Polynomial hull of a torus fibered over the circle

Julien Duval; Mark Lawrence

doi:10.1142/S0129167X18500313

Polynomial hull of a torus fibered over the circle

Julien Duval, Mark Lawrence

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Given a 2-sheeted torus over the circle with winding number 1, we prove that its polynomial hull is a union of 2-sheeted holomorphic discs. Moreover, when the hull is nondegenerate its boundary is a Levi-flat solid torus foliated by such discs.

Original language	English
Article number	1850031
Journal	International Journal of Mathematics
Volume	29
Issue number	4
DOIs	https://doi.org/10.1142/S0129167X18500313
Publication status	Published - Apr 1 2018

Keywords

Holomorphic disc
Polynomial hull
Totally real torus

ASJC Scopus subject areas

Mathematics(all)

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10.1142/S0129167X18500313

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title = "Polynomial hull of a torus fibered over the circle",

abstract = "Given a 2-sheeted torus over the circle with winding number 1, we prove that its polynomial hull is a union of 2-sheeted holomorphic discs. Moreover, when the hull is nondegenerate its boundary is a Levi-flat solid torus foliated by such discs.",

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Polynomial hull of a torus fibered over the circle

Abstract

Keywords

ASJC Scopus subject areas

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