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Masur–Veech volumes and intersection theory on moduli spaces of Abelian differentials
- Source :
- Inventiones Mathematicae, Inventiones Mathematicae, Springer Verlag, 2020, 222 (1), pp.283-373. ⟨10.1007/s00222-020-00969-4⟩
- Publication Year :
- 2020
- Publisher :
- HAL CCSD, 2020.
-
Abstract
- We show that the Masur-Veech volumes and area Siegel-Veech constants can be obtained by intersection numbers on the strata of Abelian differentials with prescribed orders of zeros. As applications, we evaluate their large genus limits and compute the saddle connection Siegel-Veech constants for all strata. We also show that the same results hold for the spin and hyper-elliptic components of the strata.<br />Comment: 67 pages, 3 figures
- Subjects :
- Pure mathematics
medicine.medical_specialty
Mathematics::Dynamical Systems
General Mathematics
Mathematics::Number Theory
[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
Geometric topology
Algebraic geometry
01 natural sciences
Mathematics - Algebraic Geometry
Mathematics - Geometric Topology
Mathematics::Algebraic Geometry
Genus (mathematics)
0103 physical sciences
FOS: Mathematics
medicine
Number Theory (math.NT)
0101 mathematics
Abelian group
Algebraic Geometry (math.AG)
Saddle
Mathematics
Intersection theory
Mathematics - Number Theory
010102 general mathematics
Geometric Topology (math.GT)
Mathematics::Geometric Topology
Moduli space
Number theory
[MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG]
010307 mathematical physics
[MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG]
Subjects
Details
- Language :
- English
- ISSN :
- 00209910 and 14321297
- Database :
- OpenAIRE
- Journal :
- Inventiones Mathematicae, Inventiones Mathematicae, Springer Verlag, 2020, 222 (1), pp.283-373. ⟨10.1007/s00222-020-00969-4⟩
- Accession number :
- edsair.doi.dedup.....7bcf3538d3930fb9d37c02bf0d1832b1
- Full Text :
- https://doi.org/10.1007/s00222-020-00969-4⟩