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Algebraic geometry - Wikipedia
https://en.m.wikipedia.org/wiki/Algebraic_geometry
WEBAlgebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems. Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in …
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Algebraic Geometry | Mathematics | MIT OpenCourseWare
https://ocw.mit.edu/courses/18-725-algebraic-geometry-fall-2015/
WEBThe goal of the course is to introduce the basic notions and techniques of modern algebraic geometry. It covers fundamental notions and results about algebraic varieties over an algebraically closed field; relations between complex algebraic …
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INTRODUCTION TO ALGEBRAIC GEOMETRY - MIT …
https://math.mit.edu/classes/18.721/ag-feb20.pdf
WEBChapter 2: AFFINE ALGEBRAIC GEOMETRY 2.1 Rings and Modules 2.2 The Zariski Topology 2.3 Some Affine Varieties 2.4 The Nullstellensatz 2.5 The Spectrum of a Finite-type Domain 2.6 Morphisms of Affine Varieties 2.7 Finite Group Actions Chapter 3: PROJECTIVE ALGEBRAIC GEOMETRY 3.1 Projective Varieties 3.2 Homogeneous Ideals 3.3 Product Varieties
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18.721: Introduction to Algebraic Geometry - Stanford University
https://web.stanford.edu/~lindrew/18.721.pdf
WEB18.721: Introduction to Algebraic Geometry Lecturer: Professor Mike Artin Notes by: Andrew Lin Spring 2020 1 February 3, 2020 Algebraic geometry is a beautiful subject, and it’s usually taught as a mid-level graduate course, so we’ll need to discuss things in this class without a lot of background.
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Algebraic geometry | Curves, Surfaces & Varieties | Britannica
https://www.britannica.com/science/algebraic-geometry
WEBAlgebraic 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.) Algebraic geometry emerged from analytic geometry.
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Algebraic Geometry -- from Wolfram MathWorld
https://mathworld.wolfram.com/AlgebraicGeometry.html
WEBApr 13, 2024 · Algebraic geometry is the study of geometries that come from algebra, in particular, from rings. In classical algebraic geometry, the algebra is the ring of polynomials, and the geometry is the set of zeros of polynomials, called an algebraic variety. For instance, the unit circle is the set of zeros of x^2+y^2=1 and is an algebraic variety, as ...
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Equations and geometry | Algebra basics | Math | Khan Academy
https://www.khanacademy.org/math/algebra-basics/alg-basics-equations-and-geometry
WEBMath. Algebra basics. Unit 8: Equations and geometry. 1,000 possible mastery points. Mastered. Proficient. Familiar. Attempted. Not started. Quiz. Unit test. About this unit. Algebra can be applied to angles and shapes as well! In this unit, you'll investigate how algebra can be useful when solving geometrical problems. Equations & geometry. Learn.
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Algebraic Geometry | SpringerLink
https://link.springer.com/book/10.1007/978-1-4757-3849-0
WEBBook Title: Algebraic Geometry. Authors: Robin Hartshorne. Series Title: Graduate Texts in Mathematics. DOI: https://doi.org/10.1007/978-1-4757-3849-0. Publisher: Springer New York, NY. eBook Packages: Springer Book Archive. Copyright Information: Springer Science+Business Media New York 1977. Hardcover ISBN: 978 …
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Algebraic geometry - Encyclopedia of Mathematics
https://encyclopediaofmath.org/wiki/Algebraic_geometry
WEBDec 17, 2019 · Algebraic geometry. The branch of mathematics dealing with geometric objects connected with commutative rings: algebraic varieties (cf. Algebraic variety) and their various generalizations (schemes, algebraic spaces, etc., cf. Scheme; Algebraic space ). Algebraic geometry may be "naively" defined …
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Lecture Notes | Algebraic Geometry | Mathematics | MIT OpenCourseWare
https://ocw.mit.edu/courses/18-725-algebraic-geometry-fall-2015/resources/lecture-notes/
WEBLecture Notes | Algebraic Geometry | Mathematics | MIT OpenCourseWare. pdf. 843 kB. Notes. pdf. 197 kB. Algebraic Geometry Lecture 1 Notes. pdf. 206 kB. Algebraic Geometry Lecture 2 Notes. pdf. 230 kB. Lecture 3 Projective Varieties, Noether Normalization. pdf. 237 kB. Lecture 4 Grassmannians, Finite and …
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