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#### Cohomological and Geometric Approaches to Rationality Problems

Springer 2010; US$ 179.00Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety. A major success in 19th century algebraic geometry was a complete solution of the rationality problem in dimensions one and two over algebraically closed ground fields of... more...

#### Complex Multiplication

Cambridge University Press 2010; US$ 104.00A self-contained 2010 account of the state of the art in classical complex multiplication. more...

#### Lectures on Algebraic Cycles

Cambridge University Press 2010; US$ 60.00Spencer Bloch's landmark lectures are finally back in print, with a new preface by the author reflecting on recent developments. more...

#### The Grothendieck Festschrift, 3

Springer 2006; US$ 69.99Comprises of articles that were offered as a tribute to one of the world's greatest mathematician, Alexander Grothendieck. This book carries contributions that contain material that is considered foundational to the subject. It carries topics that are addressed by top-notch contributors to match the breadth of Grothendieck's own interests. more...

#### Liaison, Schottky Problem and Invariant Theory

Springer 2010; US$ 129.00This volume is a homage to the memory of the Spanish mathematician Federico Gaeta (1923-2007). Apart from a historical presentation of his life and interaction with the classical Italian school of algebraic geometry, the volume presents surveys and original research papers on the mathematics he studied. Specifically, it is divided into three parts:... more...

#### The Grothendieck Festschrift

Springer 2009; US$ 89.99This three-volume work contains articles collected on the occasion of Alexander Grothendieck's sixtieth birthday and originally published in 1990. The articles were offered as a tribute to one of the world's greatest living mathematicians. Many of the groundbreaking contributions in these volumes contain material that is now considered foundational... more...

#### Poncelet Porisms and Beyond

Springer 2011; US$ 74.95The goal of the book is to present, in a complete and comprehensive way, areas of current research interlacing around the Poncelet porism: dynamics of integrable billiards, algebraic geometry of hyperelliptic Jacobians, and classical projective geometry of pencils of quadrics. The most important results and ideas, classical as well as modern, connected... more...

#### Questions on Algebraic Varieties

Springer 2011; US$ 49.95P. Dolbeault: Residus et courants.- D. Mumford: Varieties defined by quadratic equations.- A. Neron: Hauteurs et theorie des intersections.- A. Seidenberg: Report on analytic product.- C.S. Seshadri: Moduli of p-vector bundles over an algebraic curve.- O. Zariski: Contributions to the problem of equi-singularity. more...

#### Teorema di Riemann-Roch e questioni connesse

Springer 2011; US$ 19.95B.L. van der Waerden: D monstration alg brique du th or me de Riemann-Roch.- F. Severi: Del teorema di Riemann-Roch per curve, superficie e variet . Le origini storiche e lo stato attuale.- F. Hirzebruch: Arithmetic genera and the theorem of Riemann-Roch. more...

#### Some Problems of Unlikely Intersections in Arithmetic and Geometry (AM-181)

Princeton University Press 2012; US$ 78.50This book 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. More generally, the book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension. The book is an expansion... more...