Displaying similar documents to “On the existence of curves in n with stable normal bundle”

On curves and jets of curves on supermanifolds

Andrew James Bruce (2014)

Archivum Mathematicum

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In this paper we examine a natural concept of a curve on a supermanifold and the subsequent notion of the jet of a curve. We then tackle the question of geometrically defining the higher order tangent bundles of a supermanifold. Finally we make a quick comparison with the notion of a curve presented here are other common notions found in the literature.

Smoothing of rational m-ropes

Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe (2009)

Open Mathematics

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In a recent paper, Gallego, González and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof, and obtain smoothability of rational m-ropes for m ≥ 3.

Strata of smooth space curves having unstable normal bundle

Luciana Ramella (1999)

Bollettino dell'Unione Matematica Italiana

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Per d g , vengono trovate curve liscie in P 3 di grado d e genere g aventi fibrato normale instabile con grado di instabilità σ , per ogni 1 σ d - 4 . Inoltre per 4 g - 2 σ d - 4 , viene trovata una famiglia di curve in P 3 di grado d e genere g avente fibrato normale instabile con grado di instabilità σ e formante uno strato dello schema di Hilbert della giusta dimensione che è 4 d - g + 1 - 2 σ .