Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the support of relative $D$-modules   In this article we investigate the fibers of relative $D$-modules. In general
we prove that there exists an open, Zariski dense subset of the vanishing set
of the annihilator over which the fibers of a cyclic relative $D$-module are
non-zero. Next we restrict our attention to relatively holonomic $D$-modules.
For this class we prove that the fiber over every point in the vanishing set of
the annihilator is non-zero. As a consequence we obtain new proofs of a
conjecture of Budur which was recently proven by Budur, van der Veer, Wu and
Zhou, as well as a new proof of a theorem of Maisonobe. Moreover, we also
obtain a diagonal specialization result for Bernstein-Sato ideals.

31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg