Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Algebras with irreducible module varieties I   We call a finite-dimensional K-algebra A geometrically irreducible if for all
d, all connected components of the affine scheme of d-dimensional A-modules are
irreducible. We show that the geometrically irreducible algebras without loops
(this includes all algebras of finite global dimension) are the hereditary
algebras. We also show that truncated polynomial rings are the only
geometrically irreducible local algebras. Finally, we formulate a conjectural
classification of all geometrically irreducible algebras.

9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
19
The categories of this paper are: eess
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom