Cox Rings

Author: Ivan Arzhantsev,Ulrich Derenthal,Jürgen Hausen,Antonio Laface

Publisher: Cambridge University Press

ISBN: 1107024625

Category: Mathematics

Page: 472

View: 9961

This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.

Combinatorial Algebraic Geometry

Selected Papers From the 2016 Apprenticeship Program

Author: Gregory G. Smith,Bernd Sturmfels

Publisher: Springer

ISBN: 1493974866

Category: Mathematics

Page: 390

View: 5867

This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results.

Torsors, Étale Homotopy and Applications to Rational Points

Author: Alexei N. Skorobogatov

Publisher: Cambridge University Press

ISBN: 1107245265

Category: Mathematics

Page: N.A

View: 2850

Torsors, also known as principal bundles or principal homogeneous spaces, are ubiquitous in mathematics. The purpose of this book is to present expository lecture notes and cutting-edge research papers on the theory and applications of torsors and étale homotopy, all written from different perspectives by leading experts. Part one of the book contains lecture notes on recent uses of torsors in geometric invariant theory and representation theory, plus an introduction to the étale homotopy theory of Artin and Mazur. Part two of the book features a milestone paper on the étale homotopy approach to the arithmetic of rational points. Furthermore, the reader will find a collection of research articles on algebraic groups and homogeneous spaces, rational and K3 surfaces, geometric invariant theory, rational points, descent and the Brauer–Manin obstruction. Together, these give a state-of-the-art view of a broad area at the crossroads of number theory and algebraic geometry.

Arithmetic of Higher-Dimensional Algebraic Varieties

Author: Bjorn Poonen,Yuri Tschinkel

Publisher: Springer Science & Business Media

ISBN: 9780817632595

Category: Mathematics

Page: 287

View: 8747

One of the great successes of twentieth century mathematics has been the remarkable qualitative understanding of rational and integral points on curves, gleaned in part through the theorems of Mordell, Weil, Siegel, and Faltings. It has become clear that the study of rational and integral points has deep connections to other branches of mathematics: complex algebraic geometry, Galois and étale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory. This text, which focuses on higher-dimensional varieties, provides precisely such an interdisciplinary view of the subject. It is a digest of research and survey papers by leading specialists; the book documents current knowledge in higher-dimensional arithmetic and gives indications for future research. It will be valuable not only to practitioners in the field, but to a wide audience of mathematicians and graduate students with an interest in arithmetic geometry. Contributors: Batyrev, V.V.; Broberg, N.; Colliot-Thélène, J-L.; Ellenberg, J.S.; Gille, P.; Graber, T.; Harari, D.; Harris, J.; Hassett, B.; Heath-Brown, R.; Mazur, B.; Peyre, E.; Poonen, B.; Popov, O.N.; Raskind, W.; Salberger, P.; Scharaschkin, V.; Shalika, J.; Starr, J.; Swinnerton-Dyer, P.; Takloo-Bighash, R.; Tschinkel, Y.: Voloch, J.F.; Wittenberg, O.

The Rings of Time

Author: Greg Cox

Publisher: Simon and Schuster

ISBN: 1451655495

Category: Fiction

Page: 384

View: 5100

A Simon & Schuster eBook. Simon & Schuster has a great book for every reader.

Allen's Astrophysical Quantities

Author: Clabon Walter Allen,Arthur N. Cox

Publisher: Springer Science & Business Media

ISBN: 9780387987460

Category: Science

Page: 719

View: 3865

This new edition of Allen's classic "Astrophysical Quantities" belongs on every astronomer's bookshelf. It has been thoroughly revised and updated by a team of internationally renowned team of astronomers and astrophysicists. Topics covered include: * General constants and units * Atoms, molecules, and spectra * Observational astronomy at all wavelengths from radio to gamma-rays, and neutrinos * Planetary astronomy: Earth, planets and satellites, and solar system small bodies * The Sun, normal stars, and stars with special characteristics * Cataclysmic and symbiotic variables, supernovae * Theoretical stellar evolution * Circumstellar and interstellar material * Star clusters, galaxies, quasars, and active galactic nuclei * Clusters and groups of galaxies * Cosmology

Code Blue

Author: Renee Christine Smith

Publisher: AuthorHouse

ISBN: 1496930118

Category: Fiction

Page: 188

View: 8879

Life takes us on several journeys. For these five friends—Brandon, Kevin, Marc, Miguel, and Sun—life will take all of them on an array of journeys. The first journey will be graduating from high school. The second journey will be their acceptance to Bethel College Medical School. The third journey will be as resident doctors, where their lives will take an unexpected turn. The final journey will be a second chance to start life over. Code Blue is the story of five teenage boys who graduate high school and get accepted to medical school at Bethel College. These five medical students will forge a bond in college and become friends. Do these five friends have another interest besides medicine?


Author: Timothy Gowers

Publisher: N.A

ISBN: 9783150187067


Page: 207

View: 3009


Donovan's Charge

A Drama in 3 Rings

Author: Glenn Cox,E. Merwin

Publisher: N.A

ISBN: 9780692543139


Page: 140

View: 8622

If you were cornered in your room, attacked with two weapons--would you fight for your life? DONOVAN'S CHARGE recounts the drama of how one New Yorker-city worker, life guard, counselor-fights off an attacker and administers CPR until the arrival of the police-only to find himself on Riker's Island, facing a murder charge. When his attacker dies, Cox is found guilty of murder and receives a life sentence. After two years in a law library, Cox wins his appeal and the conviction is overturned unanimously by five Appellate Judges. On hearing the good news that the charge has been reduced-family, friends, officers and inmates anticipate Cox's release. However, he is again hit with the max-a sentence of which he will serve 17 years. Based on trial transcripts and witness accounts, the drama recreates the attack, the trial and Cox's life in this 3 ring circus. Its main theme is innocence, both in court and in spirit. And how one man preserves his-with the help of the spirit of the boy who, with his toy soldiers and trusty steed Donovan, stays by his side until the day they are released. Today a NYC subway singer-Glenn continues to rely on the spirit of the boy within for creative strength.

American Edition of the British Encyclopedia

Or, Dictionary of Arts and Sciences ; Comprising an Accurate and Popular View of the Present Improved State of Human Knowledge

Author: William Nicholson

Publisher: N.A


Category: Natural history

Page: N.A

View: 6181


Lord of the Rings

The Mythology of Power

Author: Jane Chance

Publisher: University Press of Kentucky

ISBN: 0813138019

Category: Literary Criticism

Page: 184

View: 3418

" With New Line Cinema's production of The Lord of the Rings film trilogy, the popularity of the works of J.R.R. Tolkien is unparalleled. Tolkien's books continue to be bestsellers decades after their original publication. An epic in league with those of Spenser and Malory, The Lord of the Rings trilogy, begun during Hitler's rise to power, celebrates the insignificant individual as hero in the modern world. Jane Chance's critical appraisal of Tolkien's heroic masterwork is the first to explore its "mythology of power"--that is, how power, politics, and language interact. Chance looks beyond the fantastic, self-contained world of Middle-earth to the twentieth-century parallels presented in the trilogy.