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The boundary of linear subvarieties.
- Source :
-
Journal of the European Mathematical Society (EMS Publishing) . 2023, Vol. 25 Issue 11, p4521-4582. 62p. - Publication Year :
- 2023
-
Abstract
- We describe the boundary of linear subvarieties in the moduli space of multi-scale differentials. Linear subvarieties are algebraic subvarieties of strata of (possibly) meromorphic differentials that in local period coordinates are given by linear equations. The main example of such are affine invariant submanifolds, that is, closures of SL(2, R)-orbits. We prove that the boundary of any linear subvariety is again given by linear equations in generalized period coordinates of the boundary. Our main technical tool is an asymptotic analysis of periods near the boundary of the moduli space of multi-scale differentials which yields further techniques and results of independent interest. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGEBRA
*MATHEMATICS
*LINEAR equations
*ABELIAN groups
*GROUP theory
*ORBIT method
Subjects
Details
- Language :
- English
- ISSN :
- 14359855
- Volume :
- 25
- Issue :
- 11
- Database :
- Academic Search Index
- Journal :
- Journal of the European Mathematical Society (EMS Publishing)
- Publication Type :
- Academic Journal
- Accession number :
- 173442418
- Full Text :
- https://doi.org/10.4171/JEMS/1287