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1. |
Record Nr. |
UNINA9910154746203321 |
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Autore |
Katz Nicholas M. |
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Titolo |
Rigid Local Systems. (AM-139), Volume 139 / / Nicholas M. Katz |
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Pubbl/distr/stampa |
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Princeton, NJ : , : Princeton University Press, , [2016] |
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©1996 |
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ISBN |
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Descrizione fisica |
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1 online resource (233 pages) |
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Collana |
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Annals of Mathematics Studies ; ; 321 |
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Disciplina |
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Soggetti |
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Differential equations - Numerical solutions |
Hypergeometric functions |
Sheaf theory |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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Frontmatter -- Contents -- Introduction -- CHAPTER 1. First results on rigid local systems -- CHAPTER 2. The theory of middle convolution -- CHAPTER 3. Fourier Transform and rigidity -- CHAPTER 4. Middle convolution: dependence on parameters -- CHAPTER 5. Structure of rigid local systems -- CHAPTER 6. Existence algorithms for rigids -- CHAPTER 7. Diophantine aspects of rigidity -- CHAPTER 8. Motivic description of rigids -- CHAPTER 9. Grothendieck's p-curvature conjecture for rigids -- References |
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Sommario/riassunto |
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Riemann introduced the concept of a "local system" on P1-{a finite set of points} nearly 140 years ago. His idea was to study nth order linear differential equations by studying the rank n local systems (of local holomorphic solutions) to which they gave rise. His first application was to study the classical Gauss hypergeometric function, which he did by studying rank-two local systems on P1- {0,1,infinity}. His investigation was successful, largely because any such (irreducible) local system is rigid in the sense that it is globally determined as soon as one knows separately each of its local monodromies. It became clear that luck played a role in Riemann's success: most local systems are not rigid. Yet many classical functions are solutions of differential equations whose local systems are rigid, including both of the standard nth order generalizations of the hypergeometric function, n F n-1's, and the |
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Pochhammer hypergeometric functions. This book is devoted to constructing all (irreducible) rigid local systems on P1-{a finite set of points} and recognizing which collections of independently given local monodromies arise as the local monodromies of irreducible rigid local systems. Although the problems addressed here go back to Riemann, and seem to be problems in complex analysis, their solutions depend essentially on a great deal of very recent arithmetic algebraic geometry, including Grothendieck's etale cohomology theory, Deligne's proof of his far-reaching generalization of the original Weil Conjectures, the theory of perverse sheaves, and Laumon's work on the l-adic Fourier Transform. |
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2. |
Record Nr. |
UNINA9910786820903321 |
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Autore |
Dorff Michael <1970-> |
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Titolo |
Indispensable and other myths : why the CEO pay experiment failed and how to fix it / / Michael Dorff |
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Pubbl/distr/stampa |
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Berkeley, California ; ; Los Angeles, California ; ; London : , : University of California Press, , 2014 |
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©2014 |
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ISBN |
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Descrizione fisica |
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1 online resource (327 p.) |
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Disciplina |
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Soggetti |
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Chief executive officers - Salaries, etc |
Executives - Salaries, etc - United States |
Compensation management - United States |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di contenuto |
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Front matter -- Contents -- Acknowledgments -- 1. Introduction -- 2. The Puzzles of CEO Compensation -- 3. The Corporate Personality Myth -- 4. Market Mythology -- 5. Incentives Mythology -- 6. Performance Pay Mythology -- 7. Causation Mythology -- 8. Predictability Mythology -- 9. Alignment Mythology -- 10. Moving Forward -- Notes -- Index |
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Sommario/riassunto |
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Prodded by economists in the 1970's, corporate directors began adding |
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stock options and bonuses to the already-generous salaries of CEO's with hopes of boosting their companies' fortunes. Guided by largely unproven assumptions, this trend continues today. So what are companies getting in return for all the extra money? Not much, according to the empirical data. In Indispensable and Other Myths: Why the CEO Pay Experiment Failed and How to Fix It, Michael Dorff explores the consequences of this development. He shows how performance pay has not demonstrably improved corporate performance and offers studies showing that performance pay cannot improve performance on the kind of tasks companies ask of their CEO's. Moreover, CEO's of large established companies do not typically have much impact on their companies' results. In this eye-opening exposé, Dorff argues that companies should give up on the decades-long experiment to mold compensation into a corporate governance tool and maps out a rationale for returning to the era of guaranteed salaries. |
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