TY - CHAP
T1 - Enriched Hodge Structures and Cycles on Complex Analytic Thickenings
AU - Nori, Madhav
AU - Patel, Deepam
AU - Srinivas, Vasudevan
N1 - Publisher Copyright:
© The Author(s), under exclusive license to Springer Nature Switzerland AG 2025.
PY - 2025
Y1 - 2025
N2 - 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.
AB - 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.
UR - https://www.scopus.com/pages/publications/85218024622
U2 - 10.1007/978-3-031-66234-8_9
DO - 10.1007/978-3-031-66234-8_9
M3 - Chapter
AN - SCOPUS:85218024622
T3 - Progress in Mathematics
SP - 345
EP - 390
BT - Progress in Mathematics
PB - Birkhauser
ER -