Higher arithmetic K-theory, by Yuichiro Takeda

In this paper a new definition of K-theory in Arakelov geometry is given. It is a higher extension of the arithmetic K_0 group of an arithmetic variety defined by Gillet and Soule. Products and direct images in this K-theory are discussed.


Yuichiro Takeda <yutakeda@math.kyushu-u.ac.jp>