Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable reduction, infused the subject with logarithmic ……続きを見る
This monograph focuses on the geometric theory of motivic integration, which takes its values in the Grothendieck ring of varieties. This theory is rooted in a groundbreaking idea of Kontsevich and ……続きを見る
Presenting the first systematic treatment of the behavior of Néron models under ramified base change, this book can be read as an introduction to various subtle invariants and constructions related ……続きを見る
This book provides a systematic presentation of the mathematical foundation of modern physics with applications particularly within classical mechanics and the theory of relativity. Written to be se……続きを見る
**The latest volume in the New York Times–bestselling physics series explains Einstein’s masterpiece: the general theory of relativity
He taught us classical mechanics, quantum mechanics, and specia……続きを見る
Linear algebra is growing in importance. 3D entertainment, animations in movies and video games are developed using linear algebra. Animated characters are generated using equations straight out of ……続きを見る
This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces. The main challenges a……続きを見る
This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori’s abelian category of mixed motives. It develops Nori’s approach to mixed motives from scratch, the……続きを見る
Tout comme le précédent ouvrage, cette nouvelle édition vise à fournir à l’enseignant débutant ou chevronné, les outils nécessaires à un enseignement de la géométrie (géométrie plane et géométrie da……続きを見る
This book gives an introduction to the very active field of combinatorics of affine Schubert calculus, explains the current state of the art, and states the current open problems. Affine Schubert ca……続きを見る
Since its introduction in the early 1980s quasiconformal surgery has become a major tool in the development of the theory of holomorphic dynamics, and it is essential background knowledge for any re……続きを見る
