✦ LIBER ✦

Bordered Riemann surfaces in

✍ Scribed by Franc Forstnerič; Erlend Fornæss Wold

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 325 KB
Volume: 91
Category: Article
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2008.09.010

No coin nor oath required. For personal study only.

✦ Synopsis

We prove that the interior of any compact complex curve with smooth boundary in C 2 admits a proper holomorphic embedding into C 2 . In particular, if D is a bordered Riemann surface whose closure admits a holomorphic embedding into C 2 , then D admits a proper holomorphic embedding into C 2 .

📜 SIMILAR VOLUMES

Quasilinear-equation on bordered Riemann

Quasilinear-equation on bordered Riemann surfaces

✍ Miran Černe; Manuel Flores 📂 Article 📅 2006 🏛 Springer 🌐 English ⚖ 236 KB

Indefinite Hardy Spaces on Finite Border

Indefinite Hardy Spaces on Finite Bordered Riemann Surfaces

✍ Daniel Alpay; Victor Vinnikov 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 212 KB

It is well known that one may study Hardy spaces with the domain a finite bordered Riemann surface rather than the unit disk. However, for domains with more than one boundary component it is natural to consider, besides the usual positive definite inner product on H 2 , indefinite inner products obt

The Selberg trace formula for bordered R

The Selberg trace formula for bordered Riemann surfaces

✍ J. Bolte; F. Steiner 📂 Article 📅 1993 🏛 Springer 🌐 English ⚖ 804 KB

Dirichlet solutions on bordered Riemann

Dirichlet solutions on bordered Riemann surfaces and quasiconformal mappings

✍ Hiroshige Shiga 📂 Article 📅 2004 🏛 Springer-Verlag 🌐 English ⚖ 722 KB

Simple geodesics and Weil-Petersson volu

Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces

✍ Maryam Mirzakhani 📂 Article 📅 2006 🏛 Springer-Verlag 🌐 English ⚖ 611 KB

Graded Riemann surfaces

✍ M. Batchelor; P. Bryant 📂 Article 📅 1988 🏛 Springer 🌐 English ⚖ 791 KB