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Universal covering spaces and fundamental groups in algebraic geometry as schemes
algebraic geometry fundamental groups
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2015/7/14
In topology, the notions of the fundamental group
and the universal cover are closely intertwined. By importing
usual notions from topology into the algebraic and arithmetic setting, we construct a ...
MURPHY’S LAW IN ALGEBRAIC GEOMETRY: BADLY-BEHAVED DEFORMATION SPACES
LAW IN ALGEBRAIC GEOMETRY DEFORMATION SPACES
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2015/7/14
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 be as bad as possible...