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 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
Formal & Physical Sciences MathematicsENSchemes 3: exactness and sheavesRichard E BorcherdsJuly 4, 2020 24 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySheavesExact Sequences
Formal & Physical Sciences MathematicsENSchemes 2: Etale spacesRichard E BorcherdsJuly 4, 2020 25 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySheavesEtale Space
Formal & Physical Sciences MathematicsENSchemes 1: IntroductionRichard E BorcherdsJuly 4, 2020 28 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySchemesSheaves
Formal & Physical Sciences MathematicsENAlgebraic geometry 51: Bezout's theoremRichard E BorcherdsJune 22, 2020 34 min★ ★ ★ ★ ★ 5/5Bezout's TheoremAlgebraic GeometryProjective Space
Formal & Physical Sciences MathematicsENAlgebraic geometry 50: The degree of a projective varietyRichard E BorcherdsJune 21, 2020 19 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryProjective VarietyDegree
Formal & Physical Sciences MathematicsENAlgebraic geometry 49: Hilbert polynomialsRichard E BorcherdsJune 21, 2020 15 min★ ★ ★ ★ ★ 5/5Hilbert PolynomialGraded ModulesAlgebraic Geometry
Formal & Physical Sciences MathematicsENAlgebraic geometry 48: Newton's rotating rulerRichard E BorcherdsJune 20, 2020 23 min★ ★ ★ ★ ★ 5/5Newton PolygonPuiseux SeriesAlgebraic Geometry
Formal & Physical Sciences MathematicsENAlgebraic geometry 47: Resolution of curve singularitiesRichard E BorcherdsJune 19, 2020 21 min★ ★ ★ ★ ★ 5/5Algebraic GeometrySingularitiesBlowup
Formal & Physical Sciences MathematicsENAlgebraic geometry 46: Examples of Hurwitz curvesRichard E BorcherdsJune 18, 2020 13 min★ ★ ★ ★ ★ 5/5Algebraic GeometryHurwitz CurvesAutomorphism Groups
Formal & Physical Sciences MathematicsENAlgebraic geometry 45: Hurwitz curvesRichard E BorcherdsJune 18, 2020 17 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryHurwitz CurvesGroup Actions
Formal & Physical Sciences MathematicsENAlgebraic geometry 44: Survey of curvesRichard E BorcherdsJune 17, 2020 25 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryCurvesGenus
Formal & Physical Sciences MathematicsENAlgebraic geometry 43: Proper mapsRichard E BorcherdsJune 16, 2020 25 min★ ★ ★ ★ ★ 5/5Algebraic GeometryProper MapsProjective Varieties
Formal & Physical Sciences MathematicsENAlgebraic geometry 42: ResultantsRichard E BorcherdsJune 15, 2020 14 min★ ★ ★ ★ ★ 5/5ResultantElimination TheoryAlgebraic Geometry
Formal & Physical Sciences MathematicsENAlgebraic geometry 41: CompletionsRichard E BorcherdsJune 15, 2020 19 min★ ★ ★ ★ ★ 5/5Algebraic GeometryCompletionsHensel's Lemma
Formal & Physical Sciences MathematicsENalgebraic geometry 40 Examples of resolutionsRichard E BorcherdsJune 14, 2020 22 min★ ★ ★ ★ ★ 5/5Algebraic GeometryResolution of SingularitiesBlow-Up
Formal & Physical Sciences MathematicsENalgebraic geometry 39 Du Val singularitiesRichard E BorcherdsJune 14, 2020 19 min★ ★ ★ ★ ★ 5/5Algebraic GeometryDu Val SingularitiesBlow-Up
Formal & Physical Sciences MathematicsENalgebraic geometry 36 The Atiyah flopRichard E BorcherdsJune 13, 2020 12 min★ ★ ★ ★ ★ 5/5Algebraic GeometryBirational GeometryAtiyah Flop
Formal & Physical Sciences MathematicsENalgebraic geometry 35 More on blow upsRichard E BorcherdsJune 12, 2020 22 min★ ★ ★ ★ ★ 5/5Algebraic GeometryBlow-UpBirational Geometry
Formal & Physical Sciences MathematicsENalgebraic geometry 34 Blowing up a pointRichard E BorcherdsJune 12, 2020 23 min★ ★ ★ ★ ☆ 4/5Algebraic GeometryBlow-UpSingularities