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Mathematics > Algebraic Geometry

arXiv:2509.03650 (math)
[Submitted on 3 Sep 2025 ]

Title: DR cycles and strata of differentials with spin parity

Title: DR循环和具有自旋奇偶性的微分形式的层

Authors:David Holmes, Georgios Politopoulos, Adrien Sauvaget
Abstract: We study classes of strata of differentials with fixed spin parity in the Chow ring of moduli spaces of curves. We show that these classes are tautological and computable. Furthermore, we establish the refined DR cycle formula for these classes.
Abstract: 我们研究在曲线模空间的陈环中具有固定自旋奇偶性的微分层类。 我们证明这些类是基本的且可计算的。 此外,我们为这些类建立了精化的DR循环公式。
Comments: 66 pages
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:2509.03650 [math.AG]
  (or arXiv:2509.03650v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2509.03650
arXiv-issued DOI via DataCite

Submission history

From: Adrien Sauvaget [view email]
[v1] Wed, 3 Sep 2025 18:57:43 UTC (61 KB)
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