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In mathematics a stack or 2-sheaf is a sheaf that takes values in categories rather than sets.

6 votes

Proving that a map is a morphism

Emerton has already answered, but let me summarize all the steps: 1) to a perfect torsion complex in the derived category associate a Cartier divisor; 2) to every sequence of morphisms $C\to X\to S$ …
Barbara's user avatar
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5 votes

Twisted curves, admissible covers, and an algebraic analogue of a specific monodromy computa...

What naturally associates to each ramification point (or more generally, irreducible divisor in the ramification locus) is a pair $(H,\psi)$ where $H$ is a cyclic subgroup of $G$ (with $\ge 2$ element …
Barbara's user avatar
  • 976