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arXiv · 1606.01383

Properness for scaled gauged maps

E. González·P. Solis·C. Woodward
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Abstract

We give an algebraic proof of properness of moduli stacks of gauged maps satisfying a stability conditition introduced by Mundet and Schmitt. The proof combines a git construction of Schmitt, properness for twisted stable maps by Abramovich-Vistoli, a variation of a boundedness argument due to Ciocan-Fontanine-Kim-Maulik, and a removal of singularities for bundles on surfaces in Colliot-Th\'el\`ene-Sansuc.

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E. González, P. Solis, C. Woodward. 2016-06-04. Properness for scaled gauged maps. https://arxiv.org/abs/1606.01383

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