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math.AC2016
Koszul Factorization and the Cohen-Gabber Theorem
Chris Skalit
We present a sharpened version of the Cohen-Gabber theorem for equicharacteristic, complete local domains (A,m,k) with algebraically closed residue field and dimension d > 0. Namel…
math.AC2015
Positivity of Intersection Multiplicity Over a Two-Dimensional Base
Chris Skalit
We show that Serre's Intersection Multiplicity Conjecture holds for a formal power series ring A over a complete, two-dimensional regular local ring R. From this, we deduce the cor…
math.AC2014
Intersection Multiplicity of Serre in the Unramified Case
Chris Skalit
We describe here some recent progress pertaining to the Serre Intersection Multiplicity Conjecture. In particular, we show that if A is an unramified regular local ring, then just…