We prove the following statement, which has been conjecturedsince 1985:There exists a constant K such that for all natural numbers d, g with g≤Kd^(3/2) there exists an irreducible component of the Hilbert schemeof 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
Filippo ELLIA
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2018
Abstract
We prove the following statement, which has been conjecturedsince 1985:There exists a constant K such that for all natural numbers d, g with g≤Kd^(3/2) there exists an irreducible component of the Hilbert schemeof 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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BEF-RangeA.pdf
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Ballico2018_Article_MaximalRankOfSpaceCurvesInTheR.pdf
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