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study of divisors and algebras on a double cover of the affine plane

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Date Issued:
2012
Summary:
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.
Title: A study of divisors and algebras on a double cover of the affine plane.
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Name(s): Bulj, Djordje.
Charles E. Schmidt College of Science
Department of Mathematical Sciences
Type of Resource: text
Genre: Electronic Thesis Or Dissertation
Date Issued: 2012
Publisher: Florida Atlantic University
Physical Form: electronic
Extent: vi, 56 p. : ill.
Language(s): English
Summary: 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.
Identifier: 820359992 (oclc), 3355618 (digitool), FADT3355618 (IID), fau:3944 (fedora)
Note(s): by Djordje Bulj.
Thesis (Ph.D.)--Florida Atlantic University, 2012.
Includes bibliography.
Mode of access: World Wide Web.
System requirements: Adobe Reader.
Subject(s): Algebraic number theory
Geometry -- Data processing
Noncommutative differential geometry
Mathematical physics
Curves, Algebraic
Commutative rings
Persistent Link to This Record: http://purl.flvc.org/FAU/3355618
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU