A theory of stacks with twisted fields and resolution of moduli of genus two stable maps

Yi Hu University of Arizona Jingchen Niu University of Arizona

Algebraic Geometry arXiv subject: Algebraic Geometry (math.AG) mathscidoc:2007.45002

We construct a smooth algebraic stack of tuples consisting of genus two nodal curves, line bundles, and twisted fields. It leads to a desingularization of the moduli of genus two stable maps to projective spaces. The construction is based on systematical application of the theory of stacks with twisted fields (STF), which has its prototype appeared in arXiv:1906.10527 and arXiv:1201.2427 and is fully developed in this article. The results of this article are the second step of a series of works toward the resolutions of the moduli of stable maps of higher genera.
No keywords uploaded!
[ Download ] [ 2020-07-24 01:28:39 uploaded by jniu ] [ 20 downloads ] [ 0 comments ]
@inproceedings{yia,
  title={A theory of stacks with twisted fields and resolution of moduli of genus two stable maps},
  author={Yi Hu, and Jingchen Niu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20200724012839543951702},
}
Yi Hu, and Jingchen Niu. A theory of stacks with twisted fields and resolution of moduli of genus two stable maps. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20200724012839543951702.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved