On the smoothings of non-normal isolated surface singularities

Patrick Popescu-Pampu

Journal of Singularities
volume 12 (2015), 164-179

Received 1 May 2014. Received in revised form 11 November 2014.

DOI: 10.5427/jsing.2015.12l

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Abstract:

We show that isolated surface singularities which are non-normal may have Milnor fibers which are non-diffeomorphic to those of their normalizations. Therefore, non-normal isolated singularities enrich the collection of Stein fillings of links of normal isolated singularities. We conclude with a list of open questions related to this theme.


Keywords:

Milnor fibers, Milnor fillable manifolds, non-normal singularities, ruled surfaces, Stein fillings, symplectic fillings, smoothings, simple elliptic singularities


Mathematical Subject Classification:

14B07 (primary), 32S55


Author(s) information:

Patrick Popescu-Pampu
Université Lille 1
UFR de Maths., Bâtiment M2
Cité Scientifique
59655, Villeneuve d'Ascq Cedex, France
email: patrick.popescu@math.univ-lille1.fr