Arakelov self-intersection numbers of minimal regular models of modular curves \(X_0(p^2)\)
DOI10.1007/s00209-020-02480-1zbMath1457.14060arXiv1710.10915OpenAlexW3009470630MaRDI QIDQ2205604
Debargha Banerjee, Diganta Borah, Chitrabhanu Chaudhuri
Publication date: 21 October 2020
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.10915
Forms of half-integer weight; nonholomorphic modular forms (11F37) Heights (11G50) Spectral theory; trace formulas (e.g., that of Selberg) (11F72) Arithmetic varieties and schemes; Arakelov theory; heights (14G40) Height functions; Green functions; invariant measures in arithmetic and non-Archimedean dynamical systems (37P30)
Related Items (1)
Cites Work
- Calculus on arithmetic surfaces
- Heegner points and derivatives of \(L\)-series
- Minimal resolution and stable reduction of \(X_ 0(N)\)
- Positivity and discretion of algebraic points of curves
- Points of small height on the modular curves \(X_0(N) \)
- Néron-Tate heights on algebraic curves and subgroups of the modular group
- Two theorems on modular curves
- Bounds for Green's functions on noncompact hyperbolic Riemann orbisurfaces of finite volume
- Bounds on Faltings's delta function through covers
- Self-intersection of the relative dualizing sheaf on modular curves \(X_{ 1 }(N)\)
- Das Eigenwertproblem der automorphen Formen in der hyperbolischen Ebene. I, II. (The eigenvalue problem of automorphic forms in the hyperbolic plane. I. II)
- Bounds for special values of Selberg zeta functions of Riemann surfaces
- Computational Aspects of Modular Forms and Galois Representations
- A note on the Eisenstein elements of prime square level
- Arithmetic Moduli of Elliptic Curves. (AM-108)
- Bounds on canonical Green's functions
- Lower bounds on the arithmetic self-intersection number of the relative dualizing sheaf on arithmetic surfaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Arakelov self-intersection numbers of minimal regular models of modular curves \(X_0(p^2)\)
