Rational homotopy theory in arithmetic geometry : applications to rational points

In this thesis I study various incarnations of rational homotopy theory in the world of arithmetic geometry. In particular, I study unipotent crystalline fundamental groups in the relative setting, proving that for a smooth and proper family of geometrically connected varieties f:X->S in positive...

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Bibliographic Details
Main Author: Lazda, Christopher David
Other Authors: Pál, Ambrus
Published: Imperial College London 2014
Subjects:
510
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.656602