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Binomial Ideals / Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi
Binomial Ideals / Jürgen Herzog, Takayuki Hibi, Hidefumi Ohsugi
Autore Herzog, Jürgen
Pubbl/distr/stampa Cham, : Springer, 2018
Descrizione fisica xix, 321 p. : ill. ; 24 cm
Altri autori (Persone) Hibi, Takayuki
Ohsugi, Hidefumi
Soggetto topico 13-XX - Commutative algebra [MSC 2020]
13F20 - Polynomial rings and ideals; rings of integer-valued polynomials [MSC 2020]
05C25 - Graphs and abstract algebra (groups, rings, fields, etc.) [MSC 2020]
13P10 - Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) [MSC 2020]
52B20 - Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) [MSC 2020]
13P25 - Applications of commutative algebra (e.g., to statistics, control theory, optimization, etc.) [MSC 2020]
05B50 - Polyominoes [MSC 2020]
Soggetto non controllato Algebraic Statistics
Binomial ideals
Combinatorics
Commutative algebra
Convex polytope
Gröbner basis
Join-meet ideals
Storicideals
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0124583
Herzog, Jürgen  
Cham, : Springer, 2018
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui
Introduction to Toric Varieties. (AM-131), Volume 131 / / William Fulton
Introduction to Toric Varieties. (AM-131), Volume 131 / / William Fulton
Autore Fulton William
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (171 pages) : illustrations
Disciplina 516.3/53
Collana Annals of Mathematics Studies
Soggetto topico Toric varieties
Soggetto non controllato Addition
Affine plane
Affine space
Affine variety
Alexander Grothendieck
Alexander duality
Algebraic curve
Algebraic group
Atiyah–Singer index theorem
Automorphism
Betti number
Big O notation
Characteristic class
Chern class
Chow group
Codimension
Cohomology
Combinatorics
Commutative property
Complete intersection
Convex polytope
Convex set
Coprime integers
Cotangent space
Dedekind sum
Dimension (vector space)
Dimension
Direct proof
Discrete valuation ring
Discrete valuation
Disjoint union
Divisor (algebraic geometry)
Divisor
Dual basis
Dual space
Equation
Equivalence class
Equivariant K-theory
Euler characteristic
Exact sequence
Explicit formula
Facet (geometry)
Fundamental group
Graded ring
Grassmannian
H-vector
Hirzebruch surface
Hodge theory
Homogeneous coordinates
Homomorphism
Hypersurface
Intersection theory
Invertible matrix
Invertible sheaf
Isoperimetric inequality
Lattice (group)
Leray spectral sequence
Limit point
Line bundle
Line segment
Linear subspace
Local ring
Mathematical induction
Mixed volume
Moduli space
Moment map
Monotonic function
Natural number
Newton polygon
Open set
Picard group
Pick's theorem
Polytope
Projective space
Quadric
Quotient space (topology)
Regular sequence
Relative interior
Resolution of singularities
Restriction (mathematics)
Resultant
Riemann–Roch theorem
Serre duality
Sign (mathematics)
Simplex
Simplicial complex
Simultaneous equations
Spectral sequence
Subgroup
Subset
Summation
Surjective function
Tangent bundle
Theorem
Topology
Toric variety
Unit disk
Vector space
Weil conjecture
Zariski topology
ISBN 1-4008-8252-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Errata -- Chapter 1. Definitions and examples -- Chapter 2. Singularities and compactness -- Chapter 3. Orbits, topology, and line bundles -- Chapter 4. Moment maps and the tangent bundle -- Chapter 5. Intersection theory -- Notes -- References -- Index of Notation -- Index
Record Nr. UNINA-9910154749903321
Fulton William  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz
Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz
Autore Schwartz Richard Evan
Edizione [Course Book]
Pubbl/distr/stampa Princeton, NJ, : Princeton University Press, c2009
Descrizione fisica 1 online resource (321 p.)
Disciplina 516.9
Collana Annals of mathematics studies
Soggetto topico Hyperbolic spaces
Singularities (Mathematics)
Transformations (Mathematics)
Geometry, Plane
Soggetto non controllato Abelian group
Automorphism
Big O notation
Bijection
Binary number
Bisection
Borel set
C0
Calculation
Cantor set
Cartesian coordinate system
Combination
Compass-and-straightedge construction
Congruence subgroup
Conjecture
Conjugacy class
Continuity equation
Convex lattice polytope
Convex polytope
Coprime integers
Counterexample
Cyclic group
Diameter
Diophantine approximation
Diophantine equation
Disjoint sets
Disjoint union
Division by zero
Embedding
Equation
Equivalence class
Ergodic theory
Ergodicity
Factorial
Fiber bundle
Fibonacci number
Fundamental domain
Gauss map
Geometry
Half-integer
Homeomorphism
Hyperbolic geometry
Hyperplane
Ideal triangle
Intersection (set theory)
Interval exchange transformation
Inverse function
Inverse limit
Isometry group
Lattice (group)
Limit set
Line segment
Linear algebra
Linear function
Line–line intersection
Main diagonal
Modular group
Monotonic function
Multiple (mathematics)
Orthant
Outer billiard
Parallelogram
Parameter
Partial derivative
Penrose tiling
Permutation
Piecewise
Polygon
Polyhedron
Polytope
Product topology
Projective geometry
Rectangle
Renormalization
Rhombus
Right angle
Rotational symmetry
Sanity check
Scientific notation
Semicircle
Sign (mathematics)
Special case
Square root of 2.
Subsequence
Summation
Symbolic dynamics
Symmetry group
Tangent
Tetrahedron
Theorem
Toy model
Translational symmetry
Trapezoid
Triangle group
Triangle inequality
Two-dimensional space
Upper and lower bounds
Upper half-plane
Without loss of generality
Yair Minsky
ISBN 1-282-45858-2
9786612458583
1-4008-3197-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part 1. The Erratic Orbits Theorem -- Chapter 2. The Arithmetic Graph -- Chapter 3. The Hexagrid Theorem -- Chapter 4. Period Copying -- Chapter 5. Proof of the Erratic Orbits Theorem -- Part 2. The Master Picture Theorem -- Chapter 6. The Master Picture Theorem -- Chapter 7. The Pinwheel Lemma -- Chapter 8. The Torus Lemma -- Chapter 9. The Strip Functions -- Chapter 10. Proof of the Master Picture Theorem -- Part 3. Arithmetic Graph Structure Theorems -- Chapter 11. Proof of the Embedding Theorem -- Chapter 12. Extension and Symmetry -- Chapter 13. Proof of Hexagrid Theorem I -- Chapter 14. The Barrier Theorem -- Chapter 15. Proof of Hexagrid Theorem II -- Chapter 16. Proof of the Intersection Lemma -- Part 4. Period-Copying Theorems -- Chapter 17. Diophantine Approximation -- Chapter 18. The Diophantine Lemma -- Chapter 19. The Decomposition Theorem -- Chapter 20. Existence of Strong Sequences -- Part 5. The Comet Theorem -- Chapter 21. Structure of the Inferior and Superior Sequences -- Chapter 22. The Fundamental Orbit -- Chapter 23. The Comet Theorem -- Chapter 24. Dynamical Consequences -- Chapter 25. Geometric Consequences -- Part 6. More Structure Theorems -- Chapter 26. Proof of the Copy Theorem -- Chapter 27. Pivot Arcs in the Even Case -- Chapter 28. Proof of the Pivot Theorem -- Chapter 29. Proof of the Period Theorem -- Chapter 30. Hovering Components -- Chapter 31. Proof of the Low Vertex Theorem -- Appendix -- Bibliography -- Index
Record Nr. UNINA-9910781200003321
Schwartz Richard Evan  
Princeton, NJ, : Princeton University Press, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz
Outer billiards on kites [[electronic resource] /] / Richard Evan Schwartz
Autore Schwartz Richard Evan
Edizione [Course Book]
Pubbl/distr/stampa Princeton, NJ, : Princeton University Press, c2009
Descrizione fisica 1 online resource (321 p.)
Disciplina 516.9
Collana Annals of mathematics studies
Soggetto topico Hyperbolic spaces
Singularities (Mathematics)
Transformations (Mathematics)
Geometry, Plane
Soggetto non controllato Abelian group
Automorphism
Big O notation
Bijection
Binary number
Bisection
Borel set
C0
Calculation
Cantor set
Cartesian coordinate system
Combination
Compass-and-straightedge construction
Congruence subgroup
Conjecture
Conjugacy class
Continuity equation
Convex lattice polytope
Convex polytope
Coprime integers
Counterexample
Cyclic group
Diameter
Diophantine approximation
Diophantine equation
Disjoint sets
Disjoint union
Division by zero
Embedding
Equation
Equivalence class
Ergodic theory
Ergodicity
Factorial
Fiber bundle
Fibonacci number
Fundamental domain
Gauss map
Geometry
Half-integer
Homeomorphism
Hyperbolic geometry
Hyperplane
Ideal triangle
Intersection (set theory)
Interval exchange transformation
Inverse function
Inverse limit
Isometry group
Lattice (group)
Limit set
Line segment
Linear algebra
Linear function
Line–line intersection
Main diagonal
Modular group
Monotonic function
Multiple (mathematics)
Orthant
Outer billiard
Parallelogram
Parameter
Partial derivative
Penrose tiling
Permutation
Piecewise
Polygon
Polyhedron
Polytope
Product topology
Projective geometry
Rectangle
Renormalization
Rhombus
Right angle
Rotational symmetry
Sanity check
Scientific notation
Semicircle
Sign (mathematics)
Special case
Square root of 2.
Subsequence
Summation
Symbolic dynamics
Symmetry group
Tangent
Tetrahedron
Theorem
Toy model
Translational symmetry
Trapezoid
Triangle group
Triangle inequality
Two-dimensional space
Upper and lower bounds
Upper half-plane
Without loss of generality
Yair Minsky
ISBN 1-282-45858-2
9786612458583
1-4008-3197-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- Preface -- Chapter 1. Introduction -- Part 1. The Erratic Orbits Theorem -- Chapter 2. The Arithmetic Graph -- Chapter 3. The Hexagrid Theorem -- Chapter 4. Period Copying -- Chapter 5. Proof of the Erratic Orbits Theorem -- Part 2. The Master Picture Theorem -- Chapter 6. The Master Picture Theorem -- Chapter 7. The Pinwheel Lemma -- Chapter 8. The Torus Lemma -- Chapter 9. The Strip Functions -- Chapter 10. Proof of the Master Picture Theorem -- Part 3. Arithmetic Graph Structure Theorems -- Chapter 11. Proof of the Embedding Theorem -- Chapter 12. Extension and Symmetry -- Chapter 13. Proof of Hexagrid Theorem I -- Chapter 14. The Barrier Theorem -- Chapter 15. Proof of Hexagrid Theorem II -- Chapter 16. Proof of the Intersection Lemma -- Part 4. Period-Copying Theorems -- Chapter 17. Diophantine Approximation -- Chapter 18. The Diophantine Lemma -- Chapter 19. The Decomposition Theorem -- Chapter 20. Existence of Strong Sequences -- Part 5. The Comet Theorem -- Chapter 21. Structure of the Inferior and Superior Sequences -- Chapter 22. The Fundamental Orbit -- Chapter 23. The Comet Theorem -- Chapter 24. Dynamical Consequences -- Chapter 25. Geometric Consequences -- Part 6. More Structure Theorems -- Chapter 26. Proof of the Copy Theorem -- Chapter 27. Pivot Arcs in the Even Case -- Chapter 28. Proof of the Pivot Theorem -- Chapter 29. Proof of the Period Theorem -- Chapter 30. Hovering Components -- Chapter 31. Proof of the Low Vertex Theorem -- Appendix -- Bibliography -- Index
Record Nr. UNINA-9910823888503321
Schwartz Richard Evan  
Princeton, NJ, : Princeton University Press, c2009
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui