Saturated base change of toroidal morphisms

2025/09/19 by Santai Qu, Qu, Santai · 2 citations
Materials Science · #Liquid Crystal Research Advancements

paper · pdf · doi:10.48550/arxiv.2509.15590

Abstract

We show that saturated base change of a dominant toroidal morphism is also toroidal. For completeness, we give full details on equivalence between definitions regarding toroidal embeddings and toroidal morphisms in literature. Moreover, we show in detail the equivalence between toroidal embeddings and logarithmically regular log-varieties, respectively, toroidal morphisms and logarithmically smooth morphisms.

Citations

• Singularities on Fano fibrations and beyond
• Relative desingularization and principalization of ideals
• Principalization of ideals on toroidal orbifolds
• Singularities of linear systems and boundedness of Fano varieties
• Anti-pluricanonical systems on Fano varieties
• Some remarks on toroidal morphisms
• Foundations for almost ring theory -- Release 7.5

Cited by

• Volumes of foliations birationally bounded by algebraically integrable families
• Toroidal and toric models of fibrations over curves

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