Functorial embedded resolution via weighted blowings up

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Generalizations (algebraic spaces, stacks) (14A20)

Cites Work

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Monodromy zeta function formula for embedded \(\mathbf{Q}\)-resolutions
Functorial desingularization of quasi-excellent schemes in characteristic zero: the nonembedded case
Embedded \(\mathbf Q\)-resolutions for Yomdin-Lê surface singularities
Resolution of singularities of real-analytic vector fields in dimension three
Families of curves and alterations
Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
Toroidal varieties and the weak factorization theorem
Functorial factorization of birational maps for qe schemes in characteristic 0
Strong resolution of singularities in characteristic zero
A new proof of desingularization over fields of characteristic zero
Homology of schemes
Functorial resolution except for toroidal locus. Toroidal compactification
Very functorial, very fast, and very easy resolution of singularities
Toroidal orbifolds, destackification, and Kummer blowings up
Principalization of ideals on toroidal orbifolds
Resolution of singularities of an algebraic variety over a field of characteristic zero. II
Characteristic polyhedra of singularities
Resolution of singularities of an algebraic variety over a field of characteristic zero. I
Algebraic spaces and stacks
Stable varieties with a twist
Smooth toric Deligne-Mumford stacks
The orbifold Chow ring of toric Deligne-Mumford stacks
Differential forms in the h-topology
Lectures on Resolution of Singularities (AM-166)
Constructiveness of Hironaka's resolution
Torification and factorization of birational maps
Smoothness, Semistability, and Toroidal Geometry
Stable modification of relative curves
Newton polyhedra of ideals
Logarithmic resolution via weighted toroidal blow-ups
Functorial destackification of tame stacks with abelian stabilisers
Simple Hironaka resolution in characteristic zero
Intersection Theory on Abelian-Quotient V-Surfaces and Q-Resolutions
Toric stacks I: The theory of stacky fans
Toric stacks II: Intrinsic characterization of toric stacks
New Techniques in Resolution of Singularities
Relative and logarithmic resolution of singularities