Back to Search
Start Over
Hyperelliptic A_r-stable curves (and their moduli stack).
- Source :
- Transactions of the American Mathematical Society; Jun2024, Vol. 377 Issue 6, p4133-4169, 37p
- Publication Year :
- 2024
-
Abstract
- This paper is the second in a series of four papers aiming to describe the (almost integral) Chow ring of \overline {\mathcal {M}}_3, the moduli stack of stable curves of genus 3. In this paper, we introduce the moduli stack \widetilde {\mathcal {H}}_g^r of hyperelliptic A_r-stable curves and generalize the theory of hyperelliptic stable curves to hyperelliptic A_r-stable curves. In particular, we prove that \widetilde {\mathcal {H}}_g^r is a smooth algebraic stack that can be described using cyclic covers of twisted curves of genus 0 and it embeds in \widetilde {\mathcal M}_g^r (the moduli stack of A_r-stable curves) as the closure of the moduli stack of smooth hyperelliptic curves. [ABSTRACT FROM AUTHOR]
- Subjects :
- INTEGRALS
HYPERGRAPHS
Subjects
Details
- Language :
- English
- ISSN :
- 00029947
- Volume :
- 377
- Issue :
- 6
- Database :
- Complementary Index
- Journal :
- Transactions of the American Mathematical Society
- Publication Type :
- Academic Journal
- Accession number :
- 177372857
- Full Text :
- https://doi.org/10.1090/tran/9164