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Rees algebras Cohen-Macaulay Cremona transformation Rees algebra Algebra de Rees Birational maps Free resolution Symmetric algebra Determinantal varieites Graded algebras Associated graded ring Analytic spread Bigradings Rational map joins Canonical module Bases de Groebner Approximation complexes Elimination theory Cremona transformations Algebras simetricas Symbolic power Tangential varieties Cohen-Macaulay rings Koszul homology Anel graduado associado Free divisor Graph Gauss image Syzigies Special fiber Secant variety Algebraic Geometry Tangent star cone Projective module Perfect ideal Linear syzygies Anéis de Cohen-Macaulay Reduction number Dual Variety Linear type Diferenciais de Kähler Derivacoes Birational map Kähler differentials Jacobian ideal Edge-ideal Birational combinatorics Gorenstein Multiplicities Commutative algebra Monomial ideal Symbolic Rees algebra Koszul complex Gorenstein ring Fitting Ideals Minimal free resolutions Diagonal ideal Jacobian matrix Gradient ideal Local cohomology Differentials Syzygies Normality Hilbert function polar map Conormal Module Bayer-Mumford deformation Deformacao de Bayer-Mumford Blowup Monomial curve Integral Closure singularity Homaloidal polynomial Aneis de faces Potencia simbolica Tangent cone Diagonal subalgebra Monomial subalgebra Fitting ideal Hankel matrix Funcoes eliticas Divisor class group Algebra Comutativa Aneis de arestas de um grafo Zariski-Lipman Homological Conjecture Homological-differential conjectures Sequencia regular Ideais monomiais Algebras of Aluffi Generic matrix Jacobian dual Fitting problem Syzygetic ideal Monomials Cohomologia local Ideal inicial Toric algebras Homologia de Koszul Matriz cataletica Algebras de Hodge Funcoes algebricas Complexes Codimension two Cancellation Krull-Schmidt theorem Derivation a-invariant Jacobian Jacobian module Primitive ideal Integral extensions Combinatorics Algebraic curves Ideal of fat points Newton duality Linear presentation algebraic-geometric structures grafos Jacobian dual module Menores determinantais Operadores de Hecke Gauss algebra Sequencia exata fundamental do modulo conormal Elemento primitivo Diferenciais Ideais Determinantais Matriz Jacobiana Cremona group elimination algebras homologia Gradient Hodge algebra Birational extensions Sub-Hankel matrices Aluffi algebra almost Cohen-Macaulay Projective variety Complexos simpliciais Bases SAGBI tangential variety Homogeneous free divisors Linear sections Monômios Fröberg conjecture Normal torsion freeness Dimension Ring spectra Multiplicity Bowtie graph Homaloidal nets Gordan-Noether Comparing multiplicities in linear projections regularity Forma modular Seminormalidade Modulo canonico Subdeterminantes Idealizador diferencial Imagem de Gauss correspondence Factorial conjecture Embedded joins Vector bundles Teorema de Serre-Auslander-Buchsbaum Aneis de polinomios Método genético Colorização de mapas Codimension three Buchsbaum-Eisenbud criterion Depth Ext Module Ample divisor Factorial domains Residue ring Localization Cyclic basis Chain condition Quadratic sequence Segre ring Minors of a matrix Join ideal Higher derivations Algebraic codes symmetric matrix hyperplane arrangement Cremona map Curva algebraica ciência e tecnologia Tangent star Polinomios homaloides Moduli Polinômio de Bernstein-Saito Fecho semi-normal Teorema de Nagata Geometria Projetiva Join and secant ideals Buchsbaum-Rim multipl;icities True base locus and syzygies Differential idealizer Module of Kahler differentials Bourbaki ideal Estabilidade livre Pic Dual de Matlis General forms Rank of modules and of matrices Straightenning-closed ideal Specialization and deformation Betti numbers jacobian correspondence Gorenstein algebra Monomial ideals Algebras de invariantes Corpos Teoria da Equações Poliedros regulares Curva monomial em P3 Hypersurface singularity Divisors class group Factorial closure Downgrading mapping M-complex Free complex Ext functor Polynomial ring Going-Down property Product of varieties Orders rings Modules Codimension deux Monomial ring Gröbner basis Zariski tangent cone Lattice ideal Bourbaki sequences Normal ideal de Jonquières map Cohen?Macaulay Rees algebra generic freeness Downgraded form Vanishing Hessian Teorema de los zeros inovação homological dimension Effective computation Algberas de Rees de diferenciais Ideal Jacobiano geometria algébrica Profundidade de ideais curvas canonicas Anel de operadores diferenciais Teorema de Hochster Polinomio minimo Funcoes modulares Anel Local Problema de Hilbert superficie cubica Bayer-Mumford deformation principle for joins Rees algebras of modules and Bourbaki ideals Birational maps and blowup Algebraic free divisor Maximal spectrum degree of a rational map Envoltória injetiva Divisores livres Method of Koszul comples Rees algebras of modules genus Sequences Associated graded rings Differentials forms Serre theorem Primos associados Integrais eliticas Torsionfrre modules Lagrange, Galois Problema das quatro cores Resolucao livre Poset Normal domain Z-complex Grade Polarized varieties Monoidal transform Valuation Schemes Noetherian Variete Monomiale Polarization Regular local ring Modules of linear type Positive depth saturation The Valabrega-Valla module Orlik-Terao algebra perspectivas Betti diagram Curva algebrica Genero Conexões Meromorfas Cohomologia Otimizacao discreta Teoria dos Invariantes Degree of the Gauss image in the Plucker embedding Higher join ideals Module theoretic criteria for birationality Unimodular matrix IDeterminantal ideals Submaximal minors Idealizadores reflexivos Torsion of algebras Jacobian dual vector Decomposição primária grupos Poligono de Newton Symbolic blow-ups Valla conjecture Huneke-Rossi formula Expected type Laplace expansion height Prufer domain Van Gastel conjecture Toric algebra Buchsbaum-Rim multiplicities Cayley cubic Molecule Cramer ideal m-fullness quadrics Module of derivaions Ratliff-Rush filtration perfect ideal of codimension two specialization DG-algebra Algoritmo de Newton Algoritmo de Buchberger Pertinent bilinear algebras Grupos de transformacoes Serie de Puiseux Numerical invariants Serre criterion Integrality Sliding-depth Maximal minors Valuation ring Zariski tangent algebra Normal module Huckaba-Marley test Koszul algebra Teorema de Abel Teorema de Kronecker Superficies de Riemann Calabi-Yau varieties rational normal scroll