Y. Zarhin

activity

19962026

most citedVery simple 2-adic representations and hyperelliptic jacobians

45 citations · 259 across the 87 of their papers we have counts for

collaborators

Showing 2024Show all

5 papers · 1 filter

math.AG2024

Torsion points of small order on cyclic covers of $P^{1}$

Boris M. Bekker, Yuri G. Zarhin

Let $d \geq 2$ be a positive integer, $K$ an algebraically closed field of characteristic not dividing $d$ , $n \geq d + 1$ a positive integer that is prime to $d$ , $f (x) \in K [x]$ a deg…

math.NT2024

Comment on "On the squarefree density of polynomials"

Yuri G. Zarhin

This is an exposition of results of R.C. Vaughan and the author (Mathematika 70 (2024), no. 4). We discuss how often the squarefree values of an integral polynomial do occur. We di…

math.NT2024

Odd quadratic orders and real $j$ -invariants

Yuri G. Zarhin

Let $O$ be an order of odd discriminant $D$ in an imaginary quadratic field $K$ . Let $C l (O)$ be the group of proper $O$ -ideals and $C l (O) [2]$ the kernel of multiplication by $2$ in…

math.NT2024

Odd and Even Elliptic Curves with Complex Multiplication

Yuri G. Zarhin

We call an order $O$ in a quadratic field $K$ odd (resp. even) if its discriminant is an odd (resp. even) integer. We call an elliptic curve $E$ over the field $C$ of complex numbe…

math.NT2024

Non-isogenous superelliptic jacobians II

Yuri G. Zarhin

Let $ℓ$ be an odd prime and $K$ a field of characteristic different from $ℓ$ . Let $K ˉ$ be an algebraic closure of $K$ . Assume that $K$ contains a primitive $ℓ$ th root…

Torsion points of small order on cyclic covers of P1

Comment on "On the squarefree density of polynomials"

Odd quadratic orders and real j-invariants

Odd and Even Elliptic Curves with Complex Multiplication

Non-isogenous superelliptic jacobians II

Torsion points of small order on cyclic covers of $P^{1}$

Odd quadratic orders and real $j$ -invariants