Journal of the Ramanujan Mathematical Society

Volume 32, Issue 2, June 2017 pp. 135–146.

A note on rational cuspidal curves on Q-homology projective planes

Authors: R. V. Gurjar, DongSeon Hwang and Sagar Kolte
Author institution:Department of Mathematics, IIT Bombay, Powai, Mumbai 400 076, India

Summary: We generalize results by Wakabayashi and Orevkov about rational cuspidal curves on the projective plane to that on Q-homology projective planes. It turns out that the result is exactly the same as the projective plane case under suitable assumptions. We also provide examples which demonstrate sharpness of the results. The ambient surface is singular in these examples.

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