## 2 Citations

Abelian tropical covers

- Mathematics
- 2019

The goal of this article is to classify unramified covers of a fixed tropical base curve $\Gamma$ with an action of a finite abelian group G that preserves and acts transitively on the fibers of the…

Intersections of loci of admissible covers with tautological classes

- Mathematics
- 2018

For a finite group $G$, let $\H_{g,G,\xi}$ be the stack of admissible $G$-covers $C\to D$ of stable curves with ramification data $\xi$, $g(C)=g$ and $g(D)=g'$. There are source and target morphisms…

## References

SHOWING 1-10 OF 34 REFERENCES

Singularities of the moduli space of level curves

- Mathematics
- 2012

We describe the singular locus of the compactification of the moduli space $R_{g,l}$ of curves of genus $g$ paired with an $l$-torsion point in their Jacobian. Generalising previous work for $l\le…

Moduli of $G$-covers of curves: geometry and singularities

- Mathematics
- 2019

In a recent paper Chiodo and Farkas described the singular locus and the locus of non-canonical singularities of the moduli space of level curves. In this work we generalize their results to the…

On the geometry of the moduli space of spin curves

- Mathematics
- 2007

We determine the smooth locus and the locus of canonical singularities in the Cornalba compactification \bar S_g of the moduli space S_g of spin curves, i.e., smooth curves of genus g with a theta…

Singularities of moduli of curves with a universal root

- Mathematics
- 2015

In a series of recent papers, Chiodo, Farkas and Ludwig carry out a deep analysis of the singular locus of the moduli space of stable (twisted) curves with an $\ell$-torsion line bundle. They show…

Koszul cohomology and applications to moduli

- Mathematics
- 2008

We discuss recent progress on syzygies of curves, including proofs of Green's and Gonality Conjectures as well as applications of Koszul cycles to the study of the birational geometry of various…

Syzygies of torsion bundles and the geometry of the level l modular variety over Mg

- Mathematics
- 2012

We formulate, and in some cases prove, three statements concerning the purity or, more generally the naturality of the resolution of various rings one can attach to a generic curve of genus g and a…

Effective divisors on \bar{M}_g, curves on K3 surfaces and the Slope Conjecture

- Mathematics
- 2003

We carry out a detailed intersection theoretic analysis of the Deligne-Mumford compactification of the divisor on M_{10} consisting of curves sitting on K3 surfaces. This divisor is not of classical…

Twisted Bundles and Admissible Covers

- Mathematics
- 2001

Abstract We study the structure of the stacks of twisted stable maps to the classifying stack of a finite group G—which we call the stack of twisted G-covers, or twisted G-bundles. For a suitable…

Towards an Enumerative Geometry of the Moduli Space of Curves

- Mathematics
- 1983

The goal of this paper is to formulate and to begin an exploration of the enumerative geometry of the set of all curves of arbitrary genus g. By this we mean setting up a Chow ring for the moduli…

Towards an enumerative geometry of the moduli space of twisted curves and rth roots

- MathematicsCompositio Mathematica
- 2008

Abstract The enumerative geometry of rth roots of line bundles is crucial in the theory of r-spin curves and occurs in the calculation of Gromov–Witten invariants of orbifolds. It requires the…