Geodesic
Adjoint divisors and free divisors
Journal of Singularities, Tome 7 (2013), pp. 253-274

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We describe two situations where adding the adjoint divisor to a divisor D with smooth normalization yields a free divisor. Both also involve stability or versality. In the first, D is the image of a corank 1 stable map-germ (C^n, 0) –> (C^{n+1}, 0), and is not free. In the second, D is the discriminant of a versal deformation of a weighted homogeneous function with isolated critical point (subject to certain numerical conditions on the weights). Here D itself is already free. 
@article{10_5427_jsing_2013_7n,
     author = {David Mond and Mathias Schulze},
     title = {Adjoint divisors and free divisors},
     journal = {Journal of Singularities},
     pages = {253--274},
     publisher = {mathdoc},
     volume = {7},
     year = {2013},
     doi = {10.5427/jsing.2013.7n},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2013.7n/}
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David Mond; Mathias Schulze. Adjoint divisors and free divisors. Journal of Singularities, Tome 7 (2013), pp. 253-274. doi: 10.5427/jsing.2013.7n

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