A plurisubharmonic analogue to Igusa's theorem
Abstract/Contents
- Abstract
- This dissertation is concerned with removing singularities of plurisubharmonic functions. Igusa demonstrated that there is an h-principle for functions without higher singularities, and later, Eliashberg and Mishachev extended these results. In this thesis, we prove an analogue of Igusa's theorem for families of plurisubharmonic functions on a complex manifold under an additional assumption restricting to the case when all singularities are of corank 1.
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource. |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2023; ©2023 |
| Publication date | 2023; 2023 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Falcone, Paul William |
|---|---|
| Degree supervisor | Eliashberg, Y, 1946- |
| Thesis advisor | Eliashberg, Y, 1946- |
| Thesis advisor | Ionel, Eleny |
| Thesis advisor | Manolescu, Ciprian, 1978- |
| Degree committee member | Ionel, Eleny |
| Degree committee member | Manolescu, Ciprian, 1978- |
| Associated with | Stanford University, School of Humanities and Sciences |
| Associated with | Stanford University, Department of Mathematics |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Paul Falcone. |
|---|---|
| Note | Submitted to the Department of Mathematics. |
| Thesis | Thesis Ph.D. Stanford University 2023. |
| Location | https://purl.stanford.edu/dg687wp8728 |
Access conditions
- Copyright
- © 2023 by Paul William Falcone
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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