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arXiv · 2603.19365

Formal splitting and stack-theoretic normal crossings desingularization

André Belotto da Silva·François Bernard·Edward Bierstone
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Abstract

We show that stack-theoretic resolution of singularities preserving normal crossings (partial desingularization) by weighted blowings-up, can be obtained in a simple direct way from a splitting theorem of the first and third authors, using the algorithm of Abramovich, Temkin and W{\l}odarczyk for resolution of singularities by weighted blowings-up.

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André Belotto da Silva, François Bernard, Edward Bierstone. 2026-03-19. Formal splitting and stack-theoretic normal crossings desingularization. https://arxiv.org/abs/2603.19365

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