广义Albanese及其对偶
Generalized Albanese and its dual
摘要：
我们考虑代数群的有理映射范畴，并利用Laumon 1-motives的对偶理论研究了这类范畴的泛对象的存在性和构造。特别是，我们得到了一个奇异的投射簇X的Albanese的函子描述在一个代数闭域的特征零，这是普遍的正规商的一个相对周组的点在X上，其对偶。
英文摘要：
We consider categories of rational maps to algebraic groups and study existence and construction of universal objects for such categories, using the duality theory of Laumon 1-motives. In particular, we obtain functorial descriptions of the Albanese of a singular projective variety X over an algebraically closed field of characteristic zero, which is the universal regular quotient of a relative Chow group of points on X, and of its dual.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
