Decompositions of birational toric morphism between threefolds

Let $f:X\to Y$ be a birational morphism between smooth projective threefolds, Kollár asked that if $f$ could be decomposed into smooth blow-downs and smooth flops. In this paper we show that the toric version is true.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-10-27
DOI
https://doi.org/10.48550/arxiv.2610.36802
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
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preprint

Decompositions of birational toric morphism between threefolds

Lingyao Xie
arXiv (Cornell University)
Algebraic Geometry and Number Theory
preprint

Decompositions of birational toric morphism between threefolds

Lingyao Xie
preprint en

Abstract

Let $f:X\to Y$ be a birational morphism between smooth projective threefolds, Kollár asked that if $f$ could be decomposed into smooth blow-downs and smooth flops. In this paper we show that the toric version is true.

arXiv (Cornell University)
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Decompositions of birational toric morphism between threefolds — Lingyao Xie · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS