Class handouts from an algebraic geometry class taught by
Judy Holdener
at CMU in Spring 2013
Handout
01IntroductionToAlgebraicGeometry.pdf
02UnitCircleExample.pdf
03GroupStructureofUnitCircle.pdf
05IdealofaVariety.pdf
06PolynomialsofOneVariable.pdf
07MonomialOrdersandDivisionAlgorithm.pdf
08ExploringtheIdealMembershipProblem.pdf
09MonomialIdealsDicksonLemma.pdf
10HilbertBasisTheorem.pdf
12ExamIReview.pdf
14PropertiesofGroebnerBases.pdf
15BuchbergersAlgorithm.pdf
16BuchbergersAlgorithm.mw
17FunProblem.pdf
18Elimination.pdf
19EliminationwithGroebnerBases.mw
19GeometryofElimination.pptx
20ImplicitizationProblems.pdf
21Resultants.pdf
22Envelopes.mw
22ProofofExtensionTheorem.pptx
23Nullstellensatz.pdf
24MoreApplications.mw
24RadicalMembership.pptx
27OperationsonIdeals.pdf
28QuotientIdeals.pdf
31ReducibleandIrreducibleVarieties.pdf
32UniqueFactorizationofVarieties.pdf
34CoordinateRingonAffineVariety.pdf
35AlgorithmicComputations.pdf
36ClassifyingAffineVarieties.pdf
37VarietyofMonomialIdeal.pdf
40HilbertFunctionIntro.pdf
41ComplementofMonomialIdeal.pdf
42HillbertPolynomialWrapup.pdf