Найти книгу: "Algebraic Surfaces in Positive Characteristics"

Customarily, the framework of algebraic geometry has been worked over an algebraically closed field of characteristic zero, say, over the complex number field. However, over a field of positive characteristics, many unpredictable phenomena arise where analyses will lead to further developments.In the present book, we consider first the forms of the affine line or the additive group, classification of such forms and detailed analysis. The forms of the affine line considered over the function field of an algebraic curve define the algebraic surfaces with fibrations by curves with moving singularities. These fibrations are investigated via the Mordell&#x2013;Weil groups, which are originally introduced for elliptic fibrations.This is the first book which explains the phenomena arising from purely inseparable coverings and Artin&#x2013;Schreier coverings. In most cases, the base surfaces are rational, hence the covering surfaces are unirational. There exists a vast, unexplored world of unirational surfaces. In this book, we explain the Frobenius sandwiches as examples of unirational surfaces.Rational double points in positive characteristics are treated in detail with concrete computations. These kinds of computations are not found in current literature. Readers, by following the computations line after line, will not only understand the peculiar phenomena in positive characteristics, but also understand what are crucial in computations. This type of experience will lead the readers to find the unsolved problems by themselves.<b>Contents:</b> <ul><li><b><i>Forms of the Affine Line:</i></b><ul><li>Picard Scheme and Jacobian Variety</li><li>Forms of the Affine Line</li><li>Groups of Russell Type</li><li>Hyperelliptic Forms of the Affine Line</li><li>Automorphisms</li><li>Divisor Class Groups</li></ul></li><li><b><i>Purely Inseparable and Artin&#x2013;Schreier Coverings:</i></b><ul><li>Vector Fields and Infinitesimal Group Schemes</li><li>Zariski Surfaces</li><li>Quasi-Elliptic or Quasi-Hyperelliptic Fibrations</li><li>Mordell-Weil Groupps of Quasi-Elliptic or Quasi-Hyperelliptic Surfaces</li><li>Artin-Schreier Coverings</li><li>Higher Derivations</li><li>Unified <i>p</i>-Group Scheme</li></ul></li><li><b><i>Rational Double Points:</i></b><ul><li>Basics on Rational Double Points</li><li>Deformation of Rational Double Points</li><li>Open Problems on Rational Double Points in Positive Characteristics</li></ul></li></ul><br><b>Readership:</b> Graduate students and researchers in the fields of Algebraic Geometry, Fields and Rings, and Commutative Algebra.Form of the Affine Line;Zariski Surface;Quasi-Elliptic Fibration;Mordell–Weil Group;Artin–Schreier Covering;Higher Derivation;Unified p-group Scheme;Rational Double Point;Versal Deformation;Equisingular Locus0<b>Key Features:</b><ul><li>The mainstreams of arguments are explained, followed by computations</li><li>Several concrete examples are given to elucidate the stated results</li><li>All in all, the present book is more for practice than learning a general theory</li></ul>

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Positively Smarter brings together seven principles for connecting the science of neuroplasticity to practical strategies for enhancing the synergy of happiness, achievement, and physical well-being. Moving beyond common myths, the text builds an evidence-based paradigm to empower readers to take practical steps to move forward. Brings together current research on cognitive psychology, education (learning), and implications of neuroscience to suggest powerful ways to enhance the kind of cognitive function and productivity that leads to happiness and success Applies implications of current research showing that happiness is a skill and that positive affect can lead to higher levels of creative problem solving, productivity, achievement, and well-being Shares research and strategies for supporting physical activity and nutrition that may enhance neuroplasticity, cognitive performance, and positive affect Puts learners first and then brings in the science, presenting creative or adaptive strategies that can be applied in the real world Includes action assessments to guide readers in taking concrete steps to achieve the goals they set for themselves Identifies deeply held assumptions that innate talent, genes, socioeconomic status, and ethnicity mean that a significant percentage of the population lacks the neurocognitive potential to achieve at higher levels Draws on the authors’ research from a broad range of fields in order to maximize the positive impact of a synergistic approach

A comprehensive guide to China's public, private, and internal audit system Study on the Auditing Theory of Socialism with Chinese Characteristics provides a comprehensive overview of China's auditing practices. Recent years have seen the National Audit Office of China (CNAO) making remarkable headway not only in China by guaranteeing the healthy operation of the economy and society and improving national governance through government auditing, but also in the international arena by carrying out audits with the United Nations. With constant development in the practice, an audit theory with socialist Chinese characteristics has taken shape, centering on the premise that government auditing serves as the cornerstone and safeguard of national governance. At the XXI INCOSAI held in 2013 in Beijing, the theme of “national audit and national governance” proposed and chaired by CNAO, was met with widespread approval by participants from over 160 countries, and led to the endorsement of the Beijing Declaration, which makes it a priority and target for audit institutions to promote good national governance. To explore the nature and development of government auditing, this book probes into the history and reality, and theories and practices of auditing in various countries, and puts forward the assertion that, “as a cornerstone and important safeguard for national governance, government auditing is an ‘immune system’ endogenous within the synthetical system of national governance, with functions of precaution, revelation and defense.” Furthermore, China’s socialist auditing theory has been elaborated in nine aspects, nature, functions, goals, features, methods, management, framework of regulations and standards, IT application and culture, covering the new concepts, methodologies, techniques and achievements of China's government auditing. This book is highly relevant, practical, and readable. Jiayi Liu, the chief author, is the Auditor General of China and the current Chairman of INTOSAI Governing Board. In 2013 he won the United Nations Peace Prize in recognition of his auditing work for UN peacekeeping operations.

It's no longer good enough to build a company to last; today it's about building a company to ignite change. The Power of Positive Destruction reveals how to start a new business, disrupt an industry, and adapt to changing environments by leveraging technology and a new mindset. Serial entrepreneur Seth Merrin has built businesses by seeing issues with the status quo and introducing positive changes that have disrupted—and revolutionized—industries. In this book, he breaks down his process step-by-step to show you what you need to know to successfully start a company and transform an industry. Merrin's incredible story, coupled with real, actionable advice, will resonate with anyone who wants to be a catalyst of change. With this book, readers will learn to see the inefficiencies, ineptitudes, and everyday problems that others dismiss as the cost of doing business and create «unfair competitive advantages» to stack the deck—and win. You'll see how problems in current business models are really opportunities of which to take advantage and learn what you need to know and do to seize those opportunities —no matter where you work. Seth Merrin saw Wall Street as it was, then built a company to turn it into what it could be—safer and more efficient for investors. This book shows you how he did it, and how you can too, with the power of positive destruction. Discover how to turn status quo into disruption Understand how to stack the deck in your favor to achieve the best possible chances of success Learn how to build and run a company and design a culture for constant change Acquire new skills to create strategy, sell your disruptive product or service, and negotiate effectively Technology and innovation can disrupt or transform any industry. It's happening faster and more broadly now than ever, creating myriad opportunities for everyone. But winning in this new world is not easy. The incumbents will fight mightily against it and even those who would benefit from change may first express fear. This book reveals the techniques from identifying the opportunities to designing and executing the strategy you'll need to succeed. With The Power of Positive Destruction you can to tap into your inner change agent and transform your company, your industry, and the world.

The difference between flourishing and floundering is 10X. The difference between quantity and quality is a factor of 10. The difference in levels of engagement is exponential. People functioning at the highest level are what the authors call 10x leaders. Research on these leaders consistently brought up five major strengths. This book teaches readers to become a 10x leader using these five key areas, the SHARP framework. ? Strengths: 10X leaders stop trying to eliminate weaknesses and learn to focus on their strengths ? Health: 10X leaders stop trying to eliminate stress and learn how to integrate periods of restoration ? Absorption: 10X leaders stop waiting for the lightning of focus and creativity to strike and learn how to achieve consistent engagement and presence ? Relationships: 10X leaders stop trying to exert power and control and learn to cultivate healthy relationships through positivity and authenticity ? Purpose: 10X leaders stop grinding out tasks and learn how to find meaning and commitment in everything they do The 10X elixir of peak performance comes not from focusing on just one of these areas, but from learning to light the fire of all five aspects of SHARP and functioning naturally with them on a daily basis. If you just cultivate one or two aspects of leadership skills you are unlikely to succeed. If one of the five isn’t taken care of it affects the performance of the whole. But if you focus on all five areas, you will not only be more likely to find what helps you most, you have the best chance of enjoying the synergy of performance multiplication.