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Murphy's Law in algebraic geometry: Badly-behaved deformation spaces
Ravi Vakil
We consider the question: ``How bad can the deformation space of an object be?'' The answer seems to be: ``Unless there is some a priori reason otherwise, the deformation space may…
math.AG2004
The affine stratification number and the moduli space of curves
Mike Roth, Ravi Vakil
We define the affine stratification number asn X of a scheme X. For X equidimensional, it is the minimal number k such that there is a stratification of X by locally closed affine…