Complex analysis algebraic geometry

What does complex mean in geometry?
Complex geometry sits at the intersection of algebraic geometry, differential geometry, and complex analysis, and uses tools from all three areas.
Because of the blend of techniques and ideas from various areas, problems in complex geometry are often more tractable or concrete than in general..
What geometry is used to analyze algebraic equations?
analytic geometry, also called coordinate geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems in geometry.
The importance of analytic geometry is that it establishes a correspondence between geometric curves and algebraic equations..
Where is algebraic geometry used?
Algebraic geometry now finds applications in statistics, control theory, robotics, error-correcting codes, phylogenetics and geometric modelling.
There are also connections to string theory, game theory, graph matchings, solitons and integer programming..
Why is algebraic geometry difficult?
Algebraic geometry sets out to answer these questions by applying the techniques of abstract algebra to the set of polynomials that define the curves (which are then called "algebraic varieties").
The mathematics involved is inevitably quite hard, although it is covered in degree-level courses..
Algebraic geometry sets out to answer these questions by applying the techniques of abstract algebra to the set of polynomials that define the curves (which are then called "algebraic varieties").
The mathematics involved is inevitably quite hard, although it is covered in degree-level courses.
algebraic geometry, study of the geometric properties of solutions to polynomial equations, including solutions in dimensions beyond three. (Solutions in two and three dimensions are first covered in plane and solid analytic geometry, respectively.)
analytic geometry, also called coordinate geometry, mathematical subject in which algebraic symbolism and methods are used to represent and solve problems in geometry.
The importance of analytic geometry is that it establishes a correspondence between geometric curves and algebraic equations.
Complex geometry sits at the intersection of algebraic geometry, differential geometry, and complex analysis, and uses tools from all three areas.
Because of the blend of techniques and ideas from various areas, problems in complex geometry are often more tractable or concrete than in general.

Mar 13, 2015GAGA prompts the question which complex spaces Y have the form Y=Xan, i.e. can be investigated by methods from algebraic geometry. Here Kodairas What differentiates algebraic geometry over C from complex analysis?Complex analysis book for Algebraic GeometersHow much algebraic geometry is there in complex geometry (for Complex Analysis and Algebra - Mathematics Stack ExchangeMore results from math.stackexchange.com

In complex analysis and algebraic geometry one studies complex analytic and algebraic varieties, maps between such spaces (the simplest case being holomorphic and algebraic functions) and analytic and algebraic objects defined on those spaces, as subvarieties, vector bundles and sheaves.

Complex analysis algebraic geometry

What does complex mean in geometry?

What geometry is used to analyze algebraic equations?

Where is algebraic geometry used?

Why is algebraic geometry difficult?