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Holmes, D.; Schwarz, R. (2022)

Logarithmic intersections of double ramification cycles

Article / Letter to editor
We describe a theory of logarithmic Chow rings and tautological subrings for logarithmically smooth algebraic stacks, via a generalisation of the notion of piecewise-polynomial functions. Using this machinery we prove that the double-double ramification cycle lies in the tautological subring of the (classical) Chow ring of the moduli space of curves and that the logarithmic double ramification cycle is divisorial (as conjectured by Molcho, Pandharipande, and Schmitt).
All authors
Holmes, D.; Schwarz, R.
Date
2022-09-01
Journal
Algebraic Geometry
Volume
9
Issue
5
Pages
574 - 605
DOI
doi:10.14231/AG-2022-017