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Thesis

Free curves on varieties

Abstract:

In this thesis we study various ways in which every two general points on a variety can be connected by curves of a fixed genus, thus mimicking the notion of a rationally connected variety but for arbitrary genus. We assume the existence of a covering family of curves which dominates the product of a variety with itself either by allowing the curves in the family to vary in moduli, or by assuming the family is trivial for some fixed curve of genus g. A suitably free curve will be one with a ...

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Research group:
Number theory
Oxford college:
New College
Role:
Author

Contributors

Division:
MPLS
Department:
Mathematical Institute
Role:
Supervisor
More from this funder
Name:
Engineering and Physical Sciences Research Council
Funding agency for:
Gounelas, F
Grant:
EP/F060661/1
Publication date:
2012
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
Language:
English
Keywords:
Subjects:
UUID:
uuid:3a7f6dba-fad2-4517-994e-0b51ea311df8
Local pid:
ora:6836
Deposit date:
2013-04-29

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