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 | |
| Publication status | Published - Apr 1 2018 |
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Keywords
- Holomorphic disc
- Polynomial hull
- Totally real torus
ASJC Scopus subject areas
- Mathematics(all)
Cite this
Polynomial hull of a torus fibered over the circle. / Duval, Julien; Lawrence Gordon, Mark.
In: International Journal of Mathematics, Vol. 29, No. 4, 1850031, 01.04.2018.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Polynomial hull of a torus fibered over the circle
AU - Duval, Julien
AU - Lawrence Gordon, Mark
PY - 2018/4/1
Y1 - 2018/4/1
N2 - 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.
AB - 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.
KW - Holomorphic disc
KW - Polynomial hull
KW - Totally real torus
UR - http://www.scopus.com/inward/record.url?scp=85045089929&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85045089929&partnerID=8YFLogxK
U2 - 10.1142/S0129167X18500313
DO - 10.1142/S0129167X18500313
M3 - Article
AN - SCOPUS:85045089929
VL - 29
JO - International Journal of Mathematics
JF - International Journal of Mathematics
SN - 0129-167X
IS - 4
M1 - 1850031
ER -