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arXiv · 1206.5316

Desingularization by blowings-up avoiding simple normal crossings

Edward Bierstone·Sergio Da Silva·Pierre D. Milman·Franklin Vera Pacheco
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Abstract

It is shown that, for any reduced algebraic variety in characteristic zero, one can resolve all but simple normal crossings (snc) singularities by a finite sequence of blowings-up with smooth centres which, at every step, avoids points where the transformed variety together with the exceptional divisor has only snc singularities. The proof follows the philosophy of arXiv:1107.5595 that the desingularization invariant can be used together with natural geometric information to compute local normal forms of singularities.

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Edward Bierstone, Sergio Da Silva, Pierre D. Milman, Franklin Vera Pacheco. 2012-06-22. Desingularization by blowings-up avoiding simple normal crossings. https://arxiv.org/abs/1206.5316

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