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).

Injective linear series of algebraic curves on quadrics / Ballico, E.; Ventura, E.. - In: ANNALI DELL'UNIVERSITÀ DI FERRARA. SEZIONE 7: SCIENZE MATEMATICHE. - ISSN 0430-3202. - 66:2(2020), pp. 231-254. [10.1007/s11565-020-00343-5]

Injective linear series of algebraic curves on quadrics

Ventura E.
2020

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2958157