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Pré-Publication, Document De Travail Année : 2024

Covariant reconstruction of forms from their invariants

Thomas Bouchet
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Résumé

Let $K$ be an algebraically closed field of characteristic $0$ and $f$ be a homogeneous polynomial. We provide an explicit algorithm, which, given the invariants of a generic $f$ under the action of $\mathrm{GL}_n(K)$ returns a polynomial in the orbit of $f$. We derive a specific algorithm for the reconstruction of generic non-hyperelliptic curve of genus 4 from their invariants, as well as a direct reconstruction algorithm for generic non-hyperelliptic curves of genus 3 from their Dixmier-Ohno invariants.
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Licence : CC BY - Paternité

Dates et versions

hal-04520832 , version 1 (25-03-2024)
hal-04520832 , version 2 (26-03-2024)

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Paternité

Identifiants

  • HAL Id : hal-04520832 , version 2

Citer

Thomas Bouchet. Covariant reconstruction of forms from their invariants. 2024. ⟨hal-04520832v2⟩
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