Texas, that most singular of states, conceals an entire parade of peculiar events and exceptional people in the back pages of its history books. A Lone Star man once (and only once) tried to bulldog a steer from an airplane. One small Texas town was attacked by the Japanese, while another was "liberated" from America during the Cold War. Texan career choices include goat gland doctor, rubbing doctor, striking cowboy and singing cowboy, not to mention swatter, tangler and dunker. From gunslinger Sally Skull to would-be rainmaker R.G. Dyrenforth, Clay Coppedge collects the distinctive odds and ends of Texan lore.
This book is an introduction to singularities for graduate students and researchers. Algebraic geometry is said to have originated in the seventeenth century with the famous work Discours de la méthode pour bien conduire sa raison, et chercher la vérité dans les sciences by Descartes. In that book he introduced coordinates to the study of geometry. After its publication, research on algebraic varieties developed steadily. Many beautiful results emerged in mathematicians’ works. First, mostly non-singular varieties were studied. In the past three decades, however, it has become clear that singularities are necessary for us to have a good description of the framework of varieties. For example, it is impossible to formulate minimal model theory for higher-dimensional cases without singularities. A remarkable fact is that the study of singularities is developing and people are beginning to see that singularities are interesting and can be handled by human beings. This book is a handy introduction to singularities for anyone interested in singularities. The focus is on an isolated singularity in an algebraic variety. After preparation of varieties, sheaves, and homological algebra, some known results about 2-dimensional isolated singularities are introduced. Then a classification of higher-dimensional isolated singularities is shown according to plurigenera and the behavior of singularities under a deformation is studied. In the second edition, brief descriptions about recent remarkable developments of the researches are added as the last chapter.
Profiler Sarah Armstrong knows what it's like to be in a sticky situation. As a single mother and one of the few female Rangers in Texas history, she has had to work twice as hard to rank among the best cops in the Lone Star State. But when megawealthy businessman Edward Lucas III is found murdered along with his mistress, their bodies posed in grotesque ways, Sara quickly senses that this will be the deadliest case of her career. While others focus the investigation on Lucas's estranged wife, Sarah disagrees and hunts a suspect only she believes in. Yet nothing in her career could have prepared her for the horror of a young man who believes he has been sent from heaven to massacre innocent people. When Sarah picks up on the killer's elusive trail, following his scent all over Texas, the psychopath makes her his next target. And as Sarah closes in, the madman sets his sights on all she holds dear. Singularity features a feisty, funny, and tough heroine and a truly creepy killer, as it races along to a chilling and unexpected climax.
Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences. This book presents the basic singularity theory of analytic spaces, including local deformation theory and the theory of plane curve singularities. It includes complete proofs.
This volume contains the proceedings of an AMS special session held at the 1999 Joint Mathematics Meetings in San Antonio. The participants were an international group of researchers studying singularities from algebraic and analytic viewpoints. The contributed papers contain original results as well as some expository and historical material. This volume is dedicated to Oscar Zariski, on the one hundredth anniversary of his birth. Topics include the role of valuation theory in algebraic geometry with recent applications to the structure of morphisms; algorithmic approaches to resolution of equisingular surface singularities and locally toric varieties; weak subintegral closures of ideals and Rees valuations; constructions of universal weakly subintegral extensions of rings; direct-sum decompositions of finitely generated modules; construction and examples of resolution graphs of surface singularities; Jacobians of meromorphic curves; investigation of spectral numbers of curve singularities using Puiseux pairs; Gröbner basis calculations of Hochschild homology for hypersurfaces with isolated singularities; and the theory of characteristic classes of singular spaces - a brief history with conjectures and open problems.
“Propulsive . . . The novel’s chaotic sprawl, black humor and madcap digressions make it a thrilling rejoinder to the tidy story arcs [of] most crime fiction.” —The Wall Street Journal Winner of the PEN/Robert W. Bingham Prize for Best Debut Novel Named a Best Book of the Year in the Wall Street Journal, Houston Chronicle, and Philadelphia City Paper A Naked Singularity tells the story of Casi, born to Colombian immigrants, who lives in Brooklyn and works in Manhattan as a public defender—one who, tellingly, has never lost a trial. Never. In the book, we watch what happens when his sense of justice and even his sense of self begin to crack—and how his world then slowly devolves. A huge, ambitious novel in the vein of DeLillo, Foster Wallace, Pynchon, and even Melville, it’s told in a distinct, frequently hilarious voice, with a striking human empathy at its center. Its panoramic reach takes readers through crime and courts, immigrant families and urban blight, media savagery and media satire, scatology and boxing, and even a breathless heist worthy of any crime novel. If Infinite Jest stuck a pin in the map of mid-90s culture and drew our trajectory from there, A Naked Singularity does the same for the feeling of surfeit, brokenness, and exhaustion that permeates our civic and cultural life today. In the opening sentence of William Gaddis’s A Frolic of His Own, a character sneers, “Justice? You get justice in the next world. In this world, you get the law.” A Naked Singularity reveals the extent of that gap, and lands firmly on the side of those who are forever getting the law. “A great American novel.” —Toronto Star
A workshop on Singularities, Bifurcation and Dynamics was held at Warwick in July 1989 as part of a year-long symposium on Singularity Theory and its applications. The proceedings fall into two halves: Volume I mainly on connections with algebraic geometry and volume II on connections with dynamical systems theory, bifurcation theory, and applications in the sciences. The papers are orginal research, stimulated by the symposium and workshops: All have been refereed, and none will appear elsewhere. The main topic, deformation theory, is represented by several papers on descriptions of the bases of versal deformations, and several more on descriptions of the generic fibres. Other topics include stratifications, and applications to differential geometry.
The present book deals with the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations, which are currently used in many fields of engineering mechanics with applied character, like elasticity, plasticity, thermoelastoplasticity, viscoelasticity, viscoplasticity, fracture mechanics, structural analysis, fluid mechanics, aerodynamics and elastodynamics. These types of singular integral equations form the latest high technology on the solution of very important problems of solid and fluid mechanics and therefore special attention should be given by the reader of the present book, who is interested for the new technology of the twentieth-one century. Chapter 1 is devoted with a historical report and an extended outline of References, for the finite-part singular integral equations, the multidimensional singular integral equations and the non-linear singular integral equations. Chapter 2 provides a finite-part singular integral representation analysis in Lp spaces and in general Hilbert spaces. In the same Chapter are investigated all possible approximation methods for the numerical evaluation of the finite-part singular integral equations, as closed form solutions for the above type of integral equations are available only in simple cases. Also, Chapter 2 provides further a generalization of the well known Sokhotski-Plemelj formulae and the Nother theorems, for the case of a finite-part singular integral equation.
ICM 2010 proceedings comprises a four-volume set containing articles based on plenary lectures and invited section lectures, the Abel and Noether lectures, as well as contributions based on lectures delivered by the recipients of the Fields Medal, the Nevanlinna, and Chern Prizes. The first volume will also contain the speeches at the opening and closing ceremonies and other highlights of the Congress.
