This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation. Simple explicit topological invariants are elaborated for identifying the deformation classes of real Enriques surfaces. Some of theses are new and can be applied to other classes of surfaces or higher-dimensional varieties. Intended for researchers and graduate students in real algebraic geometry it may also interest others who want to become familiar with the field and its techniques. The study relies on topology of involutions, arithmetics of integral quadratic forms, algebraic geometry of surfaces, and the hyperkähler structure of K3-surfaces. A comprehensive summary of the necessary results and techniques from each of these fields is included. Some results are developed further, e.g., a detailed study of lattices with a pair of commuting involutions and a certain class of rational complex surfaces.
This volume is dedicated to the memory of the Russian mathematician, V.A. Rokhlin (1919-1984). It is a collection of research papers written by his former students and followers, who are now experts in their fields. The topics in this volume include topology (the Morse-Novikov theory, spin bordisms in dimension 6, and skein modules of links), real algebraic geometry (real algebraic curves, plane algebraic surfaces, algebraic links, and complex orientations), dynamics (ergodicity, amenability, and random bundle transformations), geometry of Riemannian manifolds, theory of Teichmuller spaces, measure theory, etc. The book also includes a biography of Rokhlin by Vershik and two articles which should prove of historical interest.
K3 surfaces are central objects in modern algebraic geometry. This book examines this important class of Calabi–Yau manifolds from various perspectives in eighteen self-contained chapters. It starts with the basics and guides the reader to recent breakthroughs, such as the proof of the Tate conjecture for K3 surfaces and structural results on Chow groups. Powerful general techniques are introduced to study the many facets of K3 surfaces, including arithmetic, homological, and differential geometric aspects. In this context, the book covers Hodge structures, moduli spaces, periods, derived categories, birational techniques, Chow rings, and deformation theory. Famous open conjectures, for example the conjectures of Calabi, Weil, and Artin–Tate, are discussed in general and for K3 surfaces in particular, and each chapter ends with questions and open problems. Based on lectures at the advanced graduate level, this book is suitable for courses and as a reference for researchers.
This volume contains peer-reviewed manuscripts describing the scientific and technological advances presented at the 6th Natural Gas Conversion Sumposium held in Alaska in June 2001. This symposium continues the tradition of excellence and the status as the premier technical meeting in this area established by previous meetings.The 6th Natural Gas Conversion Symposium is conducted under the overall direction of the Organizing Committee. The Program Committee was responsible for the review, selection, editing of most of the manuscripts included in this volum. A standing International Advisory Board has ensured the effective long-term planning and the continuity and technical excellence of these meetings.
Metallic Powders for Additive Manufacturing Overview of successful pathways for producing metal powders for additive manufacturing of high-performance metallic parts and components with tailored properties Metallic Powders for Additive Manufacturing introduces the readers to the science and technology of atomized metal powders beyond empirical knowledge and the fundamental relationships among the chemistry, microstructure, and morphology of atomized metallic powders and their behavior during additive manufacturing. The text sets a foundation of the underlying science that controls the formation and microstructure of atomized metallic droplets, including the relations among the properties of metallic powders, their performance during the manufacturing processes, and the resulting products. Other topics covered include the influence of powder on defect formation, residual stress, mechanical behavior, and physical properties. The concluding two chapters encompass considerations of broader societal implications and overarching themes, including the exploration of alternative feedstock materials, economic analysis, and sustainability assessment. These chapters offer valuable perspectives on the prospective trajectory of the field. Written by a team of experienced and highly qualified professors and academics, Metallic Powders for Additive Manufacturing includes information on: Atomization techniques such as Vacuum Induction Gas Atomization (VIGA), Electrode Induction Melting Gas Atomization (EIMGA), and Plasma Rotating Electrode Process (PREP) Atomization science and technology, covering control of atomization parameters, powder size distribution, effect of processing variables, and theoretical models of atomization Heat transfer and solidification of droplets, covering nucleation, microstructure development, and important thermal and solidification conditions during atomization Atomization of Al, Fe, Ni, Co, Ti, and high entropy alloys, as well as composite powders for additive manufacturing, and guidelines for atomization equipment and powder handling Fundamental processing principles in a variety of metal additive manufacturing processes Powder characteristics and requirements for different additive manufacturing processes Effect of powder chemistry and physical characteristics on additive manufacturing processes, and the microstructure and properties of the built parts Evaluation of alternative feedstock sources for metal additive manufacturing, beyond gas atomized powder Economic and sustainability perspectives on powder production and additive manufacturing Metallic Powders for Additive Manufacturing is an excellent combination of rigorous fundamentals and a practice-oriented and forward-looking resource on the subject for materials scientists and practicing engineers seeking to understand, optimize, and further develop the field of powder production and additive manufacturing.
Overland flow modelling has been an active field of research for some years, but developments in numerical methods and computational resources have recently accelerated progress, producing models for different geometries and types of flows, such as simulations of canal and river networks. Flow in canals has traditionally been described using
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