Geodesic
Classification at infinity of polynomials of degree 3 in 3 variables
Journal of Singularities, Tome 25 (2022), pp. 377-392

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We classify singularities at infinity of polynomials of degree 3 in 3 variables. Based on this classification, we calculate the jump in the Milnor number of an isolated singularity at infinity, when we pass from the special fiber to a generic fiber. As an application of the results, we investigate the existence of global fibrations of degree 3 polynomials in complex affine 3-space and search for information about the topology of the fibers in each equivalence class. 
@article{10_5427_jsing_2022_25r,
     author = {Nilva Rodrigues Ribeiro},
     title = {Classification at infinity of polynomials of degree 3 in 3 variables},
     journal = {Journal of Singularities},
     pages = {377--392},
     publisher = {mathdoc},
     volume = {25},
     year = {2022},
     doi = {10.5427/jsing.2022.25r},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2022.25r/}
}
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Nilva Rodrigues Ribeiro. Classification at infinity of polynomials of degree 3 in 3 variables. Journal of Singularities, Tome 25 (2022), pp. 377-392. doi: 10.5427/jsing.2022.25r

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