A geographical study of ${\overline{\mathcal{M}}}_2({\mathbb{P}}^2,4{)}^{\text{main}}$

Abstract

We discuss criteria for a stable map of genus two and degree $4$ to the projective plane to be smoothable, as an application of our modular desingularisation of ${\overline{\mathcal{M}}}_{2,n}({\mathbb{P}}^r,d{)}^{\text{main}}$ via logarithmic geometry and Gorenstein singularities.

22 pages, 17 figures. Comments are welcome! v2: exposition improved thanks to the referee's comments. Final version to appear in Advances in Geometry

References in corpus (1)

• A smooth compactification of the space of genus two curves in projective space via logarithmic geometry and Gorenstein curves

Cited by in corpus (1)

• A smooth compactification of the space of genus two curves in projective space via logarithmic geometry and Gorenstein curves