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Description of generalized Albanese varieties by curves
Henrik Russell
Let X be a projective variety over an algebraically closed base field, possibly singular. The aim of this paper is to show that the generalized Albanese variety of Esnault-Srinivas…
Albanese varieties of singular varieties over a perfect field
Henrik Russell
Let X be a projective variety, possibly singular. A generalized Albanese variety of X was constructed by Esnault, Srinivas and Viehweg over algebraically closed base field as a uni…
Albanese varieties with modulus and Hodge theory
Kazuya Kato, Henrik Russell
Let X be a proper smooth variety over the complex numbers. We consider the generalized Albanese variety Alb(X,Y) of X of modulus Y, which is a higher dimensional analogue of the ge…
Generalized Albanese and its dual
Henrik Russell
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-moti…