On smooth plane models for modular curves of Shimura type
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Publication:2696576
DOI10.1007/s40993-022-00409-7OpenAlexW4226310190MaRDI QIDQ2696576
Samuele Anni, Eran Assaf, Elisa Lorenzo García
Publication date: 14 April 2023
Published in: Research in Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2203.06370
Special algebraic curves and curves of low genus (14H45) Holomorphic modular forms of integral weight (11F11) Arithmetic aspects of modular and Shimura varieties (11G18) Modular and Shimura varieties (14G35)
Uses Software
Cites Work
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- Tetrahedral elliptic curves and the local-global principle for isogenies
- Dimensions of the spaces of cusp forms and newforms on \(\Gamma_0(N)\) and \(\Gamma_1(N)\)
- Normalizers of non-split Cartan subgroups, modular curves, and the class number one problem
- Koszul cohomology and the geometry of projective varieties. Appendix: The nonvanishing of certain Koszul cohomology groups (by Mark Green and Robert Lazarsfeld)
- Non-hyperelliptic modular curves of genus 3
- Quotient curves of smooth plane curves with automorphisms
- The Lüroth semigroup of plane algebraic curves
- Hyperelliptic quotients of modular curves \(X_0(N)\)
- The Magma algebra system. I: The user language
- On a simple model of \(X_0(N)\)
- Double covers of Cartan modular curves
- Trigonal modular curves \(X_0^{+d}(N)\)
- Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois
- Computing models for quotients of modular curves
- Elliptic curves over totally real cubic fields are modular
- The gonality of smooth curves with plane models
- On embeddings of modular curves in projective spaces
- Gonality of modular curves in characteristic \(p\)
- Galois properties of points of finite order of elliptic curves
- Bielliptic and hyperelliptic modular curves X(N) and the group \mathrm Aut(X(N))
- Equations for the modular curve 𝑋₁(𝑁) and models of elliptic curves with torsion points
- A standard basis approach to syzygies of canonical curves.
- Finiteness results for modular curves of genus at least 2
- A spectral proof of Rademacher's conjecture for congruence subgroups of the modular group.
- Hyperelliptic modular curves $X*_0(N)$
- The Geometry of Syzygies
- On twists of smooth plane curves
- Functoriality for the exterior square of 𝐺𝐿₄ and the symmetric fourth of 𝐺𝐿₂
- Congruence Subgroups of PSL(2, Z) of Genus Less than or Equal to 24
- Statistics of subgroups of the modular group
- Modular curves of composite level
- Elliptic functions and equations of modular curves
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