(Paperback)

A sequel to Lectures on Riemann Surfaces (Mathematical Notes, 1966), this volume continues the discussion of the dimensions of spaces of holomorphic cross-sections of complex line bundles over compact Riemann surfaces. Whereas the earlier treatment was limited to results obtainable chiefly by one-dimensional methods, the more detailed analysis pres

(Hardback)

(Paperback)

These lectures provide students and specialists with preliminary and valuable information from university courses and seminars in mathematics. This set gives new proof of the h-cobordism theorem that is different from the original proof presented by S. Smale. Originally published in 1965. The Princeton Legacy Library uses the latest print-on-dema

(Hardback)

(Hardback)

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book provides a comprehensive exploration of Mumford-Tate groups and domains.

(Paperback)

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book provides a comprehensive exploration of Mumford-Tate groups and domains.

(Paperback)

These notes contain the first complete treatment of cobordism, a topic that has become increasingly important in the past ten years. The subject is fully developed and the latest theories are treated. Originally published in 1968. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-pri

(Hardback)

(Paperback)

Studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. The author also uses the method developed by Langlands, Ihara, and Kottwitz, which is to compare the Grothendieck-Lefschetz fixed point formula and the Arthur-Selberg trace formula.

(Paperback)

Mark Green and Phillip Griffiths set forth the initial stages of an infinitesimal theory for algebraic cycles. The book aims in part to understand the geometric basis and the limitations of Spencer Bloch's beautiful formula for the tangent space to Chow groups.

(Paperback)

Outer billiards is a basic dynamical system defined relative to a convex shape in the plane. B H Neumann introduced this system in the 1950s, and J Moser popularized it as a toy model for celestial mechanics. All along, the Moser-Neumann question has been one of the central problems in the field. This title offers solution to the problem.

(Hardback)

(Hardback)

(Paperback, Revised and Expanded Second Edition)

This work looks at polyominoes, invented by Solomon Golomb, which have contributed to the study of combinatorial geometry and tiling theory. This work takes readers on a mathematical journey through the world of the polyomino.

(Paperback)

This collection brings together papers by mathematicians exploring the research frontiers of topology. The book covers a wide range of topological specialities.

(Paperback)

The description for this book, Ramification Theoretic Methods in Algebraic Geometry (AM-43), will be forthcoming.

(Paperback)

Gives a unified treatment of the construction of fixed-points for renormalization and the construction of hyperbolic 3- manifolds fibering over the circle. This approach shows open hyperbolic manifolds are inflexible, and yields quantitative counterparts to Mostow rigidity.

(Paperback)

In this text the author looks at the work of Riemann, who in the 19th century contributed to the study of curved surfaces, or non-Euclidian geometry. Riemann's results later found application in physics, when Einstein introduced his theory of relativity.

(Paperback)

(Paperback)

The description for this book, Seminar On Minimal Submanifolds. (AM-103), will be forthcoming.

(Paperback)

The aim of this book is to study various geometric properties and algebraic invariants of smooth projective varieties with infinite fundamental groups. This approach allows for much interplay between methods of algebraic geometry, complex analysis, the theory of harmonic maps, and topology. Making systematic use of Shafarevich maps, a concept previ

(Hardback)

(Paperback)

Considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. This book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension.

(Paperback)

Proves an analogue of Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. This book is suitable for graduate students interested in this area of research, as well as researchers in allied fields such as Kleinian groups and CR geometry.