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In this chapter we prove that certain linear systems (and all their multiples) of plane curves with general base points and zero self-intersection are empty, thus exhibiting further examples of rays at the boundary of the Mori cone of a general blow-up of the plane.

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Non-effective Planar Linear Systems at the Boundary of the Mori Cone

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  • 发表日期：

    2025年

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  • Ciro Ciliberto,
  • Rick Miranda

摘要

In this chapter we prove that certain linear systems (and all their multiples) of plane curves with general base points and zero self-intersection are empty, thus exhibiting further examples of rays at the boundary of the Mori cone of a general blow-up of the plane.