Intro to Algebraic Geometry · Algebra
Algebraic Curves and Riemann-Roch
A smooth curve of degree d has genus (d-1)(d-2)/2. Riemann-Roch constrains the functions that can live on a curve, connecting geometry to algebra.
WHAT STUDENTS WILL LEARN
✓Classify smooth plane curves by genus
✓Apply the genus-degree formula
✓State the Riemann-Roch theorem
✓Connect algebraic curves to Riemann surfaces
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