Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A genericity theorem for algebraic stacks and essential dimension of
  hypersurfaces   We compute the essential dimension of the functors Forms_{n,d} and
Hypersurf_{n, d} of equivalence classes of homogeneous polynomials in n
variables and hypersurfaces in P^{n-1}, respectively, over any base field k of
characteristic 0. Here two polynomials (or hypersurfaces) over K are considered
equivalent if they are related by a linear change of coordinates with
coefficients in K. Our proof is based on a new Genericity Theorem for algebraic
stacks, which is of independent interest. As another application of the
Genericity Theorem, we prove a new result on the essential dimension of the
stack of (not necessarily smooth) local complete intersection curves.

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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: atom-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th