Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: 38406501359372282063949 & all that: Monodromy of Fano Problems   A Fano problem is an enumerative problem of counting $r$-dimensional linear
subspaces on a complete intersection in $\mathbb{P}^n$ over a field of
arbitrary characteristic, whenever the corresponding Fano scheme is finite. A
classical example is enumerating lines on a cubic surface. We study the
monodromy of finite Fano schemes $F_{r}(X)$ as the complete intersection $X$
varies. We prove that the monodromy group is either symmetric or alternating in
most cases. In the exceptional cases, the monodromy group is one of the Weyl
groups $W(E_6)$ or $W(D_k)$.

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The categories of this paper are: solv-int
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: ao-sci
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: eess
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The categories of this paper are: plasm-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: quant-ph