Subvarieties of Codimension Two and Vector Bundles of Rank Two on Grassman Varieties PDF Download
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Author: Amy Pollack
Publisher:
ISBN:
Category :
Languages : en
Pages : 164
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Author: Amy Pollack
Publisher:
ISBN:
Category :
Languages : en
Pages : 164
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Author: Johannes Albert Vogelaar
Publisher:
ISBN:
Category : Vector bundles
Languages : en
Pages : 54
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Author: Andrej N. Tjurin
Publisher: Universitätsverlag Göttingen
ISBN: 3938616741
Category : Vector bundles
Languages : en
Pages : 330
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Book Description
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.
Author:
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ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 974
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Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.
Author: Robin Hartshorne
Publisher: American Mathematical Soc.
ISBN: 082181429X
Category : Mathematics
Languages : en
Pages : 658
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 672
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Author:
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ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1008
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Author: Marian Aprodu
Publisher: American Mathematical Soc.
ISBN: 0821849646
Category : Mathematics
Languages : en
Pages : 138
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Book Description
The systematic use of Koszul cohomology computations in algebraic geometry can be traced back to the foundational work of Mark Green in the 1980s. Green connected classical results concerning the ideal of a projective variety with vanishing theorems for Koszul cohomology. Green and Lazarsfeld also stated two conjectures that relate the Koszul cohomology of algebraic curves with the existence of special divisors on the curve. These conjectures became an important guideline for future research. In the intervening years, there has been a growing interaction between Koszul cohomology and algebraic geometry. Green and Voisin applied Koszul cohomology to a number of Hodge-theoretic problems, with remarkable success. More recently, Voisin achieved a breakthrough by proving Green's conjecture for general curves; soon afterwards, the Green-Lazarsfeld conjecture for general curves was proved as well. This book is primarily concerned with applications of Koszul cohomology to algebraic geometry, with an emphasis on syzygies of complex projective curves. The authors' main goal is to present Voisin's proof of the generic Green conjecture, and subsequent refinements. They discuss the geometric aspects of the theory and a number of concrete applications of Koszul cohomology to problems in algebraic geometry, including applications to Hodge theory and to the geometry of the moduli space of curves.
Author: Daniel Huybrechts
Publisher: Cambridge University Press
ISBN: 1139485822
Category : Mathematics
Languages : en
Pages : 345
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This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
Author:
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ISBN:
Category : Dissertation abstracts
Languages : en
Pages : 620
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