Albanese Morphism: Kodaira Dimension Zero

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Explores Albanese varieties, Fourier-Mukai transforms, and positive characteristic applications.

Presents a proof that smooth projective varieties with nef anti-canonical divisor have surjective Albanese morphism.

Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Explores the invention of instruments by artists like Albrecht Dürer to draw complex curves and lines not achievable with a ruler.

Covers adjunctions, projective varieties, regularity, and valuative criteria in algebraic geometry.

Covers the GAGA principle, stating that any morphism on projective varieties is constant.

Explores geometry basics, 5 regular polyhedra construction, and their link to ancient physics and planets.

Explores regularity in algebraic geometry and the geometric implications of the Jacobian criterion.

Explores singularities in curves, including inflection points and points of reversal, and discusses the evolution of torsion along curves.