Abstract
Abstract
For
$\theta $
a small generic universal stability condition of degree
$0$
and A a vector of integers adding up to
$-k(2g-2+n)$
, the spaces
$\overline {\mathcal {M}}_{g,A}^\theta $
constructed in [AP21, HMP+22] are observed to lie inside the space
$\textbf {Div}$
of [MW20], and their pullback under
$\textbf {Rub} \to \textbf {Div}$
of loc. cit. to be smooth. This provides smooth and modular modifications
$\widetilde {\mathcal {M}}_{g,A}^\theta $
of
$\overline {\mathcal {M}}_{g,n}$
on which the logarithmic double ramification cycle can be calculated by several methods.
Publisher
Cambridge University Press (CUP)
Subject
Computational Mathematics,Discrete Mathematics and Combinatorics,Geometry and Topology,Mathematical Physics,Statistics and Probability,Algebra and Number Theory,Theoretical Computer Science,Analysis
Reference31 articles.
1. [GM15] Gillam, W. D. and Molcho, S. , ‘A theory of stacky fans’, Preprint, 2015, arXiv:1512.07586.
2. Piecewise polynomial functions, convex polytopes and enumerative geometry
3. A Compactification over \overline{𝑀_{𝑔}} of the Universal Moduli Space of Slope-Semistable Vector Bundles
4. Equivariant Chow cohomology of toric varieties
5. [Ran19] Ranganathan, D. , ‘A note on cycles of curves in a product of pairs’, Preprint, 2019 arXiv:1910.00239.