Brown University Theses and Dissertations

Brown University Library archives dissertations in accordance with the Brown Graduate School policy.

For dissertations published prior to 2008, please consult the following Dissertation LibGuide

Refine your results

Description:: We define a category of smooth 1-motives with torsion over a locally noetherian base scheme and prove its Cartier duality. More precisely, we prove that …
Year:: 2009
Contributor:: Park, Donghoon (creator); Lichtenbaum, Stephen (director); Lichtenbaum, Stephen (reader); Goncharov, Alexander (reader); Rosen, Michael (reader); Brown University. Mathematics (sponsor)
Genre:: theses
Subject:: smooth 1-motives with torsion; Cartier duality
Collection:: Mathematics; Theses and Dissertations

Full Record

Description:: The sequence of division polynomials for an elliptic curve satisfies a non-linear recurrence relation. Specialising to a chosen elliptic curve and evaluating at a chosen …
Year:: 2008
Contributor:: Stange, Katherine E. (creator); Silverman, Joseph (director); Goncharov, Alexander (reader); Lichtenbaum, Stephen (reader); Silverman, Joseph (reader); Brown University. Mathematics (sponsor)
Genre:: theses
Subject:: elliptic net; elliptic curve; elliptic divisibility sequence; biextension; Tate pairing; Curves, Elliptic
Collection:: Mathematics; Theses and Dissertations

Full Record

Description:: We study the moduli space of orbifold stable maps to the stack symmetric square of the projective plane, [Sym^2 P^2]. Viewing this moduli space as …
Year:: 2008
Contributor:: Wise, Jonathan (creator); Abramovich, Dan (director); Abramovich, Dan (reader); Goncharov, Alexander (reader); Lichtenbaum, Stephen (reader); Brown University. Mathematics (sponsor)
Genre:: theses
Subject:: algebraic geometry; hyperelliptic; Gromov-Witten; Geometry, Algebraic
Collection:: Mathematics; Theses and Dissertations

Full Record