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Segre’s University Courses and the Blossoming of the Italian School of Algebraic Geometry Read chapter Read first chapter

2016 | OriginalPaper | Chapter

Corrado Segre and Nodal Cubic Threefolds

Author : Igor Dolgachev

Published in: From Classical to Modern Algebraic Geometry

Publisher: Springer International Publishing

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Abstract

We discuss the work of Corrado Segre on nodal cubic hypersurfaces with emphasis on the cases of 6-nodal and 10-nodal cubics. In particular we discuss the Fano surface of lines and conic bundle structures on such threefolds. We review some of the modern research in algebraic geometry related to Segre’s work.

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previous chapter An Account of Instanton Bundles on Hyperquadrics
next chapter Godeaux Surfaces with an Enriques Involution and Some Stable Degenerations
Footnotes
1
This fact was essentially known to Fano (1904a).
 
2
To get expected degree 15 one has to add six lines here that come from a choice of one ruling in each exceptional divisor of the resolution \( X^{\prime} \to X \).
 
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Metadata
Title
Corrado Segre and Nodal Cubic Threefolds
Author
Igor Dolgachev
Copyright Year
2016
Book
From Classical to Modern Algebraic Geometry

Print ISBN: 978-3-319-32992-5

Electronic ISBN: 978-3-319-32994-9

Copyright Year: 2016

DOI
https://doi.org/10.1007/978-3-319-32994-9_11

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