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Mathematics > Algebraic Geometry

arXiv:2201.06024 (math)
[Submitted on 16 Jan 2022]

Title:Intersection theory on moduli of smooth complete intersections

Authors:Andrea Di Lorenzo
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Abstract:We provide a general method for computing rational Chow rings of moduli of smooth complete intersections. We specialize this result in different ways: to compute the integral Picard group of the associated stack ; to obtain an explicit presentation of rational Chow rings of moduli of smooth complete intersections of codimension two; to prove old and new results on moduli of smooth curves of genus $\leq 5$ and polarized K3 surfaces of degree $\leq 8$.
Comments: 35 pages, comments welcome!
Subjects: Algebraic Geometry (math.AG)
MSC classes: 14D23, 14C15, 14H10
Cite as: arXiv:2201.06024 [math.AG]
  (or arXiv:2201.06024v1 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.2201.06024

Submission history

From: Andrea Di Lorenzo [view email]
[v1] Sun, 16 Jan 2022 11:43:23 UTC (36 KB)
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