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study of divisors and algebras on a double cover of the affine plane
| Title: | A study of divisors and algebras on a double cover of the affine plane. |
 159 views 48 downloads |
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| Name(s): |
Bulj, Djordje. Charles E. Schmidt College of Science Department of Mathematical Sciences |
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| 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. |
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| Subject(s): |
Algebraic number theory Geometry -- Data processing Noncommutative differential geometry Mathematical physics Curves, Algebraic Commutative rings |
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| Persistent Link to This Record: | http://purl.flvc.org/FAU/3355618 | |
| Use and Reproduction: | http://rightsstatements.org/vocab/InC/1.0/ | |
| Host Institution: | FAU |
