A family of reflexive vector bundles of reduction number one

Cleto B. Miranda-Neto ^[1]
1. [1] Universidade Federal da Paraíba
  
  Universidade Federal da Paraíba
  
  Brasil
Localización: Mathematica scandinavica, ISSN 0025-5521, Vol. 124, Nº 2, 2019, págs. 188-202
Idioma: inglés
Texto completo no disponible (Saber más ...)
Resumen
- A difficult issue in modern commutative algebra asks for examples of modules (more interestingly, reflexive vector bundles) having prescribed reduction number r≥1. The problem is even subtler if in addition we are interested in good properties for the Rees algebra. In this note we consider the case r=1. Precisely, we show that the module of logarithmic vector fields of the Fermat divisor of any degree in projective 3-space is a reflexive vector bundle of reduction number 1 and Gorenstein Rees ring.