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Family & Home The alpha male program For Dating and Relationships
Family & Home Things a Monkey Could Cook by Jean Stites
Family & Home Cheese and Cheese-Making by James Long, John Benson
Family & Home Eat to Lose Weight
Family & Home Low Carb Holiday Recipes
Family & Home Low Carb Holiday Recipes
Family & Home Eat to Lose Weight
Family & Home Low Carb Holiday Recipes
Family & Home Low Carb Holiday Recipes
Family & Home Gourmet Garden Salads
Family & Home Chinese - Japanese Cook Book
Family & Home The Physiology of Taste, or Meditations on Transcendental Gastronomy
Family & Home Cocktails and mixed drinks
Family & Home Momofuku
Family & Home Easy Vegetarian: Uncomplicated and Sophisticated Vegetarian Recipes for All Seasons (Quick & Easy)
Family & Home Joseph T. Catalano - Nursing Now!: Today's Issues, Tomorrow's Trends (4th edition)
Family & Home 100 Rezepte Internationale Fisch - Spezialitäten
Family & Home Culinary Calculations: Simplified Math for Culinary Professionals (repost)
Family & Home Tapas and More Great Dishes from Spain
Family & Home A Little Irish Cookbook
Family & Home Things a Monkey Could Cook by Jean Stites
Family & Home Cheese and Cheese-Making by James Long, John Benson
Family & Home Eat to Lose Weight
Family & Home Low Carb Holiday Recipes
Family & Home Low Carb Holiday Recipes
Family & Home Eat to Lose Weight
Family & Home Low Carb Holiday Recipes
Family & Home Low Carb Holiday Recipes
Family & Home Gourmet Garden Salads
Family & Home Chinese - Japanese Cook Book
Family & Home The Physiology of Taste, or Meditations on Transcendental Gastronomy
Family & Home Cocktails and mixed drinks
Family & Home Momofuku
Family & Home Easy Vegetarian: Uncomplicated and Sophisticated Vegetarian Recipes for All Seasons (Quick & Easy)
Family & Home Joseph T. Catalano - Nursing Now!: Today's Issues, Tomorrow's Trends (4th edition)
Family & Home 100 Rezepte Internationale Fisch - Spezialitäten
Family & Home Culinary Calculations: Simplified Math for Culinary Professionals (repost)
Family & Home Tapas and More Great Dishes from Spain
Family & Home A Little Irish Cookbook
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Family & Home Moments, Monodromy, and Perversity: A Diophantine Perspective
Posted on 2010-03-16
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More Moments, Monodromy, and Perversity: A Diophantine Perspective It is now some thirty years since Deligne first proved his general equidistribution theorem, thus establishing the fundamental result governing the statistical properties of suitably "pure" algebro-geometric families of character sums over finite fields (and of their associated L-functions). Roughly speaking, Deligne showed that any such family obeys a "generalized Sato-Tate law," and that figuring out which generalized Sato-Tate law applies to a given family amounts essentially to computing a certain complex semisimple (not necessarily connected) algebraic group, the "geometric monodromy group" attached to that family. Up to now, nearly all techniques for determining geometric monodromy groups have relied, at least in part, on local information. In Moments, Monodromy, and Perversity, Nicholas Katz develops new techniques, which are resolutely global in nature. They are based on two vital ingredients, neither of which existed at the time of Deligne's original work on the subject. The first is the theory of perverse sheaves, pioneered by Goresky and MacPherson in the topological setting and then brilliantly transposed to algebraic geometry by Beilinson, Bernstein, Deligne, and Gabber. The second is Larsen's Alternative, which very nearly characterizes classical groups by their fourth moments. These new techniques, which are of great interest in their own left, are first developed and then used to calculate the geometric monodromy groups attached to some quite specific universal families of (L-functions attached to) character sums over finite fields. RAR archive password: twilightzone
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