The Torelli locus and special subvarieties
By B. Moonen, Frans Oort. 2011
115 citations recorded by the source corpus.
We study the Torelli locus Tg in the moduli space Ag of abelian varieties. We consider special subvarieties (Shimura subvarieties) contained in the Torelli locus. We review the construction of some non-trivial examples, and we discuss some conjectures, techniques and recent progress.
Subfields: Artificial Intelligence, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/9a1e2d48a06ac7502702ce5a635164e0c2f79c35
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In Geometry and Topology
- Bruno Klingler
- E. Ullmo
- Paola Porru
- P. Frediani
- Matteo Penegini
- G. Baldi
- Jacob Tsimerman
- Jonathan Pila
In Mathematical Physics
- Bruno Klingler
- E. Ullmo
- P. Frediani
- Matteo Penegini
- G. Baldi
- Jacob Tsimerman
- Jonathan Pila
- Ziyang Gao
Citations in the corpus
- Shimura varieties in the Torelli locus via Galois coverings of elliptic curves (2014, background): “More precisely: (1) gives the same subvariety as family (26) of Table 2 in [13] (this family was already found in [29]).”
- On the distribution of the Hodge locus (2021, background): “This can indeed be observed by using the fact that T g is not special and that the fundamental group of M g surjects onto the one of A g , see for example [43, Remark 4.5].”