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math.AC2025

On codimension-two subcanonical varieties inside

Manoj Kummini, Abhiram Subramanian

Let be a codimension-two subcanonical local complete intersection variety with ideal sheaf . Let be such th…

math.AC2025

Maximal minors of -generic matrices have rational singularities

Trung Chau, Manoj Kummini

We show that the quotient ring by the ideal of maximal minors of a -generic matrix has rational singularities. This answers a conjecture of Eisenbud (1988) that such rings are n…

math.AC2025

Generators of top cohomology

Manoj Kummini, Mohit Upmanyu

Let be a commutative noetherian ring and a proper smooth morphism, of relative dimension . From Hartshorne, Residues and Duality, Springer, 1966,…

math.AC2025

Ramification in modular invariant rings

Manoj Kummini, Mandira Mondal

Let be a prime number, a field of characteristic and a finite -group acting on a standard graded polynomial ring as degree-pres…

math.AC2024

On polynomial invariant rings in modular invariant theory

Manoj Kummini, Mandira Mondal

Let be a field of characteristic , a finite-dimensional -vector-space, and a finite -group acting -linearly on . Let $S = \Sym V^*$. We sho…

math.AC2024

The non--rational locus of Rees algebras

Nirmal Kotal, Manoj Kummini

In this note, we give a description of the parameter test submodule of Rees algebras. This, in turn, describes the non--rational locus.