RT Journal Article T1 On the generalized Nash problem for smooth germs and adjacencies of curve singularities A1 Fernández de Bobadilla, Javier A1 Pe Pereira, María A1 Popescu-Pampu, Patrick AB In this paper we explore the generalized Nash problem for arcs on a germ of smooth surface: given two prime divisors above its special point, to determine whether the arc space of one of them is included in the arc space of the other one. We prove that this problem is combinatorial and we explore its relation with several notions of adjacency of plane curve singularities. PB Elsevier SN 0001-8708 YR 2017 FD 2017 LK https://hdl.handle.net/20.500.14352/97933 UL https://hdl.handle.net/20.500.14352/97933 LA eng NO Fernández De Bobadilla, Javier, et al. «On the Generalized Nash Problem for Smooth Germs and Adjacencies of Curve Singularities». Advances in Mathematics, vol. 320, noviembre de 2017, pp. 1269-317. https://doi.org/10.1016/j.aim.2017.09.035. NO Ministerio de Ciencia e Innovación (España) DS Docta Complutense RD 26 dic 2025