Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The nef cone of the moduli space of sheaves and strong Bogomolov
  inequalities   Let (X,H) be a polarized, smooth, complex projective surface, and let v be a
Chern character on X with positive rank and sufficiently large discriminant. In
this paper, we compute the Gieseker wall for v in a slice of the stability
manifold of X. We construct explicit curves parameterizing non-isomorphic
Gieseker stable sheaves that become S-equivalent along the wall. As a
corollary, we conclude that if there are no strictly semistable sheaves of
character v, the Bayer-Macri divisor associated to the wall is a boundary nef
divisor on the moduli space of sheaves M_H(v). We recover previous results for
the projective plane and K3 surfaces, and illustrate applications to higher
Picard rank surfaces with an example on a quadric surface.

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The categories of this paper are: astro-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: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: nucl-th