In 1970, Phillip Griffiths envisioned that points at infinity could be added to the classifying space D of polarized Hodge structures. In this book, Kazuya Kato and Sampei Usui realize this dream by creating a logarithmic Hodge theory. They use the logarithmic structures begun by Fontaine-Illusie to revive nilpotent orbits as a logarithmic Hodge ...
The papers contained in this volume survey the connection between algebraic K-theory and the torsion algebraic cycles on an algebraic variety, introduce an approach to Iwasawa theory for Hasse-Weil L-function, and demonstrate applications of arithmetic geometry to Diophantine approximation.
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