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
3 Pith papers cite this work. Polarity classification is still indexing.
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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.
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.
citing papers explorer
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The Localization Theorem for the Motivic Homotopy Theory of Complex Analytic Stacks and other Geometric Settings
Proves the localization theorem for motivic homotopy theory over complex analytic stacks and supplies general techniques for algebraic and differentiable stacks.
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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.
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On singular Hilbert schemes of points: Local structures and tautological sheaves
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.