Covers the concepts of local homeomorphisms and coverings in manifolds, emphasizing the conditions under which a map is considered a local homeomorphism or a covering.
Covers modern algebraic geometry, including algebraic sets, morphisms, and projective algebraic sets.
Explores the regularity of curves over a field and the importance of specific properties for curve regularity.
Explores fundamental groups, homotopy classes, and coverings in connected manifolds.
Covers the representation of plane curves and the nature of obtained curves.
Explores surfaces in space, including paraboloids, spheres, and hyperboloids, and their equations and intersections.
