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Monographic Series
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Monographic Series
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An Invitation to Web Geometry
This book takes an in-depth look at abelian relations of codimension one webs in the complex analytic setting. In its classical form, web geometry consists in the study of webs up to local diffeomorphisms. A significant part of the theory revolves around the concept of abelian relation, a particular kind of functional relation among the first integrals of the foliations of a web. Two main focuses of the book include how many abelian relations can a web carry and which webs are carrying the maximal possible number of abelian relations. The book offers complete proofs of both Chern’s bound and Trépreau’s algebraization theorem, including all the necessary prerequisites that go beyond elementary complex analysis or basic algebraic geometry. Most of the examples known up to date of non-algebraizable planar webs of maximal rank are discussed in detail. A historical account of the algebraization problem for maximal rank webs of codimension one is also presented.
Birational Geometry of Foliations
The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes, M. McQuillan and the author to study foliations of surfaces in the spirit of the classification of complex algebraic surfaces.
Open Access and the Humanities
If you work in a university, you are almost certain to have heard the term 'open access' in the past couple of years. You may also have heard either that it is the utopian answer to all the problems of research dissemination or perhaps that it marks the beginning of an apocalyptic new era of 'pay-to-say' publishing. In this book, Martin Paul Eve sets out the histories, contexts and controversies for open access, specifically in the humanities. Broaching practical elements alongside economic histories, open licensing, monographs and funder policies, this book is a must-read for both those new to ideas about open-access scholarly communications and those with an already keen interest in the latest developments for the humanities. This title is also available as Open Access via Cambridge Books Online.
