Cover Image

Genus formulas for dormant modular curves and asymptotic behavior of their function fields

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Aoyama, Kohei, Morita, Youhei, Wakabayashi, Yasuhiro
Format:	Preprint
Published:	2026
Subjects:	Algebraic Geometry Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Projective and affine structures in positive characteristic I: Chern class formulas and Characterizations of projective spaces
by: Wakabayashi, Yasuhiro
Published: (2020)

Duality for dormant opers of classical types B and C
by: Wakabayashi, Yasuhiro
Published: (2026)

The moduli space of dormant opers on elliptic curves
by: Karube, Naoka, et al.
Published: (2025)

The irreducibility of the moduli space of pointed stable curves with dormant $\mathrm{PGL}_2^{(N)}$-oper
by: Wakabayashi, Yasuhiro
Published: (2025)

Frobenius pull-back of parabolic bundles and dormant opers
by: Wakabayashi, Yasuhiro
Published: (2024)

Arithmetic liftings and 2d TQFT for dormant opers of higher level
by: Wakabayashi, Yasuhiro
Published: (2022)

Gaudin model modulo $p$, Tango structures, and dormant Miura opers
by: Wakabayashi, Yasuhiro
Published: (2019)

Isolated points on modular curves
by: Terao, Kenji
Published: (2024)

The modular automorphisms of quotient modular curves
by: Bars, Francesc, et al.
Published: (2025)

The generic étaleness of the moduli space of dormant $\mathfrak{so}_{2\ell}$-opers
by: Wakabayashi, Yasuhiro
Published: (2024)

Intersections of Hecke correspondences on modular curves
by: He, Qiao, et al.
Published: (2025)

Chevalley-Weil formula for hypersurfaces in $\mathbf{P}^n$-bundles over curves and Mordell-Weil ranks in function field towers
by: Kloosterman, Remke
Published: (2015)

Non-hyperelliptic modular curves of genus 3
by: González-Jiménez, Enrique, et al.
Published: (2026)

Higher Hida theory for Drinfeld modular curves
by: Salazar, Daniel Barrera, et al.
Published: (2025)

Toric ranks and component groups of modular curves
by: Helminck, Paul Alexander
Published: (2024)

A family of asymptotically bad wild towers of function fields
by: Chara, Maria, et al.
Published: (2025)

Rational points on the non-split Cartan modular curve of level 27 and quadratic Chabauty over number fields
by: Balakrishnan, Jennifer S., et al.
Published: (2025)

The Gross-Zagier formula on singular moduli for Shimura curves
by: Phillips, Andrew
Published: (2025)

Morphisms on the modular curve $X_0(p)$ and degree $6$ points
by: Derickx, Maarten, et al.
Published: (2025)

Height moduli on cyclotomic stacks and counting elliptic curves over function fields
by: Bejleri, Dori, et al.
Published: (2022)

Generalized hypergeometric equations and $2$d TQFT for dormant opers in characteristic $\leq 7$
by: Mori, Keita, et al.
Published: (2025)

On the cohomological dimension of Siegel modular varieties and the modularity of formal Siegel modular forms
by: Fan, Haocheng
Published: (2025)

Arithmetic of hyperelliptic curves over local fields
by: Dokchitser, Tim, et al.
Published: (2018)

Torsion groups of elliptic curves over quadratic fields
by: Kamienny, Sheldon, et al.
Published: (2011)

Classification of torsion of elliptic curves over quartic fields
by: Derickx, Maarten, et al.
Published: (2024)

Torsion of elliptic curves over cyclic cubic fields
by: Derickx, Maarten, et al.
Published: (2018)

The Absolute Anabelian Geometry of Virtual Curves of Arbitrary Genus
by: Sun, Zeming
Published: (2026)

On relative fields of definition for log pairs, Vojta's height inequalities and asymptotic coordinate size dynamics
by: Grieve, Nathan, et al.
Published: (2025)

Connections and Higgs bundles on curves defined over a number field
by: Biswas, Indranil, et al.
Published: (2025)

Torsion primes for elliptic curves over degree 8 number fields
by: Khawaja, Maleeha
Published: (2023)

Theta characteristics and noncongruence modular forms
by: Oh, Gyujin
Published: (2024)

Mixed mock modularity of special divisors
by: Engel, Philip, et al.
Published: (2023)

Complete flags on flat vector bundles in positive characteristic
by: Morita, Yohei, et al.
Published: (2025)

Riemann Hypothesis for Non-Abelian Zeta Functions of Genus 2 Curves
by: Zhan, Shi
Published: (2025)

Cyclotomic function fields over finite fields with irreducible quadratic modulus
by: Arakelian, Nazar, et al.
Published: (2023)

Just-likely intersections on Hilbert modular surfaces
by: G., Asvin, et al.
Published: (2022)

Construction and Applications of Trisections of Low Genus on Del Pezzo Surfaces of Degree One
by: Desjardins, Julie, et al.
Published: (2025)

Analog of theta-lifting for a curve over dual numbers over a finite field
by: Kazhdan, David, et al.
Published: (2025)

A Belyi-type criterion for vector bundles on curves defined over a number field
by: Biswas, Indranil, et al.
Published: (2025)

On the Beilinson-Bloch conjecture over function fields
by: Broe, Matt
Published: (2025)