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
Abstract
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 |
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| 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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