Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From coherent sheaves to curves in {\bf P}^3   This paper is the text of a lecture given at the Catania conference on
Commutative Algebra and Algebraic Geometry, in honor of the 60th birthday of
Silvio Greco. It analyses the correspondences between equivalence classes of
objects related to the projective 3-space ${\bf P}^3_k$ over a field $k$ : -
vector bundles ${\cal F}$ such that $H_*^2({\cal F})=0$ up to stable
equivalence - coherent sheaves of projective dimension $\leq 1$ up to
pseudo-equivalence - finite length graded $k[X,Y,Z,T]$-modules, modulo
isomorphism - biliaison classes of locally Cohen-Macaulay curves. In
particular, it leads to the natural question : ``If a biliaison class contains
subcanonical curves, is a minimal curve subcanonical ?'' for which a positive
answer was given in math.AG/0102222.

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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: gr-qc
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The categories of this paper are: plasm-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: ao-sci
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The categories of this paper are: physics
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The categories of this paper are: cmp-lg
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The categories of this paper are: hep-ex
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The categories of this paper are: stat
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The categories of this paper are: nucl-th