Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Vector bundles whose restriction to a linear section is Ulrich   An Ulrich sheaf on an n-dimensional projective variety X, embedded in a
projective space, is a normalized ACM sheaf which has the maximum possible
number of global sections. Using a construction based on the representation
theory of Roby-Clifford algebras, we prove that every normal ACM variety admits
a reflexive sheaf whose restriction to a general 1-dimensional linear section
is Ulrich; we call such sheaves delta-Ulrich. In the case n=2, where
delta-Ulrich sheaves satisfy the property that their direct image under a
general finite linear projection is a semistable instanton bundle, we show that
some high Veronese embedding of X admits a delta-Ulrich sheaf with a global
section.

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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: gr-qc
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-lat