Prashanth Sridhar

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math.AC2022

On The Integral Closure of Radical Towers in Mixed Characteristic

Daniel Katz, Prashanth Sridhar

We study the Cohen-Macaulay property of a particular class of radical extensions of an unramified regular local ring having mixed characteristic.

math.AC2021

Existence of birational small Cohen-Macaulay modules over biquadratic extensions in mixed characteristic

Prashanth Sridhar

Let $S$ be an unramified regular local ring of mixed characteristic two and $R$ the integral closure of $S$ in a biquadratic extension of its quotient field obtained by adjoining r…

math.AC2021

On the existence of birational maximal Cohen-Macaulay modules over biradical extensions in mixed characteristic

Prashanth Sridhar

Let $S$ be an unramified regular local ring of mixed characteristic $p \geq 3$ and $S^{p}$ the subring of $S$ obtained by lifting to $S$ the image of the Frobenius map on $S / pS$ . Let…

math.AC2021

On reflexive and $I$ -Ulrich modules over curve singularities

Hailong Dao, Sarasij Maitra, Prashanth Sridhar

We study reflexive modules over one dimensional Cohen-Macaulay rings. Our key technique exploits the concept of $I$ -Ulrich modules.

On The Integral Closure of Radical Towers in Mixed Characteristic

Existence of birational small Cohen-Macaulay modules over biquadratic extensions in mixed characteristic

On the existence of birational maximal Cohen-Macaulay modules over biradical extensions in mixed characteristic

On reflexive and I-Ulrich modules over curve singularities

On reflexive and $I$ -Ulrich modules over curve singularities