Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homological Projective Duality via Variation of Geometric Invariant
  Theory Quotients   We provide a geometric approach to constructing Lefschetz collections and
Landau-Ginzburg Homological Projective Duals from a variation of Geometric
Invariant Theory quotients. This approach yields homological projective duals
for Veronese embeddings in the setting of Landau Ginzburg models. Our results
also extend to a relative Homological Projective Duality framework.

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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: cmp-lg