Toroidalization of locally toroidal morphisms

Ahmadian, R.

doi:10.1090/tran/8587

Toroidalization of locally toroidal morphisms
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Trans. Amer. Math. Soc. 375 (2022), 2949-2986 Request permission

Abstract:

The problem of toroidalization is to construct a toroidal lifting of a dominant morphism $\varphi :X\to Y$ of algebraic varieties by blowing up in the target and domain. This paper contains a solution to this problem when $\varphi$ is locally toroidal.

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Toroidalization of locally toroidal morphisms
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