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Prerequisites
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Language of Instruction
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English
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Responsible
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Assist. Prof. Dr. Celalettin KAYA
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Instructors
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Assistants
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Resources
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Schenck Hal, (2003), Computational Algebraic Geometry (London Mathematical Society Student Texts), 1st Edition, Cambridge University Press.
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Supplementary Book
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Wolfram Decker, Gerhard Pfister, (2013), A First Course in Computational Algebraic Geometry (AIMS Library of Mathematical Sciences) 1st Edition, Cambridge University Press.
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Goals
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To introduce basic notions of commutative algebra, homological algebra, projective space, Gröbner bases and geometry of points, and to examine the relationships between these notions.
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Content
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Affine and projective varieties, graded rings and modules, free resolutions, Hilbert functions, Hilbert polynomials, Gröbner bases, elimination theory, localization, Hom functor and tensor product, geometry of points and the Hilbert function.
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