Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On associated graded modules of maximal Cohen-Macaulay modules over
  hypersurface rings   Let $(A,\mathfrak{m})$ be a hypersurface ring with dimension $d$, and $M$ a
MCM $A-$module with red$(M)\leq 2$ and $\mu(M)=2$ or $3$ then we have proved
that depth $G(M)\geq d-\mu(M)+1$. If $e(A)=3$ and $\mu(M)=4$ then in this case
we have proved that depth$G(M)\geq d-3$. Next we consider the case when
$e(M)=\mu(M)i(M)+1$ and prove that depth $G(M)\geq d-1$. When $A = Q/(f)$ where
$Q = k[[X_1,\cdots, X_{d+1}]]$ then we give estimates for $\depth G(M)$ in
terms of a minimal presentation of $M$. Our paper is the first systematic study
of depth of associated graded modules of MCM modules over hypersurface rings.

26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin