Related lectures (60)
Sum of RP2 Connected Sums
Covers the concept of connected sums in RP2 and how to compute them.
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Explores singular points, the group law, and the ambiguity in defining the sum of a point with itself on elliptic curves.
Topology of Riemann Surfaces
Covers the topology of Riemann surfaces, focusing on orientation and orientability.
Algebraic Varieties: Projective Sets and Topology
Explores projective algebraic sets, prime ideals, irreducible sets, cones, and Nullstellensatz theorem.
Projective Spaces: Separation and Definitions
Covers separated spaces, saturation properties, and projective spaces, including the real projective plane and compactness.
Incidence Geometry & Elliptic Curves
Explores the Cayley-Bacharach theorem in incidence geometry and introduces elliptic curves with a commutative law.
Cohomology Real Projective Space
Covers cohomology in real projective spaces, focusing on associative properties and algebraic structures.
Group Actions: Quotients and Homomorphisms
Discusses group actions, quotients, and homomorphisms, emphasizing practical implications for various groups and the construction of complex projective spaces.
Projective Geometry: Fundamentals and Applications
Explores the fundamentals of projective geometry and its practical applications in solving geometric problems.
Projective Space and Algebraic Sets
Introduces projective space and algebraic sets, discussing homogeneous coordinates, ideals, and generators.

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