Algebraic Geometry

This book is a tribute to the memory of Yuri Ivanovich Manin, who passed away on January 7, 2023. Manin was one of the giants of modern mathematics...

This monograph explores the finiteness and structure of Shafarevich-Tate groups of abelian varieties over global fields of any characteristic. Read...

This volume contains the proceedings of the 2019 Lluis A. Santalo Summer School on $p$-Adic Analysis, Arithmetic and Singularities, which was held ...

Arising from the 2022 Japan-US Mathematics Institute, this book covers a range of topics in modern algebraic geometry, including birational geometr...

This is the fourth volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the sta...

Fractals and Chaos: An Illustrated Course provides you with a practical, elementary introduction to fractal geometry and chaotic dynamics-subjects ...

This is a textbook meant to be used at the advanced undergraduate or graduate level. It is an introduction to the theory of Lie groups and Lie alge...

This volume collects the texts of five courses given in the Arithmetic Geometry Research Programme 2009-2010 at the CRM Barcelona. All of them deal...

Several generations of students of algebraic geometry have learned the subject from David Mumford's fabled Red Book containing notes of his lecture...

This book provides an introduction to noncommutative geometry and presents a number of its recent applications to particle physics. In the first pa...

Alexander Grothendieck is often considered one of the greatest mathematicians of the twentieth century (if not all time), and his unique vision con...

The second of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades...

Let K be an algebraically closed field of characteristic zero, and let G be a connected reductive algebraic group over K. We address the problem of...

This book provides an introduction to categorical Donaldson-Thomas (DT) theory, a rapidly developing field which has close links to enumerative geo...

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geom...

Enumerative geometry is a core area of algebraic geometry that dates back to Apollonius in the second century BCE. It asks for the number of geomet...

The book provides a state-of-the-art description of the construction and properties of coherent systems on algebraic curves and their moduli spaces...

This textbook covers classical geometrical methods and modern analytical methods in kinematic synthesis of mechanisms. The methods discussed are al...

This book studies the relation between conformal invariants and dynamical invariants and their applications, taking the reader on an excursion thro...

Lectures on NX(p) deals with the question on how NX(p), the number of solutions of mod p congruences, varies with p when the family (X) of polynomi...

This volume is the proceedings of a special conference dedicated to the legacy of Prof. S.-S. Chern, virtually held at the Chern Institute of Mathe...

This books area is special functions of one or several complex variables. Special functions have been applied to dynamics and physics. Special func...

This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the st...