A special Cayley octad

A Cayley octad is a set of 8 points in P3 which are the base locus of a net of quadrics. Blowing up the points of the octad gives a morphism to P2 defined by the net; the fibres of this morphism are intersections of two quadrics in the net, hence curves of genus 1. The generic fibre therefore has a...

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Bibliographic Details
Main Author: Artie Prendergast
Format: Default Article
Published: 2017
Subjects:
Online Access:https://hdl.handle.net/2134/23640
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