Add to ORKGThere are exactly nine reduced discriminants D of indefinite quaternion algebras over Q for which the Shimura curve XD attached to D has genus 3. We present equations for these nine curves. Moreover, for each D we determine a subgroup c(D) of cuspidal divisors of degree zero of the new part of the Jacobian of the modular curve of level D such that the abelian variety quotient by c(D) is the jacobian of the curve XD.Postprint (published version
AbstractWe determine the isogeny classes of supersingular abelian threefolds over F2n containing the...
An algebraic curve is a curve defined over by polynomial equations with coefficients in a given fiel...
An algebraic curve is a curve defined over by polynomial equations with coefficients in a given fiel...
There are exactly nine reduced discriminants D of indefinite quaternion algebras over Q for which th...
AbstractWe propose a conjectural explicit isogeny from the Jacobians of hyperelliptic Drinfeld modul...
Given an indefinite quaternion algebra of reduced discriminant D and an integer N relatively prime t...
We describe an algorithm that computes explicit models of hyperelliptic Shimura curves attached to a...
Let p and q be distinct primes. Consider the Shimura curve Xpq associated to the indefinite quaterni...
A Richelot isogeny between Jacobian varieties is an isogeny whose kernel is included in the $2$-tors...
AbstractIn this paper, we study some properties of parametrizations of elliptic curves by Shimura cu...
Let p and q be distinct primes. The new part of Jo(pq) (defined, according to one’s taste, as a quot...
We present a quasi-linear algorithm to compute isogenies between Jacobians of curvesof genus 2 and 3...
AbstractIn this paper, we study some properties of parametrizations of elliptic curves by Shimura cu...
For a class of non-hyperelliptic genus 3 curves C which are twofold coverings of elliptic curves E, ...
AbstractIn this paper, we study the Jacobian varieties of certain diagonal curves of genus four: we ...
AbstractWe determine the isogeny classes of supersingular abelian threefolds over F2n containing the...
An algebraic curve is a curve defined over by polynomial equations with coefficients in a given fiel...
An algebraic curve is a curve defined over by polynomial equations with coefficients in a given fiel...
There are exactly nine reduced discriminants D of indefinite quaternion algebras over Q for which th...
AbstractWe propose a conjectural explicit isogeny from the Jacobians of hyperelliptic Drinfeld modul...
Given an indefinite quaternion algebra of reduced discriminant D and an integer N relatively prime t...
We describe an algorithm that computes explicit models of hyperelliptic Shimura curves attached to a...
Let p and q be distinct primes. Consider the Shimura curve Xpq associated to the indefinite quaterni...
A Richelot isogeny between Jacobian varieties is an isogeny whose kernel is included in the $2$-tors...
AbstractIn this paper, we study some properties of parametrizations of elliptic curves by Shimura cu...
Let p and q be distinct primes. The new part of Jo(pq) (defined, according to one’s taste, as a quot...
We present a quasi-linear algorithm to compute isogenies between Jacobians of curvesof genus 2 and 3...
AbstractIn this paper, we study some properties of parametrizations of elliptic curves by Shimura cu...
For a class of non-hyperelliptic genus 3 curves C which are twofold coverings of elliptic curves E, ...
AbstractIn this paper, we study the Jacobian varieties of certain diagonal curves of genus four: we ...
AbstractWe determine the isogeny classes of supersingular abelian threefolds over F2n containing the...
An algebraic curve is a curve defined over by polynomial equations with coefficients in a given fiel...
An algebraic curve is a curve defined over by polynomial equations with coefficients in a given fiel...