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Volume 1: Vector Bundles
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- Contents
- Introduction of the Chief-Editor
- Andrey Nikolaevich Tyurin
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The geometry of moduli of vector bundles
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On the classification of rank 2 vectorbundles over an algebraic curve ofarbitrary genus
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Vector bundles of finite rank over infinite varieties
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Symplectic structures on the varieties of moduli of vector bundles on algebraic surfaces with pg > 0
- + The moduli spaces of vector bundles onthreefolds, surfaces and curves I
- + The classical geometry of vector bundles
- + The Weil–Petersson metric on the modulispace of stable vector bundles and sheaves on an algebraic surface
- + On the superpositions of mathematical instantons
- + Delzant models of moduli spaces
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Commentaries
- + The geometry of moduli of vector bundles
- + On the classification of 2-dimensional vector bundles on analgebraic curve of any genus.
- + Vector bundles of finite rank over infinite varieties.
- Symplectic structures on the varieties of moduli of vector bundleson algebraic surfaces with pg > 0.
- + The moduli spaces of vector bundleson threefolds, surfaces and curves. I.
- The classical geometry of vector bundles.
- The Weil – Petersson metric on the moduli space of stable vectorbundles and sheaves on an algebraic surface.
- On the superpositions of mathematical instantons.
- Delzant models of moduli spaces.
This is the first volume of a three volume collection of Andrey Nikolaevich Tyurin's Selected Works. It includes his most interesting articles in the field of classical algebraic geometry, written during his whole career from the 1960s. Most of these papers treat different problems of the theory of vector bundles on curves and higher dimensional algebraic varieties, a theory which is central to algebraic geometry and most of its applications.
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Book Details
Editors
Fedor Bogomolov and Alexey Gorodentsev
Series
Göttinger Schriften zum Medizinrecht
Categories
Mathematics > Geometry > General
Publishers
Publication year : 2008
Times read: 102
