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Open Algebraic Surfaces

has established a classification theory of open algebraic surfaces comparable to the Enriques-Kodaira theory. This research provides powerful;

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The Pledge

The theory of open algebraic surfaces is applicable to algebraic geometry, commutative algebra, invariant theory, and singularities. This;

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Algebraic Surfaces

Lectures: A. Beauville: Surfaces algebriques complexes.- F.A. Bogomolov: The theory of invariants and its applications to some problems;

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Beauville Surfaces and Groups

these objects are discussed from the points of view of algebraic geometry as well as group theory. The book also includes various open problems;

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Theory of Algebraic Surfaces

theory of complex algebraic surfaces, including concise proofs of Gorenstein's theorem for curves on a surface and Noether's formula for the;

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Principles of Algebraic Geometry

applicable to projective varieties, and includes discussion of the theory of Riemann surfaces and algebraic curves, algebraic surfaces and the;

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Introduction to Algebraic Curves

Algebraic curves and compact Riemann surfaces comprise the most developed and arguably the most beautiful portion of algebraic geometry;

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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;

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Compact Riemann Surfaces

, differential geometry, the calculus of variations, elliptic PDE, and algebraic geometry. The book is unique among textbooks on Riemann surfaces in its;

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Local and Global Methods in Algebraic Geometry

related fields, including birational geometry and moduli theory, analytic and positive characteristic methods, geometry of surfaces, singularity;

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Compact Complex Surfaces

the differentiable structure of algebraic surfaces. Other developments include the systematic use of nef-divisors (in ac cordance with the;

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Compact Complex Surfaces

the differentiable structure of algebraic surfaces. Other developments include the systematic use of nef-divisors (in ac cordance with the;

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Introduction to Compact Riemann Surfaces and Dessins d'Enfants

of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups;

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Introduction To Compact Riemann Surfaces And Dessins D'Enfan

of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action of Fuchsian groups;

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Algebraic Curves and Riemann Surfaces

reader's classical intuition about surfaces, integration, and other concepts can be brought into play. Therefore, many examples of algebraic curves;

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Graphs, Surfaces and Homology

Homology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible;

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Graphs, Surfaces and Homology

Homology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible;

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Introduction to Algebraic Geometry

presented with complete proofs. An emphasis is placed on developing connections between geometric and algebraic aspects of the theory. Differences;

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Algebraic Geometry & Arithmetic Curves

, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such;

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Rationality Problems in Algebraic Geometry: Levico Terme, Italy 2015

problems motivated significant developments in the theory of abelian integrals, Riemann surfaces and the Abel-Jacobi map, among other areas, and;

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Complex Analysis and Algebraic Geometry

I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as;

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Complex Analysis and Algebraic Geometry

I includes topics in the theory of algebraic surfaces and analytic surface. Part II covers topics in moduli and classification problems, as;

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Introduction to the Theory of Algebraic Functions of One Variable

treated as the theory of algebraic functions on the curve. Among other advantages of such an approach, it allowed the author to consider curves;

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Lectures on Algebraic Geometry I: Sheaves, Cohomology of Sheaves, and Applications to Riemann Surfaces

algebra, theory of sheaves, and sheaf cohomology are developed. These methods are indispensable for modern algebraic geometry, but they are also;

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Classical Algebraic Geometry

legacy of classical algebraic geometry, such as plane algebraic curves of low degree, special algebraic surfaces, theta functions, Cremona;

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Birational Geometry of Algebraic Varieties

One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory;

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Birational Geometry of Algebraic Varieties

One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory;

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