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Selected Works of Phillip A. Griffiths with Commentary: 2 Volume Set [Kõva köide]

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  • Formaat: Hardback, 799 pages, kõrgus x laius: 254x178 mm, kaal: 1880 g
  • Sari: Collected Works
  • Ilmumisaeg: 01-Sep-2017
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470436558
  • ISBN-13: 9781470436551
Teised raamatud teemal:
Selected Works of Phillip A. Griffiths with Commentary: 2 Volume Set
  • Formaat: Hardback, 799 pages, kõrgus x laius: 254x178 mm, kaal: 1880 g
  • Sari: Collected Works
  • Ilmumisaeg: 01-Sep-2017
  • Kirjastus: American Mathematical Society
  • ISBN-10: 1470436558
  • ISBN-13: 9781470436551
Teised raamatud teemal:
In the period since the original four volumes of Phillip Griffiths's Selecta were published (Selected Works of Phillip A. Griffiths with Commentary), Parts 1-4, Collected Works, Volume 18), Griffiths has continued to produce beautiful and important work. The current two-part publication brings Griffiths's Selecta up to date by including the majority of his recent articles, as well as two older papers on differential geometry whose length had precluded their inclusion in the original Selecta.

The papers are organized along the three main topics: Differential Geometry and Hodge Theory (Part 5) and Algebraic Cycles (Part 6). In addition to his papers, Griffiths has been an author of a number of research monographs. To give the reader an overview of what these monographs contain, introductions to some of these are also included.
Preface vii
Robert L. Bryant
Mark L. Green
Curriculum Vitae of Phillip A. Griffiths ix
Bibliography of Phillip A. Griffiths xiii
Permissions & Acknowledgments xxiii
Commentary of Parts 5 and 6 of the Select xxv
Part 5
"Variations of Hodge structure considered as an exterior differential system: old and new results," SIGMA, 5 Paper 87, 40, 2009
1(40)
James Carlson
Mark Green
Introduction from Mumford-Tate Groups and Domains: Their Geometry and Arithmetic," Annals of Mathematics Studies, Vol 183, Princeton University Press, 2012
41(28)
Mark Green
Matt Kerr
"Introduction from Introduction to Hodge Theory, Complex Geometry, and Representation Theory," CBMS Regional Conference Series in Mathematics, Vol 118, AMS, Providence, RI, 2013
69(4)
Mark Green
Matt Kerr
"The Gauss equations and rigidity of isometric embeddings," Duke Math J, Vol 50 (3), 803-892, 1983
73(90)
Eric Berger
Robert Bryant
"Characteristics and existence of isometric embeddings," Duke Math J, Vol 50 (4), 893-994, 1983
163(102)
Robert Bryant
Deane Yang
"Extremal degenerations of polarized Hodge structures", Advanced Lectures in Mathematics 39, 321-376, Higher Education Press and International Press Beijing-Boston, 2017
265(56)
Mark Green
Colleen Robles
"Quotients of non-classical flag domains are not algebraic," Algebraic Geometry 1, 1-13, 2014
321(14)
Colleen Robles
Domingo Toledo
"Neron models and boundary components for degenerations of Hodge structure of mirror quintic type," Curves and abelian varieties, Contemporary Mathematics, Vol 465, 71-145, AMS, Providence, RI, 2008
335(76)
Mark Green
Matt Kerr
"Neron models and limits of Abel-Jacobi mappings," Compos. Math. 146 (2) 288-366, 2010
411
Mark Green
Matt Kerr
Part 6
"Cycles over fields of transcendence degree 1," Michigan Math. J. 52 (1): 181-187, 2004
1(8)
Mark Green
Kapil H. Paranjape
"Hodge-theoretic invariants for algebraic cycles," International Mathematical Research Notices 9: 477-510, 2003
9(34)
Mark Green
"An interesting 0-cycle," Duke Math J 119(2): 261-313, 2003
43(54)
Mark Green
"Formal deformation of Chow groups," The legacy of Niels Henrik Abel, 467-509, Springer, Berlin, 2004
97(44)
Mark Green
Introduction from "On the tangent space to the space of algebraic cycles on a smooth algebraic variety," Annals of Math Studies, Vol 157, Princeton University Press, Princeton, NJ, 2005
141(22)
Mark Green
"Algebraic cycles and singularities of normal functions I," Algebraic Cycles and Motives, LMS Lecture Note Series, no. 343, 206-263, 2007
163(58)
Mark Green
"Algebraic cycles and singularities of normal functions, II," Inspired by S.S. Chern, Nankai Tracts Math., 11, 179-268, World Sci. Publ., Hackensack, NJ 2006
221
Mark Green
Robert L. Bryant, Duke University, Durham, NC.

Mark L. Green, University of California, Los Angeles, CA.