Formal & Physical Sciences MathematicsENCommutative algebra 3 (What is a syzygy?)Richard E BorcherdsAugust 4, 2020 32 min★ ★ ★ ★ ★ 5/5Commutative AlgebraInvariant TheorySyzygy
Formal & Physical Sciences MathematicsENCommutative algebra 2 (Rings, ideals, modules)Richard E BorcherdsAugust 4, 2020 30 min★ ★ ★ ★ ★ 5/5Commutative AlgebraRingsIdeals
Formal & Physical Sciences MathematicsENCommutative algebra 1 (Introduction)Richard E BorcherdsAugust 3, 2020 17 min★ ★ ★ ★ ☆ 4/5Commutative AlgebraAlgebraic GeometryNumber Theory
Formal & Physical Sciences MathematicsENSchemes 40: Examples of PicXRichard E BorcherdsJuly 31, 2020 24 min★ ★ ★ ★ ★ 5/5Picard GroupSchemesAlgebraic Geometry
Formal & Physical Sciences MathematicsENSchemes 39: Divisors and Dedekind domainsRichard E BorcherdsJuly 30, 2020 26 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesDivisors
Formal & Physical Sciences MathematicsENSchemes 38: Comparison of Cartier divisors and PicRichard E BorcherdsJuly 30, 2020 25 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesCartier Divisors
Formal & Physical Sciences MathematicsENSchemes 37: Comparison of Weil and Cartier divisorsRichard E BorcherdsJuly 29, 2020 26 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesDivisors
Formal & Physical Sciences MathematicsENSchemes 36: Weil and Cartier divisorsRichard E BorcherdsJuly 29, 2020 22 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesWeil Divisors
Formal & Physical Sciences MathematicsENSchemes 35: Divisors on a Riemann surfaceRichard E BorcherdsJuly 28, 2020 29 min★ ★ ★ ★ ★ 5/5Algebraic GeometryDivisorsRiemann Surfaces
Formal & Physical Sciences MathematicsENSchemes 34: Coherent sheaves on projective spaceRichard E BorcherdsJuly 27, 2020 27 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryCoherent SheavesProjective Space
Formal & Physical Sciences MathematicsENSchemes 33: Vector bundles on the projective lineRichard E BorcherdsJuly 26, 2020 26 min★ ★ ★ ★ ★ 5/5Algebraic GeometryVector BundlesProjective Line
Formal & Physical Sciences MathematicsENSchemes 32: The line bundles O(n) on projective spaceRichard E BorcherdsJuly 25, 2020 28 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesLine Bundles
Formal & Physical Sciences MathematicsENSchemes 31: Coherent sheavesRichard E BorcherdsJuly 23, 2020 31 min★ ★ ★ ★ ★ 5/5Algebraic GeometryCoherent SheavesSchemes
Formal & Physical Sciences MathematicsENSchemes 30: f* and f *Richard E BorcherdsJuly 23, 2020 21 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesSheaves
Formal & Physical Sciences MathematicsENSchemes 29: Invertible sheaves over the projective lineRichard E BorcherdsJuly 22, 2020 31 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesInvertible Sheaves
Formal & Physical Sciences MathematicsENSchemes 28: Examples of quasicoherent sheavesRichard E BorcherdsJuly 21, 2020 30 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesQuasicoherent Sheaves
Formal & Physical Sciences MathematicsENSchemes 27: Quasicoherent sheavesRichard E BorcherdsJuly 20, 2020 27 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesQuasicoherent Sheaves
Formal & Physical Sciences MathematicsENSchemes 26: Abstract and projective varietiesRichard E BorcherdsJuly 19, 2020 15 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesVarieties
Formal & Physical Sciences MathematicsENSchemes 25: Proper morphisms and valuationsRichard E BorcherdsJuly 18, 2020 13 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesProper Morphism
Formal & Physical Sciences MathematicsENSchemes 24: Proper morphismsRichard E BorcherdsJuly 18, 2020 16 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryProper MorphismSchemes
Formal & Physical Sciences MathematicsENSchemes 23: Valuations and separationRichard E BorcherdsJuly 17, 2020 29 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesValuation Rings
Formal & Physical Sciences MathematicsENSchemes 22: Valuation ringsRichard E BorcherdsJuly 16, 2020 24 min★ ★ ★ ★ ★ 5/5Valuation RingsAlgebraic GeometrySchemes
Formal & Physical Sciences MathematicsENSchemes 21: Separated morphismsRichard E BorcherdsJuly 15, 2020 23 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesSeparated Morphisms
Formal & Physical Sciences MathematicsENSchemes 20: Group schemesRichard E BorcherdsJuly 15, 2020 23 min★ ★ ★ ★ ★ 5/5Algebraic GeometryGroup SchemesSchemes
Formal & Physical Sciences MathematicsENSchemes 19: ProductsRichard E BorcherdsJuly 14, 2020 25 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesFibered Products
Formal & Physical Sciences MathematicsENSchemes 18: ImmersionsRichard E BorcherdsJuly 13, 2020 24 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesOpen Immersion
Formal & Physical Sciences MathematicsENSchemes 17: Finite, quasifiniteRichard E BorcherdsJuly 13, 2020 20 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesFinite Morphism
Formal & Physical Sciences MathematicsENSchemes 16: Morphisms of finite typeRichard E BorcherdsJuly 12, 2020 23 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesMorphisms
Formal & Physical Sciences MathematicsENSchemes 15: Quasicompact, NoetherianRichard E BorcherdsJuly 11, 2020 26 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesNoetherian
Formal & Physical Sciences MathematicsENSchemes 14: Irreducible, reduced, integral, connectedRichard E BorcherdsJuly 10, 2020 31 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesReduced
Formal & Physical Sciences MathematicsENSchemes 13: The functor of pointsRichard E BorcherdsJuly 10, 2020 28 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesFunctor of Points
Formal & Physical Sciences MathematicsENSchemes 12: Proj SRichard E BorcherdsJuly 9, 2020 28 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesProjective Schemes
Formal & Physical Sciences MathematicsENSchemes 11: Gluing schemesRichard E BorcherdsJuly 9, 2020 32 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesGluing
Formal & Physical Sciences MathematicsENSchemes 9: Spec R is a locally ringed spaceRichard E BorcherdsJuly 7, 2020 27 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesSpectrum of a Ring
Formal & Physical Sciences MathematicsENSchemes 10: Morphisms of affine schemesRichard E BorcherdsJuly 7, 2020 26 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesMorphisms
Formal & Physical Sciences MathematicsENSchemes 8: LocalizationRichard E BorcherdsJuly 6, 2020 23 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesLocalization
Formal & Physical Sciences MathematicsENSchemes 7: More examples of Spec RRichard E BorcherdsJuly 6, 2020 19 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesSpectrum
Formal & Physical Sciences MathematicsENSchemes 6: The spectrums of C[x,y], Z[x]Richard E BorcherdsJuly 5, 2020 21 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesSpectrum of a Ring
Formal & Physical Sciences MathematicsENSchemes 5: Definition of a schemeRichard E BorcherdsJuly 5, 2020 30 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesSpectrum
Formal & Physical Sciences MathematicsENSchemes 4: f * and f^ 1Richard E BorcherdsJuly 5, 2020 22 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySheavesSchemes