Infinitely many Shimura varieties in the Jacobian locus for $g \leq 4$
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Publication:5037188
DOI10.2422/2036-2145.201910_009zbMath1494.14024arXiv1910.13245OpenAlexW3128489555MaRDI QIDQ5037188
Irene Spelta, Paola Frediani, Alessandro Ghigi
Publication date: 28 February 2022
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1910.13245
Jacobians, Prym varieties (14H40) Modular and Shimura varieties (14G35) Families, moduli of curves (analytic) (14H15)
Related Items (max. 100)
Shimura curves in the Prym loci of ramified double covers ⋮ Higher dimensional Shimura varieties in the Prym loci of ramified double covers ⋮ Unnamed Item ⋮ Shimura subvarieties via endomorphisms ⋮ Symmetric spaces uniformizing Shimura varieties in the Torelli locus ⋮ The fibers of the ramified Prym map
Cites Work
- On the group algebra decomposition of a Jacobian variety
- Shimura varieties in the Torelli locus via Galois coverings of elliptic curves
- On threefolds isogenous to a product of curves
- Special subvarieties arising from families of cyclic covers of the projective line
- Jacobians with group actions and rational idempotents
- Explicit formulas for infinitely many Shimura curves in genus \(4\)
- On Shimura subvarieties generated by families of abelian covers of \(\mathbb{P}^1\)
- Curvatures of moduli space of curves and applications
- The Oort conjecture on Shimura curves in the Torelli locus of curves
- On some differential-geometric aspects of the Torelli map
- On the bielliptic and bihyperelliptic loci
- Group actions on Jacobian varieties
- A note of Shimura's paper: Discontinuous groups and Abelian varieties
- Shimura Curves within the Locus of Hyperelliptic Jacobians in Genus 3: Table 1.
- The Torelli locus and special subvarieties
- Shimura Varieties in the Torelli Locus via Galois Coverings
- On a conjecture of Xiao.
- Shimura curves in the Prym locus
- On the geometry of the second fundamental form of the Torelli map
- Totally geodesic subvarieties in the moduli space of curves
- On totally geodesic submanifolds in the Jacobian locus
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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