summary:We study the arithmetic properties of hyperelliptic curves given by the affine equation $y^2=x^n+a$ by exploiting the structure of the automorphism groups. We show that these curves satisfy Lang's conjecture about the covering radius (for some special covering maps)
We suggest an algorithm for finding the group of birational automorphisms of a hyperelliptic curve y...
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete log...
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete log...
summary:We study the arithmetic properties of hyperelliptic curves given by the affine equation $y^2...
summary:We study the arithmetic properties of hyperelliptic curves given by the affine equation $y^2...
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
Summary: "An algorithm for finding an automorphism group of a hyperelliptic curve y^2 = p(x) with pi...
In this article, we give a way of constructing an unramified Galois-cover of a hyperelliptic curve. ...
In this article, we give a way of constructing an unramified Galois cover of a hyperelliptic curve. ...
AbstractIt is well known that the number of unramified normal coverings of an irreducible complex al...
For a hyperelliptic curve C of genus g with a divisor class of order n=g+1, we shall consider an ass...
We study hyperelliptic curves y^2=f(x) over local fields of odd residue characteristic. We introduce...
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
AbstractWe consider double and (possibly) branched coverings π:X→X′ between real algebraic curves wh...
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
We suggest an algorithm for finding the group of birational automorphisms of a hyperelliptic curve y...
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete log...
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete log...
summary:We study the arithmetic properties of hyperelliptic curves given by the affine equation $y^2...
summary:We study the arithmetic properties of hyperelliptic curves given by the affine equation $y^2...
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
Summary: "An algorithm for finding an automorphism group of a hyperelliptic curve y^2 = p(x) with pi...
In this article, we give a way of constructing an unramified Galois-cover of a hyperelliptic curve. ...
In this article, we give a way of constructing an unramified Galois cover of a hyperelliptic curve. ...
AbstractIt is well known that the number of unramified normal coverings of an irreducible complex al...
For a hyperelliptic curve C of genus g with a divisor class of order n=g+1, we shall consider an ass...
We study hyperelliptic curves y^2=f(x) over local fields of odd residue characteristic. We introduce...
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
AbstractWe consider double and (possibly) branched coverings π:X→X′ between real algebraic curves wh...
We summarise recent advances in techniques for solving Diophantine problems on hyperelliptic curves;...
We suggest an algorithm for finding the group of birational automorphisms of a hyperelliptic curve y...
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete log...
The ideal class group of hyperelliptic curves can be used in cryptosystems based on the discrete log...
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