
Let A be a real line arrangement and D(A) the module of A–derivations view as the set of polynomial vector fields which possess A as an invariant set. We first characterize polynomial vector fields having an infinite number of invariant lines. Then we prove that the minimal degree of polynomial vector fields fixing only a finite set of lines in D(A) is not determined by the combinatorics of A.File in questo prodotto:
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