A. Tripathi

activity

20132024

most citedSplitting of low rank ACM bundles on hypersurfaces of high dimension

3 citations · 4 across the 7 of their papers we have counts for

collaborators

9 papers

math.AC2024

Quasilifting of hulls and depth of tensor product of modules

Sutapa Dey, Amit Tripathi

We investigate the depth of the tensor product of finitely generated modules over local rings. One of the main ingredients of our approach is a lifting construction introduced by H…

math.AC2023

On Auslander`s depth formula

Shashi Ranjan Sinha, Amit Tripathi

We show that if Auslander`s depth formula holds for non-zero Tor-independent modules over Cohen-Macaulay local rings of dimension 1, then it holds for such modules over any Cohen-M…

math.CO2022

2-semi-equivelar maps on the torus and Klein bottle with few vertices

Anand Kumar Tiwari, Yogendra Singh, Amit Tripathi

The $k$ -semi equivelar maps, for $k \geq 2$ , are generalizations of maps on the surfaces of Johnson solids to closed surfaces other than the 2-sphere. In the present study, we dete…

math.NT2020

On proportionally modular numerical semigroups that are generated by arithmetic progressions

Edgar Federico Elizeche, Amitabha Tripathi

A numerical semigroup is a submonoid of $Z_{\geq 0}$ whose complement in $Z_{\geq 0}$ is finite. For any set of positive integers $a, b, c$ , the numerical semigroup…

math.AG2020

Rank 2 Ulrich bundles on general double plane covers

Ronnie Sebastian, Amit Tripathi

We prove that a double cover of $P^{2}$ ramified along a general smooth curve B of degree $2 s$ , for $s \geq 3$ , supports a rank 2 special Ulrich bundle.

math.AG2015

Rank 3 arithmetically Cohen-Macaulay bundles on hypersurfaces

Amit Tripathi

Let $X$ be a smooth projective hypersurface of dimension $\geq 5$ and let $E$ be an arithmetically Cohen-Macaulay bundle on $X$ of any rank. We prove that $E$ splits as a direct su…