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ISOPERIODIC MEROMORPHIC FORMS: TWO SIMPLE POLES
- Publication Year :
- 2022
- Publisher :
- HAL CCSD, 2022.
-
Abstract
- In this paper we prove that isoperiodic moduli spaces of meromorphic differentials with two simple poles on homologically marked smooth curves are non empty and connected, unless they correspond to double covers of $\mathbb{C}/\mathbb{Z}$ on curves of genus at least two. We deduce dynamical consequences for the corresponding isoperiodic foliation.
- Subjects :
- Mathematics - Complex Variables
meromorphic forms
53A30
isoperiodic differentials
32G13 Isoperiodic foliation
Dynamical Systems (math.DS)
[MATH] Mathematics [math]
57M50, 30F30, 53A30, 14H15, 32G13
30F30
2021. 2010 Mathematics Subject Classification. 57M50
Mathematics - Algebraic Geometry
FOS: Mathematics
Hodge bundle
14H15
Mathematics - Dynamical Systems
Complex Variables (math.CV)
Mathematics::Symplectic Geometry
Algebraic Geometry (math.AG)
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....39e04595f27327d2c8c5c1f14f7315f4