The University of Arizona

Genus 2 Stable Maps and Modular Resolutions

Genus 2 Stable Maps and Modular Resolutions

Series: Algebraic Geometry Seminar
Location: ENR 2 S395
Presenter: Jingchen Niu, University of Arizona

We describe a (huge) sequence of modular blowups of the relative Picard stack of the Artin stack of pre-stable weighted genus 2 curves. The sequence of blowups diagonalizes certain tautological derived objects. This provides a resolution of the primary component of the moduli space of genus 2 stable maps to projective space and a partial desingularization of the same moduli space. Joint work with Yi Hu and Jun Li. 

 

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