1.

Record Nr.

UNINA9910480165303321

Titolo

Quadratic forms : algebra, arithmetic, and geometry / / Ricardo Baeza [and three others], editors

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2009]

©2009

ISBN

0-8218-8172-8

0-8218-4648-5

Descrizione fisica

1 online resource (424 p.)

Collana

Contemporary mathematics ; ; 493

Disciplina

512.7/4

Soggetti

Forms, Quadratic

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Algebraic and Arithmetic Theory of Quadratic Forms, December 13-19, 2007, Frutillar, Chile."

"This volume presents a collection of articles that are based on talks delivered at the International Conference on the Algebraic and Arithmetic Theory of Quadratic Forms held in Frutillar, Chile in December 2007"--P. [4] of cover.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""Contents""; ""Preface""; ""List of Participants""; ""H1(X, Î?) of conics and Witt kernels in characteristic 2""; ""Pythagoras numbers and quadratic field extensions""; ""On perfection relations in lattices""; ""Linear independence of local densities of quadratic forms and its application to the theory of Siegel modular forms""; ""Representation of reduced special groups in algebras of continous functions""; ""Solubility of Fermat equations""; ""Multiplicative properties of integral binary quadratic forms""; ""Effective structure theorems for symplectic spaces via height""

""Orthogonal involutions on algebras of degree 16 and the Killing form of E8 (with an appendix by Kirill Zainoulline)""""The first Zariski cohomology group of the Witt sheaf over a split simply connected simple algebraic group""; ""On families of testing formulae for a pp formula""; ""Siegel modular forms of small weight and the Witt operator""; ""On isotropy of quadratic pairs""; ""Specialization of forms in the presence of characteristic 2: first steps""; ""Representation of



integers by special positive definite integral quadratic forms""

""Hyper-isotropy of bilinear forms in characteristic 2""""A historical view of the Pythagoras numbers of fields""; ""The extensions of R-places and application""; ""Essential dimension""; ""On the Pfister number of quadratic forms""; ""Martin Kneser�s work on quadratic forms and algebraic groups""; ""Enumerating perfect forms""; ""Reduction mod l of Theta Series of Level ln""; ""On a reciprocity theorem of Gauss""; ""A bound of the number of reduced Arakelov divisors of a number field""

2.

Record Nr.

UNINA9910789907403321

Autore

Gause F. Gregory

Titolo

Saudi Arabia in the New Middle East [[electronic resource] /] / F. Gregory Gause III

Pubbl/distr/stampa

New York, : Council on Foreign Relations, Center for Preventive Action, c2011

ISBN

0-87609-517-1

Descrizione fisica

1 online resource (64 p.)

Collana

Council special report ; ; no. 63

Disciplina

320.9538

Soggetti

International relations - History - 21st century

Saudi Arabia Politics and government 21st century

Saudi Arabia Foreign relations United States

United States Foreign relations Saudi Arabia

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Description based upon print version of record.

Nota di contenuto

""Contents""; ""Foreword""; ""Acknowledgments""; ""Map""; ""Introduction""; ""Regime Stability in Saudi Arabia""; ""Saudi Regional Policy in the Wake of the Arab Upheaval""; ""Saudi-U.S. Relations""; ""Conclusion""; ""Endnotes""; ""About the Author""; ""Advisory Committee""; ""CPA Advisory Committee""; ""Mission Statement of the Center for Preventive Action""; ""Council Special Reports""

Sommario/riassunto

The United States' relationship with Saudi Arabia has been one of the cornerstones of U.S. policy in the Middle East for decades. Despite their substantial differences in history, culture, and governance, the two countries have generally agreed on important political and economic issues and have often relied on each other to secure mutual aims. Their



ongoing cooperation on maintaining regional stability, moderating the global oil market, and pursuing terrorists should not be downplayed. Yet for all the relationship's importance, it is increasingly imperiled by mistrust and misunderstanding. One major question is Saudi Arabia's stability. In this report, the author explores the foundations of Riyadh's present stability and potential sources of future unrest. It is difficult not to notice that Saudi Arabia avoided significant upheaval during the political uprisings that swept the Middle East in 2011, despite sharing many of the social and economic problems of Egypt, Yemen, and Libya. But unlike their counterparts in Cairo, Sanaa, and Tripoli, Riyadh's leadership was able to maintain order in large part by increasing public spending on housing and salaries, relying on loyal and well-equipped security forces, and utilizing its extensive patronage networks. The divisions within the political opposition also helped the government's cause. This is not to say that the stability of the House of Saud is assured. The author points out that the top heirs to the throne are elderly and the potential for disorderly squabbling may increase as a new generation enters the line of succession. Moreover, the population is growing quickly, and there is little reason to believe that oil will forever be able to buy social tranquility. Perhaps most important, the author argues, the leadership's response to the 2011 uprisings did little to forestall future crises; an opportunity for manageable political reform was mostly lost.