Books written by Phillip A. Griffiths

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  Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)

  Step two: By the Jacobson-Morosov theorem, N G m may be completed to an slo C m. Schmid selects the slo over R in the following manner. Lifting N(2) to JN(T) = exp(TN) : po and setting T = u + iv, v > 0, 102 CHAPTER IV.

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  Hodge Theory (MN-49)

  This is a version of the Jacobson— Morosov theorem. EXERCISE A.3.7 Let N C g[(V) be nilpotent and Y C g[(V) be semisimple. Set V4 I E4 Then the following are equivalent: (1) There exists an slg—triple {N+, NI, Y} with N+ I N. (2) The ...

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  Hodge Theory (MN-49)

  The exposition is as accessible as possible and doesn't require a deep background. At the same time, the book presents some topics at the forefront of current research. The book is divided between introductory and advanced lectures.

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  Mumford-Tate Groups and Domains: Their Geometry and Arithmetic (AM-183)

  Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains.

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  Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106

  The series continues this tradition as Princeton University Press publishes the major works of the twenty-first century. To mark the continued success of the series, all books are available in paperback and as ebooks.