About this ebook
The book contains a very concrete introduction to binary coding theory and new applications of Nikulin's theory of primitive embeddings of lattices. The book contains also a thorough investigation of cubic hypersurfaces and their singularities, and the associated discriminant surfaces, providing new constructions for surfaces of degree 5 and 6 with the maximal number of nodes. A surprising relation is found between the Barth 65 nodal surface and the Doro-Hall graph. The book is addressed to algebraic geometers and experts of coding theory. It is also meant to be a source of many beautiful classical constructions, due to Kummer, Togliatti and others, which should be of interest to graduate students who want to get to know classical projective geometry.
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About the author
Fabrizio Catanese is a leading algebraic geometer, member of the Accademia dei Lincei, the Goettingen Academy, and the Academia Europaea. He has been a Full Professor at the University of Pisa, Italy (1980-1996), at Goettingen University (1997-2001), and since 2002, at Bayreuth University (Germany). He has been leading several research projects, and among others, an European Project Science, a DFG Graduiertenkolleg, a DFG Schwerpunkt Program, a DFG Forschergruppe, an ERC Advanced Grant, in which about 30 students and 30 Postdocs have been participating.
