The Rational Hull of Rudin's Klein Bottle
| Autor: | Anderson, John T., Gupta, Purvi, Stout, Edgar L. |
|---|---|
| Rok vydání: | 2018 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this note, a general result for determining the rational hulls of fibered sets in $\mathbb{C}^2$ is established. We use this to compute the rational hull of Rudin's Klein bottle, the first explicit example of a totally real nonorientable surface in $\mathbb{C}^2$. In contrast to its polynomial hull, which was shown to contain an open set by the first author in 2012, its rational hull is shown to be two-dimensional. Using the same method, we also compute the rational hulls of some other surfaces in $\mathbb{C}^2$. Comment: A new general result (Theorem 1.1) has been added following the referee's suggestions; references have been updated; to appear in Proc. Amer. Math. Soc |
| Databáze: | arXiv |
| Externí odkaz: |
|