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Undergraduate and Graduate Programs 2023-2024


MATH 633 Algebraic Geometry I

Transcendental theory; Complex algebraic varieties, line bundles and divisors, Riemann surfaces as algebraic curves, Hurwitz's theorem, Riemann-Roch theorem, uniformization, surfaces, Kodaira dimension, main classification theory of surfaces via birational theory, Chern classes, fixed point theorems, residues, spectral sequences. Credit units: 3 ECTS Credit units: 5.

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