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Browsing Mathematics (Faculty of) by Supervisor "Satriano, Matthew"
Now showing items 1-3 of 3
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Abstract and Explicit Constructions of Jacobian Varieties
(University of Waterloo, 2018-08-10)Abelian varieties, in particular Jacobian varieties, have long attracted interest in mathematics. Their influence pervades arithmetic geometry and number theory, and understanding their construction was a primary motivator ... -
Applications of the minimal modelprogram in arithmetic dynamics
(University of Waterloo, 2021-09-07)Let F be a surjective endomorphism of a normal projective variety X defined over a number field. The dynamics of F may be studied through the dynamics of the linear action of an associated linear pull-back action on divisors. ... -
Horospherical geometry: combinatorial algebraic stacks and approximating rational points
(University of Waterloo, 2024-07-17)The purpose of this thesis is to explore and develop several aspects of the theory of horospherical geometry. Horospherical varieties are equipped with the action of a reductive algebraic group such that there is an open ...