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Double structures on rational space curves

✍ Scribed by Jon Eivind Vatne

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
130 KB
Volume
281
Category
Article
ISSN
0025-584X

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✦ Synopsis

Abstract

There are very many non‐reduced schemes. In this paper, we consider two examples to back this statement: we give lists of double scheme structures on a twisted cubic, and we construct rank two bundles on projective 3‐space with prescribed Chern classes, from double structures on smooth rational curves. (Β© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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In this paper we show that the bisecants of an affinely regular n-gon inscribed in an ellipse of AG(2, q) cover all the points of AG(2, q) except the remaining points of the ellipse and possibly the center of the ellipse, if n >~ x/2q 3/4. This completes the previous investigations of Korehm~iros (1