Scholarlink

Abstract <p> The mirror symmetry predicts that the bounded derived category of a smooth Fano variety is equivalent to the Fukaya–Seidel category of its Landau–Ginzburg model. It is expected that the fibers of Landau–Ginzburg model with ordinary double points correspond to an exceptional collection of a Fano variety. We verify this expectation at a numerical level for Fano complete intersections and Calabi–Yau compactifications of their toric Landau–Ginzburg models of Givental’s type. </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

Singularities of Landau–Ginzburg Models for Complete Intersections and Derived Categories

  • 期刊论文

  • 发表日期：

    2026年3月27日

查看全文
  • V.V. Przyjalkowski

摘要

Abstract

The mirror symmetry predicts that the bounded derived category of a smooth Fano variety is equivalent to the Fukaya–Seidel category of its Landau–Ginzburg model. It is expected that the fibers of Landau–Ginzburg model with ordinary double points correspond to an exceptional collection of a Fano variety. We verify this expectation at a numerical level for Fano complete intersections and Calabi–Yau compactifications of their toric Landau–Ginzburg models of Givental’s type.