TY - JOUR
AU - Cleto Miranda-Neto
PY - 2019/06/17
Y2 - 2020/06/01
TI - A family of reflexive vector bundles of reduction number one
JF - MATHEMATICA SCANDINAVICA
JA - MathScand
VL - 124
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-111889
UR - https://www.mscand.dk/article/view/111889
AB - A difficult issue in modern commutative algebra asks for examples of modules (more interestingly, reflexive vector bundles) having prescribed reduction number $r\geq 1$. 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.
ER -