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<p>Let (<i>X</i>,&#xa0;<i>B</i>) be a pseudo-effective log canonical 4-fold over an algebraically closed field of characteristic zero. We prove that any sequence of <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="209_2025_3766_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="73" /> </InlineMediaObject> <EquationSource Format="TEX">\((K_X+B)\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <msub> <mi>K</mi> <mi>X</mi> </msub> <mo>+</mo> <mi>B</mi> <mo stretchy="false">)</mo> </mrow> </math></EquationSource> </InlineEquation>-flips terminates. In particular, any minimal model program for (<i>X</i>,&#xa0;<i>B</i>) terminates.</p>

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Termination of pseudo-effective 4-fold flips

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月28日

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  • Joaquín Moraga

摘要

Let (X, B) be a pseudo-effective log canonical 4-fold over an algebraically closed field of characteristic zero. We prove that any sequence of \((K_X+B)\) ( K X + B ) -flips terminates. In particular, any minimal model program for (X, B) terminates.