• Corpus ID: 202661058

Obstructions to deforming space curves lying on a smooth cubic surface

@article{Nasu2019ObstructionsTD,
  title={Obstructions to deforming space curves lying on a smooth cubic surface},
  author={Hirokazu Nasu},
  journal={arXiv: Algebraic Geometry},
  year={2019}
}
  • Hirokazu Nasu
  • Published 18 September 2019
  • Mathematics
  • arXiv: Algebraic Geometry
In this paper, we study the deformations of curves in the projective 3-space $\mathbb P^3$ (space curves), one of the most classically studied objects in algebraic geometry. We prove a conjecture due to J. O. Kleppe (in fact, a version modified by Ph. Ellia) concerning maximal families of space curves lying on a smooth cubic surface, assuming the quadratic normality of its general members. We also give a sufficient condition for curves lying on a cubic surface to be obstructed in $\mathbb P^3… 
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