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In this article, we construct a version of the Bloch-Srinivas (Enriched Hodge structures. In Algebra, arithmetic and geometry, Part I, II (Mumbai, 2000), volume 16 of Tata Inst. Fund. Res. Stud. Math., pages 171–184. Tata Inst. Fund. Res., Bombay, 2002) category of enriched Hodge structures suitable for studying cycles on possibly singular quasi-projective varieties. We show that the cohomology of punctured links gives rise to a natural object of this category. These constructions are motivated by the study of cycles on analytic links.

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Enriched Hodge Structures and Cycles on Complex Analytic Thickenings

  • 章节

  • 发表日期：

    2025年

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  • Madhav Nori,
  • Deepam Patel,
  • Vasudevan Srinivas

摘要

In this article, we construct a version of the Bloch-Srinivas (Enriched Hodge structures. In Algebra, arithmetic and geometry, Part I, II (Mumbai, 2000), volume 16 of Tata Inst. Fund. Res. Stud. Math., pages 171–184. Tata Inst. Fund. Res., Bombay, 2002) category of enriched Hodge structures suitable for studying cycles on possibly singular quasi-projective varieties. We show that the cohomology of punctured links gives rise to a natural object of this category. These constructions are motivated by the study of cycles on analytic links.