Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Examples of local Cohomology Modules for Ramified Regular Local Rings
  having Finite Set of Associated Primes   Lyubeznik's conjecture, (\cite{Ly1}, Remark 3.7) asserts the finiteness of
the set ssociated primes of local cohomology modules for regular rings. But, in
the case of ramified regular local ring, it is open. Recently, in Theorem 1.2
of \cite{Nu1}, it is proved that in any Noetherian regular local ring $S$ and
for a fixed ideal $J\subset S$, associated primes of local cohomology
$H^i_J(S)$ for $i\geq 0$ is finite, if it does not contain $p$. In this paper,
we use this result to construct examples of local cohomology modules for
ramified regular local ring so that they have finitely many associated primes.

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The categories of this paper are: stat
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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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: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: comp-gas