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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 Kähler. 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 generalization

Written by two respected academics who work with a highly-regarded social enterprise incubator, this is the first social enterprise textbook to combine theory with current cases from around the world

Griffiths generalised the idea of a period of an integral and introduced period maps and period domains which reflect the complex structures for higher-dimensional varieties. This 2003 book discusses

The classic bestseller--expanded and updatedFor years, many veterinary treatments for cats were based on research conducted with dogs because it was wrongly assumed that cats were very similar. Recent

The Dancing Other takes readers to France and Martinique to reveal the struggles of people who belong both places, but never quite feel at home in either. Suzanne Dracius tells the story of Rehvana, a