AbstractCounterexamples to the Hasse Principle are constructed for curves of genus 2 to 7. These have the property that their Jacobian splits as a product of elliptic curves, all of positive rational rank
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
In this thesis we study genus one curves of degree n embedded in projective space P n−1 . We are spe...
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
AbstractCounterexamples to the Hasse Principle are constructed for curves of genus 2 to 7. These hav...
A simplified method of descent via isogeny is given for Jacobians of curves of genus 2. This method ...
We suggest that the following plan will provide a powerful tool for trying to find the set of Q-rati...
We give an infinite family of curves of genus 2 whose Jacobians have non-trivial members of the Tate...
The original publication is available at www.springerlink.comInternational audienceLet C be a curve ...
We shall discuss the idea of finding all rational points on a curve C by first finding an associated...
In [19], Manin introduced a way to explain the failure of the Hasse principle for algebraic varietie...
On the one hand, it is well-known that Jacobians of (hyper)elliptic curves defined over $\Q$ having ...
We present an explicit model of the Jacobian variety, and give a set of quadratic defining equations...
AbstractConsider a curve of genus one over a field K in one of three explicit forms: a double cover ...
peer reviewedOn the one hand, it is well-known that Jacobians of (hyper)elliptic curves defined over...
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
In this thesis we study genus one curves of degree n embedded in projective space P n−1 . We are spe...
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
AbstractCounterexamples to the Hasse Principle are constructed for curves of genus 2 to 7. These hav...
A simplified method of descent via isogeny is given for Jacobians of curves of genus 2. This method ...
We suggest that the following plan will provide a powerful tool for trying to find the set of Q-rati...
We give an infinite family of curves of genus 2 whose Jacobians have non-trivial members of the Tate...
The original publication is available at www.springerlink.comInternational audienceLet C be a curve ...
We shall discuss the idea of finding all rational points on a curve C by first finding an associated...
In [19], Manin introduced a way to explain the failure of the Hasse principle for algebraic varietie...
On the one hand, it is well-known that Jacobians of (hyper)elliptic curves defined over $\Q$ having ...
We present an explicit model of the Jacobian variety, and give a set of quadratic defining equations...
AbstractConsider a curve of genus one over a field K in one of three explicit forms: a double cover ...
peer reviewedOn the one hand, it is well-known that Jacobians of (hyper)elliptic curves defined over...
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
In this thesis we study genus one curves of degree n embedded in projective space P n−1 . We are spe...
We prove the Hasse-Weil inequality for genus 2 curves given by an equation of the form y(2) = f(x) w...
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