Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Birational aspects of the geometry of M_g   We discuss topics on the geometry of the moduli space of curves. We present a
short proof of the Harris-Mumford theorem on the Kodaira dimension of the
moduli space which replaces the computations on the stack of admissible covers
by a simple study of tautological Koszul bundles on M_g. We also present a
streamlined self-contained account of Verra's recent work on the unirationality
of M_g. Finally, we discuss a proof that the moduli space of curves of genus 22
is of general type. Written for Surveys in Differential Geometry.

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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: supr-con
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: q-alg
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-th
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The categories of this paper are: cmp-lg
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess