AbstractWe apply classical invariant theory of binary forms to explicitly characterize isomorphism classes of hyperelliptic curves of small genus and, conversely, propose algorithms for reconstructing hyperelliptic models from given invariants. We focus on genus 3 hyperelliptic curves. Both geometric and arithmetic aspects are considered
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
International audienceIn this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, an...
International audienceThis paper is devoted to the study of the Galois descent obstruction for hyper...
AbstractWe apply classical invariant theory of binary forms to explicitly characterize isomorphism c...
Related numeric data and programs are available on the web pages of the authorsInternational audienc...
Related numeric data and programs are available on the web pages of the authorsInternational audienc...
AbstractIn this paper we classify hyperelliptic curves of genus 3 defined over a finite field k of e...
Cette thèse traite de plusieurs aspects algorithmiques des courbes algébriques. La première partie d...
L'objet de cette thèse est une description effective des espaces de modules des courbes hyper- ellip...
AbstractIn this paper we present a direct method to compute the number of isomorphism classes of hyp...
<div><p>In 1967, Shioda [<a href="#CIT0020" target="_blank">20</a>] determined the ring of invariant...
AbstractLet k be a finite field of even characteristic. We obtain in this paper a complete classific...
International audienceWe show how to speed up the computation of isomorphisms of hyperelliptic curve...
International audienceWe show how to speed up the computation of isomorphisms of hyperelliptic curve...
For families of elliptic and genus 2 hyper-elliptic curves over an algebraically closed field k of c...
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
International audienceIn this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, an...
International audienceThis paper is devoted to the study of the Galois descent obstruction for hyper...
AbstractWe apply classical invariant theory of binary forms to explicitly characterize isomorphism c...
Related numeric data and programs are available on the web pages of the authorsInternational audienc...
Related numeric data and programs are available on the web pages of the authorsInternational audienc...
AbstractIn this paper we classify hyperelliptic curves of genus 3 defined over a finite field k of e...
Cette thèse traite de plusieurs aspects algorithmiques des courbes algébriques. La première partie d...
L'objet de cette thèse est une description effective des espaces de modules des courbes hyper- ellip...
AbstractIn this paper we present a direct method to compute the number of isomorphism classes of hyp...
<div><p>In 1967, Shioda [<a href="#CIT0020" target="_blank">20</a>] determined the ring of invariant...
AbstractLet k be a finite field of even characteristic. We obtain in this paper a complete classific...
International audienceWe show how to speed up the computation of isomorphisms of hyperelliptic curve...
International audienceWe show how to speed up the computation of isomorphisms of hyperelliptic curve...
For families of elliptic and genus 2 hyper-elliptic curves over an algebraically closed field k of c...
My research involves answering various number-theoretic questions involving hyperelliptic curves. A ...
International audienceIn this article we prove an analogue of a theorem of Lachaud, Ritzenthaler, an...
International audienceThis paper is devoted to the study of the Galois descent obstruction for hyper...
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