Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modifications of Hodge bundles and enumerative geometry : the stable
  hyperelliptic locus   We study the stable hyperelliptic locus, i.e. the closure, in the Deligne-
Mumford moduli space of stable curves, of the locus of smooth hyperelliptic
curves. Working on a suitable blowup of the relative Hilbert scheme (of degree
2) associated to a family of stable curves, we construct a bundle map
('degree-2 Brill-Noether') from a modification of the Hodge bundle to a
tautological bundle, whose degeneracy locus is the natural lift of the stable
hyperelliptic locus plus a simple residual scheme. Using intersection theory on
Hilbert schemes and Fulton-Macpherson residual intersection theory, the class
of the structure sheaf and various other sheaves supported on the stable
hyperelliptic locus can be computed by Porteous' formula.

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The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol