论文标题
压缩通用雅各布人在稳定地图上的GIT结构
GIT Constructions of Compactified Universal Jacobians over Stacks of Stable Maps
论文作者
论文摘要
We prove that any compactified universal Jacobian over any stack of stable maps, defined using torsion-free sheaves which are Gieseker semistable with respect to a relatively ample invertible sheaf over the universal curve, admits a projective good moduli space which can be constructed using GIT, and that the same is true for analogues parametrising semistable sheaves of higher rank.我们还证明，对于可逆滑轮的不同选择，相应的良好模量空间与有限数量的“ Thaddeus Flips”相关。作为我们方法的特殊情况，我们提供了普遍Picard Caporaso和Pandharipande的新的GIT构建。
We prove that any compactified universal Jacobian over any stack of stable maps, defined using torsion-free sheaves which are Gieseker semistable with respect to a relatively ample invertible sheaf over the universal curve, admits a projective good moduli space which can be constructed using GIT, and that the same is true for analogues parametrising semistable sheaves of higher rank. We also prove that for different choices of invertible sheaves, the corresponding good moduli spaces are related by a finite number of "Thaddeus flips". As a special case of our methods, we provide a new GIT construction of the universal Picard variety of Caporaso and Pandharipande.
