FOURIER MUKAI TRANSFORMS IN ALGEBRAIC GEOMETRY PDF

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As a global organisation, we, like many others, recognize the significant threat posed by the coronavirus. During this time, we have made some of our learning resources freely accessible. Our distribution centres are open and orders can be placed online. Do be advised that shipments may be delayed due to extra safety precautions implemented at our centres and delays with local shipping carriers. This item is printed to order. Items which are printed to order are normally despatched and charged within days.

Oxford Scholarship Online. Available in Oxford Scholarship Online - view abstracts and keywords at book and chapter level. This seminal text on Fourier-Mukai Transforms in Algebraic Geometry by a leading researcher and expositor is based on a course given at the Institut de Mathematiques de Jussieu in and Aimed at postgraduate students with a basic knowledge of algebraic geometry, the key aspect of this book is the derived category of coherent sheaves on a smooth projective variety.

Including notions from other areas, e. Preface 1: Triangulated categories 2: Derived categories: a quick tour 3: Derived categories of coherent sheaves 4: Derived category and canonical bundle I 5: Fourier-Mukai transforms 6: Derived category and canonical bundle II 7: Equivalence criteria for Fourier-Mukai transforms 8: Spherical and exceptional objects 9: Abelian varieties K3 surfaces Flips and flops Derived categories of surfaces Where to go from here References Index. Oxford University Press is a department of the University of Oxford.

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To purchase, visit your preferred ebook provider. Oxford Scholarship Online Available in Oxford Scholarship Online - view abstracts and keywords at book and chapter level.

Fourier-Mukai Transforms in Algebraic Geometry Daniel Huybrechts Clarendon Press Oxford Mathematical Monographs A seminal text in this important area of algebraic geometry Excellent exposition by a top researcher Contains graded exercises and numerous examples. Also of Interest. Lapidus, Lance Nielsen. Cyclic Modules and the Structure of Rings S. Jain, Ashish K. Srivastava, Askar A. Integrable Systems N. Hitchin, G. Segal, R.

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Fourier-Mukai Transforms in Algebraic Geometry

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Preface 1. Triangulated categories 2. Derived categories: a quick tour 3. Derived categories of coherent sheaves 4.

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Fourier–Mukai transform

Most natural functors, including basic ones like pushforwards and pullbacks , are of this type. That equivalence is analogous to the classical Fourier transform that gives an isomorphism between tempered distributions on a finite-dimensional real vector space and its dual. Fourier-Mukai transforms always have left and right adjoints , both of which are also kernel transformations. If the canonical class of a variety is ample or anti-ample, then the derived category of coherent sheaves determines the variety.

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Fourier-Mukai transforms in algebraic geometry

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