WebFeb 22, 2012 · A startling result is that these families are very closely linked to hypergeometric functions. This phenomenon was carefully studied by Dwork and Candelas, de la Ossa, and Rodr\' {i}guez-Villegas ... WebDec 12, 2010 · We give a new approach to the cohomology of the Dwork family, and more generally of single-monomial deformations of Fermat hypersurfaces. This approach is …

The Dwork Family and Hypergeometric Functions

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Dwork family - HandWiki

WebAug 6, 2015 · The purpose of this paper is to give an explicit description, in terms of hypergeometric functions over finite fields, of the zeta functions of certain smooth hypersurfaces that generalize the Dwork family. WebChris Brav is working on explicit descriptions of monodromy groups and period maps of certain families of Calabi-Yau varieties generalizing the Dwork family as well as on other general questions about the structure of moduli spaces and their quantizations in derived algebraic geometry. Dates at IAS Member School of Mathematics 9/2013 – 8/2014 Webapproaches (the Simpson and Bombieri-Dwork conjectures). Section 2, more elementary, gives an introduction to birational geometry. I hope to explain the significance of the problem of finite generation of the canonical ring, ... A beautiful Picard-Fuchs equation is the one for the 1-parameter “Dwork family” ... taxis in kibworth