We prove the following statement, which has been conjectured since 1985: There exists a constant K such that for all natural numbers d, g with g⩽Kd3/2 there exists an irreducible component of the Hilbert scheme of P3 whose general element is a smooth, connected curve of degree d and genus g of maximal rank.
Maximal rank of space curves in the range A / Ballico, Edoardo; Ellia, Philippe; Fontanari, Claudio. - In: EUROPEAN JOURNAL OF MATHEMATICS. - ISSN 2199-675X. - 2018, 4:3(2018), pp. 778-801. [10.1007/s40879-018-0235-z]
Maximal rank of space curves in the range A
Edoardo Ballico;Claudio Fontanari
2018-01-01
Abstract
We prove the following statement, which has been conjectured since 1985: There exists a constant K such that for all natural numbers d, g with g⩽Kd3/2 there exists an irreducible component of the Hilbert scheme of P3 whose general element is a smooth, connected curve of degree d and genus g of maximal rank.File in questo prodotto:
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