Algebraic geometry (Borcherds)

Richard Borcherds: Algebraic geometry, X. The proof of the Lasker-Noether theorem

27th May, 2020

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This lecture covers the proof of the Lasker-Noether theorem.

This video is part of a lecture course by Richard Borcherds from 2020.

Richard Borcherds: Algebraic geometry, I. Introduction
Richard Borcherds: Algebraic geometry, II. Two cubic curves
Richard Borcherds: Algebraic geometry, III. Bezout, Pappus, Pascal
Richard Borcherds: Algebraic geometry, IV. Kakeya sets
Richard Borcherds: Algebraic geometry, V. Affine space and the Zariski topology
Richard Borcherds: Algebraic geometry, VI. Noetherian spaces
Richard Borcherds: Algebraic geometry, VII. Weak Nullstellensatz
Richard Borcherds: Algebraic geometry, VIII. Strong Nullstellensatz
Richard Borcherds: Algebraic geometry, IX. The Lasker-Noether theorem
Richard Borcherds: Algebraic geometry, X. The proof of the Lasker-Noether theorem
Richard Borcherds: Algebraic geometry, XI. Quotients of varieties by groups
Richard Borcherds: Algebraic geometry, XII. Hilbert’s finiteness theorem
Richard Borcherds: Algebraic geometry, XIII. Three examples of quotients
Richard Borcherds: Algebraic geometry, XIV. Dimension
Richard Borcherds: Algebraic geometry, XV. Projective space
Richard Borcherds: Algebraic geometry, XVI. Desargues’s theorem
Richard Borcherds: Algebraic geometry, XVII. Affine and projective varieties
Richard Borcherds: Algebraic geometry, XVIII. Products of varieties
Richard Borcherds: Algebraic geometry, XIX. The Veronese surface and the variety of lines in space
Richard Borcherds: Algebraic geometry, XX. Grassmannians
Richard Borcherds: Algebraic geometry, XXI. Projective space bundles
Richard Borcherds: Algebraic geometry, XXII. Toric varieties
Richard Borcherds: Algebraic geometry, XXIII. Categories
Richard Borcherds: Algebraic geometry, XXIV. Regular functions
Richard Borcherds: Algebraic geometry, XXV. Morphisms of varieties
Richard Borcherds: Algebraic geometry, XXVI. Affine algebraic sets and commutative rings
Richard Borcherds: Algebraic geometry, XXVII. The twisted cubic
Richard Borcherds: Algebraic geometry, XXVIII. Products of projective varieties
Richard Borcherds: Algebraic geometry, XXIX. Automorphisms of space
Richard Borcherds: Algebraic geometry, XXX. The Ax-Grothendieck theorem
Richard Borcherds: Algebraic geometry, XXXI. Rational maps
Richard Borcherds: Algebraic geometry, XXXII. Elliptic functions and cubic curves
Richard Borcherds: Algebraic geometry, XXXIII. Rationality of cubic surfaces
Richard Borcherds: Algebraic geometry, XXXIV. Blowing up a point
Richard Borcherds: Algebraic geometry, XXXV. More on blowups
Richard Borcherds: Algebraic geometry, XXXVI. The Atiyah flop
Richard Borcherds: Algebraic geometry, XXXVII. Singular points
Richard Borcherds: Algebraic geometry, XXXVIII. The Zariski tangent space
Richard Borcherds: Algebraic geometry, XXXIX. Du Val singularities
Richard Borcherds: Algebraic geometry, XL. Examples of resolutions
Richard Borcherds: Algebraic geometry, XLI. Completions
Richard Borcherds: Algebraic geometry, XLII. Resultants
Richard Borcherds: Algebraic geometry, XLIII. Proper maps
Richard Borcherds: Algebraic geometry, XLIV. Survey of curves
Richard Borcherds: Algebraic geometry, XLV. Hurwitrz curves
Richard Borcherds: Algebraic geometry, XLVI. Examples of Hurwitz curves
Richard Borcherds: Algebraic geometry, XLVII. Resolution of curve singularities
Richard Borcherds: Algebraic geometry, XLVIII. Newton’s rotating ruler
Richard Borcherds: Algebraic geometry, XLIX. Hilbert polynomials
Richard Borcherds: Algebraic geometry, L. The degree of a projective variety
Richard Borcherds: Algebraic geometry, LI. Bazout’s theorem

Richard Borcherds: Algebraic geometry, X. The proof of the Lasker-Noether theorem

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