Kento Fujita's Books

This book determines whether the general element of each family of Fano threefolds is K-polystable, a major problem in mathematics.

This book covers the fundamental aspects of the electrochemistry and redox enzymes that underlie enzymatic bioelectrocatalysis, in which a redox enzyme reaction is coupled with an electrode reaction. Described here are the basic concept and theoretical aspects of bioelectrocatalysis and the various experimental techniques and materials used to study and characterize related problems. Also included are the various applications of bioelectrocatalysis to bioelectrochemical devices including biosensors, biofuel cells, and bioreactors. This book is a unique source of information in the area of enzymatic bioelectrocatalysis, approaching the subject from a cross-disciplinary point of view.

Algebraic varieties are shapes defined by polynomial equations. Smooth Fano threefolds are a fundamental subclass that can be thought of as higher-dimensional generalizations of ordinary spheres. They belong to 105 irreducible deformation families. This book determines whether the general element of each family admits a Kähler–Einstein metric (and for many families, for all elements), addressing a question going back to Calabi 70 years ago. The book's solution exploits the relation between these metrics and the algebraic notion of K-stability. Moreover, the book presents many different techniques to prove the existence of a Kähler–Einstein metric, containing many additional relevant results such as the classification of all Kähler–Einstein smooth Fano threefolds with infinite automorphism groups and computations of delta-invariants of all smooth del Pezzo surfaces. This book will be essential reading for researchers and graduate students working on algebraic geometry and complex geometry.

Book's by Kento Fujita

The Calabi Problem for Fano Threefolds

The Calabi Problem for Fano Threefolds

Enzymatic Bioelectrocatalysis

Enzymatic Bioelectrocatalysis

The Calabi Problem for Fano Threefolds

The Calabi Problem for Fano Threefolds

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