Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grassmannian of $k((z))$: Picard Group, Equations and Automorphisms   This paper aims at generalizing some geometric properties of Grassmannians of
finite dimensional vector spaces to the case of Grassmannnians of infinite
dimensional ones, in particular for that of $k((z))$. It is shown that the
Determinant Line Bundle generates its Picard Group and that the Pl\"ucker
equations define it as closed subscheme of a infinite projective space.
Finally, a characterization of finite dimensional projective spaces in
Grassmannians allows us to offer an approach to the study of the automorphism
group.

26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom