Models of curves over discrete valuation rings
From MaRDI portal
Publication:821487
DOI10.1215/00127094-2020-0079zbMath1482.11088arXiv1807.00025OpenAlexW3188653121MaRDI QIDQ821487
Publication date: 20 September 2021
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1807.00025
Abelian varieties of dimension (> 1) (11G10) Special algebraic curves and curves of low genus (14H45) Curves over finite and local fields (11G20) Arithmetic ground fields (finite, local, global) and families or fibrations (14D10) Étale and other Grothendieck topologies and (co)homologies (14F20)
Related Items
On the arithmetic of a family of superelliptic curves ⋮ Galois representations of superelliptic curves ⋮ A user's guide to the local arithmetic of hyperelliptic curves ⋮ Root number of the Jacobian of \(y^2 = x^p+a\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Euler factors determine local Weil representations
- A generalization of Baker's theorem
- Toroidal embeddings. I
- Regulator constants and the parity conjecture
- Twists of \(X(7)\) and primitive solutions to \(x^2+y^3=z^7\)
- Stable reduction of curves and tame ramification
- La descente sur les variétés rationnelles. II. (The descent on rational varieties. II)
- On the stable reduction of pencils of curves
- Dual graphs of degenerating curves
- Newton polyhedra and toroidal varieties
- On the failure of semistability of elliptic curves with additive reduction
- Weights of exponential sums, intersection cohomology, and Newton polyhedra
- Variations of the mixed Hodge structure of affine hypersurfaces in algebraic tori
- Polyedres de Newton et nombres de Milnor
- Local constancy in \(p\)-adic families of Galois representations
- \(J_1(p)\) has connected fibers
- Elliptic fibers over non-perfect residue fields.
- Curves of every genus with many points. I: Abelian and toric families.
- The minimal regular model of a Fermat curve of odd squarefree exponent and its dualizing sheaf
- Models of curves and wild ramification
- On nondegeneracy of curves
- Good reduction of abelian varieties
- Empirical evidence for the Birch and Swinnerton-Dyer conjectures for modular Jacobians of genus 2 curves
- A remark on Tate's algorithm and Kodaira types
- COMPUTINGL-FUNCTIONS AND SEMISTABLE REDUCTION OF SUPERELLIPTIC CURVES
- Algorithm for determining the type of a singular fiber in an elliptic pencil
- Introduction to Toric Varieties. (AM-131)
- Computing zeta functions of nondegenerate curves
- Vanishing Cycles and Geometry of Curves Over a Discrete Valuation Ring
- Minimal requirements for Minkowski's theorem in the plane I
- Néron Models
- Invarianten der degenerierten Fasern in lokalen Familien von Kurven.
- Semistable types of hyperelliptic curves
- On elliptic curves with an isogeny of degree 7
- Modeles de neron et monodromie
- Compactifications of subvarieties of tori
- The Newton polygon of plane curves with many rational points