Holomorphic extensions in toric varieties

Author

Malgorzata Aneta Marciniak

Keywords and Phrases

Hartogs phenomenon

Abstract

"The dissertation describes the Hartogs and the Hartogs-Bochner extension phenomena in smooth toric varieties and their connection with the first cohomology group with compact support and sheaf coefficients. The affirmative and negative results are proved for toric surfaces and for line bundles over toric varieties using topological, analytic, and algebraic methods"--Abstract, page iii.

Advisor(s)

Dwilewicz, Roman

Committee Member(s)

Insall, Matt
Grow, David E.
Slodkowski, Zbigniew
Clark, Stephen L.

Department(s)

Mathematics and Statistics

Degree Name

Ph. D. in Mathematics

Publisher

Missouri University of Science and Technology

Publication Date

Spring 2009

Pagination

x, 147 pages

Note about bibliography

Includes bibliographical references (pages 142-144).

Rights

© 2009 Malgorzata Aneta Marciniak, All rights reserved.

Document Type

Dissertation - Open Access

File Type

text

Language

English

Subject Headings

Holomorphic functionsToric varieties

Thesis Number

T 9516

Print OCLC #

503558590

Electronic OCLC #

319618464

Recommended Citation

Marciniak, Malgorzata Aneta, "Holomorphic extensions in toric varieties" (2009). Doctoral Dissertations. 1944.
https://scholarsmine.mst.edu/doctoral_dissertations/1944