Journal of the Ramanujan Mathematical Society

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A Note on Rational Cuspidal Curves on ℚ-Homology Projective Planes


Affiliations
1 Department of Mathematics, IIT Bombay, Powai, Mumbai 400 076, India
2 Department of Mathematics, Ajou University, Suwon 16499, Korea, Democratic People's Republic of
3 Credit Suisse, Delphi Building, Powai, Mumbai 400 076, India
     

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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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  • A Note on Rational Cuspidal Curves on ℚ-Homology Projective Planes

Abstract Views: 233  |  PDF Views: 1

Authors

R. V. Gurjar
Department of Mathematics, IIT Bombay, Powai, Mumbai 400 076, India
Dong Seon Hwang
Department of Mathematics, Ajou University, Suwon 16499, Korea, Democratic People's Republic of
Sagar Kolte
Credit Suisse, Delphi Building, Powai, Mumbai 400 076, India

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.