Scholarlink

<p>We develop a theory of diminished multiplier ideals on singular varieties, introduced by Hacon and further developed by Lehmann. We prove a result regarding the termination of certain type of flips with scaling of an ample <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\mathbb {R}\)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="double-struck">R</mi> </math></EquationSource> </InlineEquation>-divisor if the Cartier index is bounded, and if <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\kappa _{\sigma }(K_X+\Delta )\geqslant \dim X-1\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <msub> <mi>κ</mi> <mi>σ</mi> </msub> <mrow> <mo stretchy="false">(</mo> <msub> <mi>K</mi> <mi>X</mi> </msub> <mo>+</mo> <mi mathvariant="normal">Δ</mi> <mo stretchy="false">)</mo> </mrow> <mo>⩾</mo> <mo>dim</mo> <mi>X</mi> <mo>-</mo> <mn>1</mn> </mrow> </math></EquationSource> </InlineEquation> holds. The proof uses a theory of diminished multiplier ideals.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On diminished multiplier ideal and the termination of flips

  • 期刊论文

  • 发表日期：

    2026年2月26日

查看全文
  • Donghyeon Kim

摘要

We develop a theory of diminished multiplier ideals on singular varieties, introduced by Hacon and further developed by Lehmann. We prove a result regarding the termination of certain type of flips with scaling of an ample \(\mathbb {R}\) R -divisor if the Cartier index is bounded, and if \(\kappa _{\sigma }(K_X+\Delta )\geqslant \dim X-1\) κ σ ( K X + Δ ) ⩾ dim X - 1 holds. The proof uses a theory of diminished multiplier ideals.