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Translation surfaces: Dynamics and Hodge theory.
- Source :
- EMS Surveys in Mathematical Sciences; 2024, Vol. 11 Issue 1, p63-151, 89p
- Publication Year :
- 2024
-
Abstract
- A translation surface is a multifaceted object that can be studied with the tools of dynamics, analysis, or algebraic geometry. Moduli spaces of translation surfaces exhibit equally rich features. This survey provides an introduction to the subject and describes some developments that make use of Hodge theory to establish algebraization and finiteness statements in moduli spaces of translation surfaces. [ABSTRACT FROM AUTHOR]
- Subjects :
- HODGE theory
SURFACE dynamics
ALGEBRAIC geometry
Subjects
Details
- Language :
- English
- ISSN :
- 23082151
- Volume :
- 11
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- EMS Surveys in Mathematical Sciences
- Publication Type :
- Academic Journal
- Accession number :
- 177684814
- Full Text :
- https://doi.org/10.4171/EMSS/78