A comprehensive, self-contained treatment presenting general results of the theory. Establishes a geometric intuition and a working facility with specific geometric practices. Emphasizes applications through the study of interesting examples and the development of computational tools. Coverage ranges from analytic to geometric. Treats basic techniques and results of complex manifold theory, focusing on results applicable to projective varieties, and includes discussion of the theory of Rie...

This completely revised and corrected version of the well-known Florence notes circulated by the authors together with E. Friedlander examines basic topology, emphasizing homotopy theory. Included is a discussion of Postnikov towers and rational homotopy theory. This is then followed by an in-depth look at differential forms and de Tham’s theorem on simplicial complexes. In addition, Sullivan’s results on computing the rational homotopy type from forms is presented.New to the Secon...

This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer S...

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. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate students and researchers.Although Mumford-Tate groups can be defined for general structures, their theory and use to date has mainly be...

God's covenants form the backbone of the Scriptures. Understanding these covenants is the key to unlocking the treasures that lay therein. This book will enable the reader, not only to appreciate redemptive history, but to understand more fully his/her position in Christ. Griffiths demonstrates the essential fact that there has always been one Church, one way of salvation, and that all have been, are being, and will be saved only through faith in Christ. Griffiths eschews the Presbyterian ...

In today's world the Christian is constantly being challenged with new teachings. Some of these are particularly dangerous because they are put forward by those with evangelical credentials. Tom Nicholas Wright is one of the leading proponents of the New Perspective on Paul. Wright sees himself as the new Luther, a discoverer of the true biblical understanding of key doctrines like that of justification by faith. According to him, the Reformation misunderstood the nature of justification b...

God has always dealt with his people through the covenant, yet covenant theology from a Baptist perspective is a teaching that is all too often neglected. Many Baptists don't know why they are Baptist. If questioned they are most likely to respond by alluding to the mode of baptism rather than its underlying theology. This book is easily accessible, providing the reader with a clear understanding of the historical Baptist position. The work points out the errors inherent in the Reformed pa...

A new uniform for a new era! The future is now with this visionary relaunch of the globally acclaimed Mighty Morphin Power Rangers series.It’s been ten years since the original Mighty Morphin Power Rangers turned in their morphers and went their separate ways. But now they’ve been called back to the legendary Command Center to face a new, terrifying form of a familiar foe: Rita Rabiosa.They may not be teenagers with attitudes anymore, but are they still the...

The Enlightenment caused a paradigm shift in the worldview of most people living in the Western world. Those Christian doctrines associated with the Protestant Reformation were believed to be no longer tenable. The great German theologian Karl Barth appeared to provide a remedy for this, with a theology that harkened back to Protestant Reformation. From Calvin to Barth examines just how successful Barth was in returning to the old ways; to ascertain whether he did espouse the thinking of m...

This book brings together contributions by top-level experts from a wide range of topics in modern Hodge theory, originating in the authors’ participation in the special years on Hodge theory at the Institute of Mathematical Sciences of the Americas (IMSA) in Miami.One of the main themes is the study of moduli spaces and their compactifications. Several articles speak of the singularities occuring in the boundaries of geometrical or Hodge-theoretic compactifications, semistable red...

Home of the first settlement in the United States and known as Old Dominion and The Mother of Presidents, the state of Virginia’s artistic output proves among the most fecund in the nation, evidenced in this ninth volume of The Southern Poetry Anthology. This collection includes well-known, established, and celebrated poets such as Charles Wright, Claudia Emerson, Gregory Orr, Ellen Bryant Voigt, R. T. Smith, Forrest Gander, and Rita Dove, and the editors have dedicated equal focu...