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Notes on Basic Algebraic Geometry by Donu Arapura

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Notes on basic algebraic geometry written by Donu Arapura . This is an other book of mathematics cover the following topics.

  • Affine Geometry
    Algebraic sets, Weak Nullstellensatz, Zariski topology, The Cayley-Hamilton theorem, Affine Varieties, Hilbert’s Nullstellensatz, Nilpotent matrices

  • Projective Geometry
    Projective space, Projective varieties, Projective closure, Miscellaneous examples, Grassmanians, Elimination theory, Simultaneous eigenvectors

  • The category of varieties Rational functions, Quasi-projective varieties, Graphs

  • Dimension theory
    Dimension, Dimension of fibres, Simultaneous eigenvectors (continued)

  • Differential calculus Tangent spaces, Singular points, Singularities of nilpotent matrices, Bertini-Sard theorem

  • Download free PDF Notes on Basic Algebraic Geometry by Donu Arapura
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