A study of quartic K3 surfaces with a (Z/2Z)4 action

The main focus of this thesis is to study the equation A(x4+y4+z4+w4)+Bxyzw+C(x2y2+z2w2)+D(x2z2+y2w2)+E(x2w2+y2z2) = 0. To do so, we view this equation as a family of quartic K3 surfaces in P3[x,y,z,w], parametrised by points [A,B,C,D,E] E P4. We pursue two directions. First we look at 320 conics th...

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Bibliographic Details
Main Author: Bouyer, Florian
Published: University of Warwick 2016
Subjects:
Online Access:http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.693224