Date of Award
2012
Document Type
Thesis
Publication Status
Version of Record
Submission Date
October 2026
Abstract
An algebraic surface defined by an equation of the form z2 = (x+a1y) ... (x + any) (x - 1) is studied, from both an algebraic and geometric point of view. It is shown that the surface is rational and contains a singular point which is nonrational. The class group of Weil divisors is computed and the Brauer group of Azumaya algebras is studied. Viewing the surface as a cyclic cover of the affine plane, all of the terms in the cohomology sequence of Chase, Harrison and Roseberg are computed.
Extent
vi, 56 p. : ill.
Recommended Citation
Bulj, Djordje., "study of divisors and algebras on a double cover of the affine plane" (2012). Electronic Theses and Dissertations 2010 - 2019. 653.
https://digitalcommons.fau.edu/etd_general_6/653
Identifier
FADT3355618
Comments
by Djordje Bulj.|Thesis (Ph.D.)--Florida Atlantic University, 2012.|Includes bibliography.|Mode of access: World Wide Web.|System requirements: Adobe Reader.|by Djordje Bulj.