Section outline
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Topics: irreducibility, dimension, fibers, fiber-dimension theorem, first principles of real vs. complex algebraic geometry, dimension computations via Jacobians, tangent spaces
Literature: Invitation to Nonlinear Algebra: Chapter 2.1;
Shafarevich: Chapter 1.6.3 and Lemma 2.4 in Chapter 2.6.2 (careful: this book uses slightly different definitions, which makes the statements seem different - at first sight - from the statements in my slides)