Explicit Vologodsky integration for hyperelliptic curves (Q5097380)

scientific article; zbMATH DE number 7574507

Language	Label	Description	Also known as
English	Explicit Vologodsky integration for hyperelliptic curves	scientific article; zbMATH DE number 7574507

Statements

instance of

scholarly article

0 references

title

Explicit Vologodsky integration for hyperelliptic curves (English)

0 references

author

Enis Kaya

0 references

published in

Mathematics of Computation

0 references

publication date

23 August 2022

0 references

full work available at URL

https://arxiv.org/abs/2008.03774

0 references

zbMATH Keywords

$p$-adic integral

0 references

Berkovich-Coleman integral

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Q2949485

0 references

Coleman integration for even-degree models of hyperelliptic curves

0 references

Computing Local p-adic Height Pairings on Hyperelliptic Curves

0 references

Explicit quadratic Chabauty over number fields

0 references

Explicit Coleman Integration for Hyperelliptic Curves

0 references

Quadratic Chabauty: $p$-adic heights and integral points on hyperelliptic curves

0 references

Computing integral points on hyperelliptic curves using quadratic Chabauty

0 references

The Magma algebra system. I: The user language

0 references

Quadratic Chabauty and rational points. I: $p$-adic heights

0 references

Quadratic Chabauty and Rational Points II: Generalised Height Functions on Selmer Varieties

0 references

Explicit Chabauty-Kim for the split Cartan modular curve of level 13

0 references

Q3998951

0 references

Integration of One-forms on P-adic Analytic Spaces. (AM-162)

0 references

Coleman integration using the Tannakian formalism

0 references

Q4664211

0 references

$p$-adic Arakelov theory

0 references

$p$-adic heights and Vologodsky integration

0 references

Explicit Coleman integration in larger characteristic

0 references

Metric properties of the tropical Abel-Jacobi map

0 references

Q3325851

0 references

Quadratic Chabauty for (bi)elliptic curves and Kim's conjecture

0 references

A $p$-adic analogue of the conjecture of Birch and Swinnerton-Dyer for modular abelian varieties

0 references

On the structure of non-archimedean analytic curves

0 references

The Skeleton of the Jacobian, the Jacobian of the Skeleton, and Lifting Meromorphic Functions From Tropical to Algebraic Curves: Fig. 1.

0 references

Explicit Coleman integration for curves

0 references

Vologodsky integration on curves with semi-stable reduction

0 references

$p$-adic regulators on curves and special values of $p$-adic $L$-functions

0 references

Q3972987

0 references

Uniformity of rational points

0 references

Q3800158

0 references

Dilogarithms, regulators and $p$-adic $L$-functions

0 references

Effective Chabauty

0 references

Torsion points on curves and p-adic abelian integrals

0 references

Q4212488

0 references

Rigid analytic geometry and its applications

0 references

Kedlaya's Algorithm in Larger Characteristic

0 references

An extension of Kedlaya's algorithm for hyperelliptic curves

0 references

Computing Néron-Tate heights of points on hyperelliptic Jacobians

0 references

Q4542306

0 references

The motivic fundamental group of $\mathbf P^1\setminus\{0,1,\infty\}$ and the theorem of Siegel

0 references

The unipotent Albanese map and Selmer varieties for curves

0 references

Massey products for elliptic curves of rank 1

0 references

<i>p</i>-adic Integration on Bad Reduction Hyperelliptic Curves

0 references

Uniform bounds for the number of rational points on curves of small Mordell-Weil rank

0 references

Diophantine and tropical geometry, and uniformity of rational points on curves

0 references

The Chabauty–Coleman bound at a prime of bad reduction and Clifford bounds for geometric rank functions

0 references

Thue equations and the method of Chabauty-Coleman.

0 references

Q4981689

0 references

On $p$-adic analogues of the conjectures of Birch and Swinnerton-Dyer

0 references

Computing canonical heights using arithmetic intersection theory

0 references

Q3533399

0 references

Solving discrete zero point problems

0 references

Q4249394

0 references

Independence of rational points on twists of a given curve

0 references

Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank

0 references

Algorithms for the arithmetic of elliptic curves using Iwasawa theory

0 references

Counting points on curves using a map to $\mathbf {P}^1$

0 references

Counting points on curves using a map to $\mathbf P^1$. II.

0 references

Explicit arithmetic intersection theory and computation of Néron-Tate heights

0 references

Q4463627

0 references

$p$-adic abelian integrals and commutative Lie groups

0 references

Identifiers

DOI

10.1090/mcom/3720

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:5097380