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math.AG2010★ 12 cited
Moduli of Singular Curves
Jack Hall
The purpose of this note is to prove that there is an algebraic stack U parameterizing all curves. The curves that appear in the algebraic stack U are allowed to be arbitrarily sin…
math.AG2010★ 19 cited
The Hilbert Stack
Jack Hall, David Rydh
Let π: X -> S be a morphism of algebraic stacks that is locally of finite presentation with affine stabilizers. We prove that there is an algebraic S-stack, the Hilbert stack, para…