Geodesic
Rational cuspidal curves on del-Pezzo surfaces
Journal of Singularities, Tome 17 (2018), pp. 91-107

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We obtain an explicit formula for the number of rational cuspidal curves of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the surface. This enumerative problem is expressed as an Euler class computation on the moduli space of curves. A topological method is employed in computing the degenerate contribution to the Euler class.
DOI : 10.5427/jsing.2018.17f
Classification : 14N35, 14J45 
@article{10_5427_jsing_2018_17f,
     author = {Indranil Biswas and Shane D'Mello and Ritwik Mukherjee, and Vamsi P. Pingali},
     title = {Rational cuspidal curves on {del-Pezzo} surfaces},
     journal = {Journal of Singularities},
     pages = {91--107},
     publisher = {mathdoc},
     volume = {17},
     year = {2018},
     doi = {10.5427/jsing.2018.17f},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2018.17f/}
}
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Indranil Biswas; Shane D'Mello; Ritwik Mukherjee,; Vamsi P. Pingali. Rational cuspidal curves on del-Pezzo surfaces. Journal of Singularities, Tome 17 (2018), pp. 91-107. doi: 10.5427/jsing.2018.17f

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