Enriques Surfaces I


Enriques Surfaces I
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Enriques Surfaces I


Enriques Surfaces I
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Author : F. Cossec
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Enriques Surfaces I written by F. Cossec and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This is the first of two volumes representing the current state of knowledge about Enriques surfaces which occupy one of the classes in the classification of algebraic surfaces. Recent improvements in our understanding of algebraic surfaces over fields of positive characteristic allowed us to approach the subject from a completely geometric point of view although heavily relying on algebraic methods. Some of the techniques presented in this book can be applied to the study of algebraic surfaces of other types. We hope that it will make this book of particular interest to a wider range of research mathematicians and graduate students. Acknowledgements. The undertaking of this project was made possible by the support of several institutions. Our mutual cooperation began at the University of Warwick and the Max Planck Institute of Mathematics in 1982/83. Most of the work in this volume was done during the visit of the first author at the University of Michigan in 1984-1986. The second author was supported during all these years by grants from the National Science Foundation.



Enriques Surfaces


Enriques Surfaces
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Author : François R. Cossec
language : en
Publisher:
Release Date : 1989

Enriques Surfaces written by François R. Cossec and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Enriques surfaces categories.




Enriques Surfaces


Enriques Surfaces
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Author : François R. Cossec
language : en
Publisher:
Release Date : 1989

Enriques Surfaces written by François R. Cossec and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Enriques surfaces categories.




Real Enriques Surfaces


Real Enriques Surfaces
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Author : Alexander Degtyarev
language : en
Publisher: Springer
Release Date : 2007-05-06

Real Enriques Surfaces written by Alexander Degtyarev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-05-06 with Mathematics categories.


This is the first attempt of a systematic study of real Enriques surfaces culminating in their classification up to deformation. Simple explicit topological invariants are elaborated for identifying the deformation classes of real Enriques surfaces. Some of theses are new and can be applied to other classes of surfaces or higher-dimensional varieties. Intended for researchers and graduate students in real algebraic geometry it may also interest others who want to become familiar with the field and its techniques. The study relies on topology of involutions, arithmetics of integral quadratic forms, algebraic geometry of surfaces, and the hyperkähler structure of K3-surfaces. A comprehensive summary of the necessary results and techniques from each of these fields is included. Some results are developed further, e.g., a detailed study of lattices with a pair of commuting involutions and a certain class of rational complex surfaces.



Real Enriques Surfaces


Real Enriques Surfaces
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Author : Alexander Degtyarev
language : en
Publisher:
Release Date : 2014-01-15

Real Enriques Surfaces written by Alexander Degtyarev and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.




On Normal Quintic Enriques Surfaces Enriques Surfaces


On Normal Quintic Enriques Surfaces Enriques Surfaces
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Author : YONGGU KIM
language : en
Publisher:
Release Date : 1991

On Normal Quintic Enriques Surfaces Enriques Surfaces written by YONGGU KIM and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.


One of our main results is that every Enriques surface is birationally isomorphic to a normal surface in P$\sp3$.



Compact Complex Surfaces


Compact Complex Surfaces
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Author : W. Barth
language : en
Publisher: Springer
Release Date : 2015-05-22

Compact Complex Surfaces written by W. Barth and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-22 with Mathematics categories.


In the 19 years which passed since the first edition was published, several important developments have taken place in the theory of surfaces. The most sensational one concerns the differentiable structure of surfaces. Twenty years ago very little was known about differentiable structures on 4-manifolds, but in the meantime Donaldson on the one hand and Seiberg and Witten on the other hand, have found, inspired by gauge theory, totally new invariants. Strikingly, together with the theory explained in this book these invariants yield a wealth of new results about the differentiable structure of algebraic surfaces. Other developments include the systematic use of nef-divisors (in ac cordance with the progress made in the classification of higher dimensional algebraic varieties), a better understanding of Kahler structures on surfaces, and Reider's new approach to adjoint mappings. All these developments have been incorporated in the present edition, though the Donaldson and Seiberg-Witten theory only by way of examples. Of course we use the opportunity to correct some minor mistakes, which we ether have discovered ourselves or which were communicated to us by careful readers to whom we are much obliged.



On Degenerations Of Algebraic Surfaces


On Degenerations Of Algebraic Surfaces
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Author : Ulf Persson
language : en
Publisher: American Mathematical Soc.
Release Date : 1977

On Degenerations Of Algebraic Surfaces written by Ulf Persson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977 with Mathematics categories.




Complex Algebraic Surfaces


Complex Algebraic Surfaces
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Author : Arnaud Beauville
language : en
Publisher: Cambridge University Press
Release Date : 1996-06-28

Complex Algebraic Surfaces written by Arnaud Beauville and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-06-28 with Mathematics categories.


Developed over more than a century, and still an active area of research today, the classification of algebraic surfaces is an intricate and fascinating branch of mathematics. In this book Professor BeauviIle gives a lucid and concise account of the subject, following the strategy of F. Enriques, but expressed simply in the language of modern topology and sheaf theory, so as to be accessible to any budding geometer. This volume is self contained and the exercises succeed both in giving the flavour of the extraordinary wealth of examples in the classical subject, and in equipping the reader with most of the techniques needed for research.



Real Algebraic Surfaces


Real Algebraic Surfaces
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Author : Robert Silhol
language : en
Publisher: Springer
Release Date : 2006-11-14

Real Algebraic Surfaces written by Robert Silhol and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.