This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelov-type theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kahler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the group-theoretic approach to Hodge structures is explained, leading to Mumford-Tate groups and their associated domains, the Mumford-Tate varieties and generalizations of Shimura varieties.

This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an explanation of Griffiths' basic theory, the authors go on to introduce spectral sequences and Koszul complexes that are used to derive results about cycles on higher-dimensional algebraic varieties such as the Noether-Lefschetz theorem and Nori's theorem. They explain differential geometric methods, leading up to proofs of Arakelov-type theorems, the theorem of the fixed part and the rigidity theorem. They also use Higgs bundles and harmonic maps to prove the striking result that not all compact quotients of period domains are Kahler. This thoroughly revised second edition includes a new third part covering important recent developments, in which the group-theoretic approach to Hodge structures is explained, leading to Mumford-Tate groups and their associated domains, the Mumford-Tate varieties and generalizations of Shimura varieties.

Setting the record straight once and for all, Genocide: How Your Doctor's Dietary Ignorance Will Kill You by Dr. James E. Carlson breaks the chains of ignorance when it comes to dieting and staying healthy. Concern for his patients led this medical doctor to unveil common misconceptions regarding carbohydrates, fat, proteins, sugars and cholesterol that are perpetrated and perpetuated by the medical community. Regrettably, with the advice of doctors millions of Americans are eating themselves into an early grave. Now, avoiding a priori reasoning, readers are able to draw their own conclusions on what lifestyle is best for them and how to initiate the most sensible diet possible. Take back your life-the fact is that low fat, low cholesterol diets are dangerous. With humor, wit and a good dose of common sense, this guide shows readers that a diet with daily sources of fat, cholesterol and protein is effective in treating disease.