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Rational cuspidal curves on del-pezzo surfaces

Biswas, I and D’Mello, S and Mukherjee, R and Pingali, VP (2018) Rational cuspidal curves on del-pezzo surfaces. In: Journal of Singularities, 17 . pp. 91-107.

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Official URL: https://doi.org/10.5427/jsing.2018.17f


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.

Item Type: Journal Article
Publication: Journal of Singularities
Publisher: Worldwide Center of Mathematics
Additional Information: The copyright for this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Mathematics
Date Deposited: 02 Sep 2022 10:27
Last Modified: 02 Sep 2022 10:27
URI: https://eprints.iisc.ac.in/id/eprint/76374

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