Toroidalization of locally toroidal morphisms

Toroidalization of locally toroidal morphisms

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

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Veröffentlicht in:Transactions of the American Mathematical Society 2022-01, Vol.375 (4), p.2949-2986
1. Verfasser: Ahmadian, R.
Format: Artikel
Sprache:eng
Schlagworte:
Research article
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Zusammenfassung:The problem of toroidalization is to construct a toroidal lifting of a dominant morphism φ:X→Y\varphi :X\to Y of algebraic varieties by blowing up in the target and domain. This paper contains a solution to this problem when φ\varphi is locally toroidal.
ISSN:0002-9947
1088-6850
DOI:10.1090/tran/8587