Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Residual categories of quadric surface bundles   We show the residual categories of quadric surface bundles are equivalent to
the (twisted) derived categories of some scheme in two situations: (1) the
quadric surface bundle has a smooth section; (2) the total space and the base
of the quadric surface bundle are smooth and the base is a surface. We provide
two proofs in situation (1) describing the scheme as the hyperbolic reduction
and as a subscheme of the relative Hilbert scheme of lines, respectively. In
situation (2) the twisted scheme is obtained by performing birational
transformations to the relative Hilbert scheme of lines. As an application we
apply the results to certain complete intersections of quadrics.

11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics