Journal of the Ramanujan Mathematical Society

R. V. Gurjar ¹, Dong Seon Hwang ², Sagar Kolte ³

Affiliations
1 Department of Mathematics, IIT Bombay, Powai, Mumbai 400 076, IN
2 Department of Mathematics, Ajou University, Suwon 16499, KP
3 Credit Suisse, Delphi Building, Powai, Mumbai 400 076, IN

Abstract

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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