Genus Two Stable Maps, Local Equations and Modular Resolutions

Details Genus Two Stable Maps, Local Equations and Modular Resolutions Genus Two Stable Maps, Local Equations and Modular Resolutions

2012-01-11

arxiv.org/abs/1201.2427v1

Mathematics

Algebraic Geometry

32 pages, 1 figure

Scientific paper

We describe a canonical sequence of modular blowups of the Artin stack of stable weighted genus-two curves that diagonalize certain canonical derived objects of the original Artin stack. This provides a resolution of the primary component of the moduli space of genus two stable maps to projective space, and a partial desingularization of the same moduli space. Our approach should extend to higher genera.

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