2024/08/04 by Lin, Kuei-Nuan, Shen, Yi-Huang
#13A30 #13P10 #14M12 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13C40 #Secondary 14N07
paper · doi:10.48550/arxiv.2408.01903
We study the blowup algebras of the modules that are direct sums of ideals generated by either maximal minors of a ladder matrix or unit interval determinantal ideals. Specifically, we determine Gröbner bases for the presentation ideals of multi-Rees algebras and their special fiber rings. Our analysis reveals that the multi-blowup algebras are Koszul Cohen--Macaulay normal domains, possess rational singularities in characteristic zero, and are F-rational in positive characteristic.