New answers tagged

5 votes
Accepted

Singularities of contractions of extremal faces

In characteristic 0, the answer is well known. By assumption there is an ample divisor $A$ such that $K_X+\Delta+A$ cuts out $F$ and hence by the BPF theorem $K_X+\Delta+A\sim _{\mathbb Q,f}0$ and in ...
user avatar
  • 2,312
3 votes
Accepted

Bishop's compactness theorem and convergence of analytic subset

Convergence is taken in Hausdorff sense, though you can define the structure of a complex variety (the Barlet space) on the set of cycles, taking every irreducible component with positive integer ...
user avatar

Top 50 recent answers are included