Manoj Kummini

collaborators

4 papers

math.AC2025

On codimension-two subcanonical varieties inside $P^{n}$

Manoj Kummini, Abhiram Subramanian

Let $X \subseteq P^{n}, n \geq 4$ be a codimension-two subcanonical local complete intersection variety with ideal sheaf $I_{X}$ . Let $a_{X} \in Z$ be such th…

math.AC2025

Maximal minors of $1$ -generic matrices have rational singularities

Trung Chau, Manoj Kummini

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 n…

math.AC2025

Generators of top cohomology

Manoj Kummini, Mohit Upmanyu

Let $R$ be a commutative noetherian ring and $f : X \to Spec R$ a proper smooth morphism, of relative dimension $n$ . From Hartshorne, Residues and Duality, Springer, 1966,…

math.AC2025

Ramification in modular invariant rings

Manoj Kummini, Mandira Mondal

Let $p$ be a prime number, $k$ a field of characteristic $p$ and $G$ a finite $p$ -group acting on a standard graded polynomial ring $S = k [x_{1}, \dots, x_{n}]$ as degree-pres…

On codimension-two subcanonical varieties inside Pn

Maximal minors of 1-generic matrices have rational singularities

Generators of top cohomology

Ramification in modular invariant rings

On codimension-two subcanonical varieties inside $P^{n}$

Maximal minors of $1$ -generic matrices have rational singularities