2025/06/10 by Trung Chau, Chau, Trung, Manoj Kummini +1
Mathematics · Computer Science · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #Advanced Topics in Algebra
paper · pdf · doi:10.48550/arxiv.2506.08385
We show that the quotient ring by the ideal of maximal minors of a 1-generic matrix has rational singularities. This answers a conjecture of Eisenbud (1988) that such rings are normal, and generalizes a result of Conca, Mostafazadehfard, Singh and Varbaro (2018) that generic Hankel determinantal rings have rational singularities in characteristic zero.