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arXiv · 1812.02377

Injective linear series of algebraic curves on quadrics

Edoardo Ballico·Emanuele Ventura
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Abstract

We study linear series on curves inducing injective morphisms to projective space, using zero-dimensional schemes and cohomological vanishings. Albeit projections of curves and their singularities are of central importance in algebraic geometry, basic problems still remain unsolved. In this note, we study cuspidal projections of space curves lying on irreducible quadrics (in arbitrary characteristic).

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Edoardo Ballico, Emanuele Ventura. 2018-12-06. Injective linear series of algebraic curves on quadrics. https://arxiv.org/abs/1812.02377

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