178 citations
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Showing 2011 · math.AGShow all
3 papers · 2 filters
math.AG2011★ 3 cited
Resolution of singularities of pairs preserving semi-simple normal crossings
Edward Bierstone, Franklin Vera Pacheco
Let X denote a reduced algebraic variety and D a Weil divisor on X. The pair (X,D) is said to be semi-simple normal crossings (semi-snc) at a point a of X if X is simple normal cro…
math.AG2011★ 7 cited
Resolution except for minimal singularities II. The case of four variables
Edward Bierstone, Pierre Lairez, Pierre D. Milman
In this sequel to Resolution except for minimal singularities I, we find the smallest class of singularities in four variables with which we necessarily end up if we resolve singul…
math.AG2011★ 1 cited
Resolution except for minimal singularities I
Edward Bierstone, Pierre D. Milman
The philosophy of the article is that the desingularization invariant together with natural geometric information can be used to compute local normal forms of singularities. The id…