Proves the localization theorem for motivic homotopy theory over complex analytic stacks and supplies general techniques for algebraic and differentiable stacks.
The ´ etale local stru cture of algebraic stacks
5 Pith papers cite this work. Polarity classification is still indexing.
5
Pith papers citing it
fields
math.AG 5verdicts
UNVERDICTED 5representative citing papers
Criterion proven for smooth DM stacks to be weighted blow-ups of another stack under bundle and normal bundle conditions, applied to show stable genus one curve moduli is a weighted blow-up of the pseudo-stable stack.
Constructs semiorthogonal decompositions for derived categories on quasi-smooth derived algebraic stacks indexed by component lattices, with examples for moduli stacks of G-bundles, G-Higgs bundles, and G-local systems.
Determines local singularity types for Hilbert schemes of ≤7 points in A^3 via an intrinsic Thomason theorem and verifies Zhou's conjecture on tautological sheaf Euler characteristics for ≤6 points on P^3.
Perverse character varieties are proven to be quasi-affine via a purely stack-theoretic construction exhibiting sections of the structure sheaf.
citing papers explorer
-
A criterion for smooth weighted blow-downs
Criterion proven for smooth DM stacks to be weighted blow-ups of another stack under bundle and normal bundle conditions, applied to show stable genus one curve moduli is a weighted blow-up of the pseudo-stable stack.