Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extendability of quadratic modules over a polynomial extension of an
  equicharacteristic regular local ring   We prove that a quadratic $A[T]$-module $Q$ with Witt index ($Q/TQ$)$ \geq
d$, where $d$ is the dimension of the equicharacteristic regular local ring
$A$, is extended from $A$. This improves a theorem of the second named author
who showed it when $A$ is the local ring at a smooth point of an affine variety
over an infinite field. To establish our result, we need to establish a
Local-Global Principle (of Quillen) for the Dickson--Siegel--Eichler--Roy
(DSER) elementary orthogonal transformations.

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The categories of this paper are: cs
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
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The categories of this paper are: hep-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga