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Totally geodesic subvarieties in the moduli space of curves.
- Source :
- Communications in Contemporary Mathematics; May2021, Vol. 23 Issue 3, pN.PAG-N.PAG, 13p
- Publication Year :
- 2021
-
Abstract
- In this paper, we study totally geodesic subvarieties Y ⊂ A g of the moduli space of principally polarized abelian varieties with respect to the Siegel metric, for g ≥ 4. We prove that if Y is generically contained in the Torelli locus, then dim Y ≤ (7 g − 2) / 3. [ABSTRACT FROM AUTHOR]
- Subjects :
- ABELIAN varieties
CURVES
SPACE
Subjects
Details
- Language :
- English
- ISSN :
- 02191997
- Volume :
- 23
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Communications in Contemporary Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 148750152
- Full Text :
- https://doi.org/10.1142/S0219199720500200