EQUATIONS OF SOME EMBEDDINGS OF A PROJECTIVE SPACE INTO ANOTHER ONE - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2022

EQUATIONS OF SOME EMBEDDINGS OF A PROJECTIVE SPACE INTO ANOTHER ONE

Résumé

In [8], Eisenbud, Huneke and Ulrich conjectured a result on the Castelnuovo-Mumford regularity of the embedding of a projective space P n−1 ֒→ P r−1 determined by generators of a linearly presented m-primary ideal. This result implies in particular that the image is scheme defined by equations of degree at most n. In this text we prove that the ideal of maximal minors of the Jacobian dual matrix associated to the input ideal defines the image as a scheme; it is generated in degree n. Showing that this ideal has a linear resolution would imply that the conjecture in [8] holds. Furthermore, if this ideal of minors coincides with the one of the image in degree n-what we hope to be true-the linearity of the resolution of this ideal of maximal minors is equivalent to the conjecture in [8].
Fichier principal
Vignette du fichier
2012.05681.pdf (163.11 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03364431 , version 1 (04-10-2021)

Identifiants

  • HAL Id : hal-03364431 , version 1

Citer

Marc Chardin, Navid Nemati. EQUATIONS OF SOME EMBEDDINGS OF A PROJECTIVE SPACE INTO ANOTHER ONE. Proceedings of the American Mathematical Society, In press. ⟨hal-03364431⟩
10 Consultations
44 Téléchargements

Partager

Gmail Facebook X LinkedIn More