Geodesic
The Geometry of Double Fold Maps
Journal of Singularities, Tome 10 (2014), pp. 250-263

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We study the geometry of a family of singular map germs (C^2,0)->(C^3,0) called double folds. As an analogy to David Mond's fold map germs of the form f(x,y)= (x, y^2, f_3(x,y)), f_3 in O_2, double folds are of the form f(x,y)=(x^2, y^2, f_3(x,y)). This family provides lots of interesting germs, such as finitely determined homogeneous corank 2 germs. We also introduce analytic invariants adapted to this family. 
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     author = {G. Pe\~nafort-Sanchis},
     title = {The {Geometry} of {Double} {Fold} {Maps}},
     journal = {Journal of Singularities},
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G. Peñafort-Sanchis. The Geometry of Double Fold Maps. Journal of Singularities, Tome 10 (2014), pp. 250-263. doi: 10.5427/jsing.2014.10q

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