Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some elementary examples of non-liftable schemes   We present some simple examples of smooth projective varieties in positive
characteristic, arising from linear algebra, which do not admit a lifting
neither to characteristic zero, nor to the ring of second Witt vectors. Our
first construction is the blow-up of the graph of the Frobenius morphism of a
homogeneous space. The second example is a blow-up of $\mathbb{P}^3$ in a
'purely characteristic-$p$' configuration of points and lines.

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The categories of this paper are: plasm-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: econ
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: eess