Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Projectivity of the Witt vector affine Grassmannian   We prove that the Witt vector affine Grassmannian, which parametrizes
W(k)-lattices in W(k)[1/p]^n for a perfect field k of charactristic p, is
representable by an ind-(perfect scheme) over k. This improves on previous
results of Zhu by constructing a natural ample line bundle. Along the way, we
establish various foundational results on perfect schemes, notably h-descent
results for vector bundles.

20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th