Combinatorial algebraic geometry : Levico Terme, Italy 2013 / Aldo Conca ... [et al.] ; edited by Sandra Di Rocco, Bernd Sturmfels ; in collaboration with CIRM, Centro internazionale per la ricerca matematica |
Pubbl/distr/stampa | Cham [Switzerland] : Springer, [2014] |
Descrizione fisica | vii, 239 p. : ill. (some col.) ; 24 cm |
Disciplina | 516.35 |
Altri autori (Persone) |
Di Rocco, Sandra, 1967-editor
Sturmfels, Bernd, 1962-editor, author Conca, Aldo, 1965-author Draisma, Jan, 1975- Huh, June Di Rocco, Sandra, 1967- Viviani, Filippo |
Altri autori (Enti) |
Centro internazionale per la ricerca matematica |
Altri autori (Convegni) | C.I.M.E. Summer School <2013 ; Levico Terme, Italy> |
Collana | Lecture notes in mathematics, 0075-8434 ; 2108. CIME foundation subseries |
Soggetto topico |
Geometry, Algebraic - Congresses
Combinatorial geometry - Congresses Combinatorial analysis - Congresses Koszul algebras Toric varieties Hermitian symmetric spaces |
ISBN |
9783319048697 (pbk.)
3319048694 (pbk.) |
Classificazione |
AMS 14-06
LC QA3.L28 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Koszul algebras and their syzygies / Aldo Conca ; Noetherianity up to symmetry / Jan Draisma ; Likelihood geometry / June Huh and Bernd Sturmfels ; Linear toric fibrations / Sandra di Rocco ; A tour on Hermitian symmetric manifolds / Filippo Viviani |
Record Nr. | UNISALENTO-991002947099707536 |
Cham [Switzerland] : Springer, [2014] | ||
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Lo trovi qui: Univ. del Salento | ||
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Convexity of Singular Affine Structures and Toric-Focus Integrable Hamiltonian Systems |
Autore | Ratiu Tudor S |
Edizione | [1st ed.] |
Pubbl/distr/stampa | Providence : , : American Mathematical Society, , 2023 |
Descrizione fisica | 1 online resource (102 pages) |
Disciplina |
516/.08
516.08 |
Altri autori (Persone) |
WacheuxChristophe
ZungNguyen Tien |
Collana | Memoirs of the American Mathematical Society Series |
Soggetto topico |
Convex domains
Affine differential geometry Hamiltonian systems Toric varieties Dynamical systems and ergodic theory -- Finite-dimensional Hamiltonian, Lagrangian, contact, and nonholonomic systems -- Completely integrable systems, topological structure of phase space, integratio Differential geometry -- Classical differential geometry -- Affine differential geometry Convex and discrete geometry -- General convexity -- Axiomatic and generalized convexity |
ISBN | 1-4704-7540-5 |
Classificazione | 37J3553A1552A01 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Cover -- Title page -- Chapter 1. Introduction -- Positive convexity results -- Negative convexity results -- Organization of the paper -- Acknowledgment -- Chapter 2. A brief overview of convexity in symplectic geometry and in integrable Hamiltonian systems -- 2.1. Kostant's Linear Convexity Theorem -- 2.2. Infinite dimensional Lie theory -- 2.3. "Linear" symplectic formulations -- 2.4. "Non-linear" symplectic formulations -- 2.5. Local-Global Convexity Principle -- 2.6. Convexity in integrable Hamiltonian systems -- Chapter 3. Toric-focus integrable Hamiltonian systems -- 3.1. Integrable systems -- 3.2. Local normal form of non-degenerate singularities -- 3.3. Semi-local structure of singularities -- 3.4. Topology and differential structure of the base space -- 3.5. Integral affine structure on the base space -- Chapter 4. Base spaces and affine manifolds with focus singularities -- 4.1. Monodromy and affine coordinates near elementary focus points -- 4.2. Affine coordinates near focus points in higher dimensions -- 4.3. Behavior of the affine structure near focus^{ } points -- 4.4. Definition of affine structures with focus points -- Chapter 5. Straight lines and convexity -- 5.1. Regular and singular straight lines -- 5.2. Singular straight lines in dimension 2 and branched extension -- 5.3. Straight lines in dimension near a focus point -- 5.4. Straight lines near a focus^{ } point -- 5.5. The notions of convexity and strong convexity -- Chapter 6. Local convexity at focus points -- 6.1. Convexity of focus boxes in dimension 2 -- 6.2. Convexity of focus boxes in higher dimensions -- 6.3. Existence of non-convex focus^{ } boxes -- Chapter 7. Global convexity -- 7.1. Local-global convexity principle -- 7.2. Angle variation of a curve on an affine surface -- 7.3. Convexity of compact affine surfaces with non-empty boundary.
7.4. Convexity in the non-compact proper case -- 7.5. Non-convex examples in the non-proper case -- 7.6. An affine black hole and non-convex ² -- 7.7. A globally convex ² example -- 7.8. Convexity of toric-focus base spaces in higher dimensions -- Bibliography -- Index -- Back Cover. |
Record Nr. | UNINA-9910915797003321 |
Ratiu Tudor S
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Providence : , : American Mathematical Society, , 2023 | ||
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Lo trovi qui: Univ. Federico II | ||
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Dimer models and Calabi-Yau algebras / / Nathan Broomhead |
Autore | Broomhead Nathan <1982-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
Descrizione fisica | 1 online resource (86 p.) |
Disciplina | 516.3/52 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Toric varieties
Calabi-Yau manifolds Noncommutative algebras Geometry, Algebraic |
Soggetto genere / forma | Electronic books. |
ISBN | 0-8218-8514-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Acknowledgements""; ""Chapter 1. Introduction""; ""1.1. Overview""; ""1.2. Structure of the article and main results""; ""1.3. Related results""; ""Chapter 2. Introduction to the dimer model""; ""2.1. Quivers and algebras from dimer models""; ""2.2. Symmetries""; ""2.3. Perfect matchings""; ""Chapter 3. Consistency""; ""3.1. A further condition on the R-symmetry""; ""3.2. Rhombus tilings""; ""3.3. Zig-zag flows""; ""3.4. Constructing dimer models""; ""3.5. Some consequences of geometric consistency""; ""Chapter 4. Zig-zag flows and perfect matchings""; ""4.1. Boundary flows""
""4.2. Some properties of zig-zag flows""""4.3. Right and left hand sides""; ""4.4. Zig-zag fans""; ""4.5. Constructing some perfect matchings""; ""4.6. The extremal perfect matchings""; ""4.7. The external perfect matchings""; ""Chapter 5. Toric algebras and algebraic consistency""; ""5.1. Toric algebras""; ""5.2. Some examples""; ""5.3. Some properties of toric algebras""; ""5.4. Algebraic consistency for dimer models""; ""5.5. Example""; ""Chapter 6. Geometric consistency implies algebraic consistency""; ""6.1. Flows which pass between two vertices""; ""6.2. Proof of Proposition 6.2"" ""6.3. Proof of Theorem 6.1""""Chapter 7. Calabi-Yau algebras from algebraically consistent dimers""; ""7.1. Calabi-Yau algebras""; ""7.2. The one sided complex""; ""7.3. Key lemma""; ""7.4. The main result""; ""Chapter 8. Non-commutative crepant resolutions""; ""8.1. Reflexivity""; ""8.2. Non-commutative crepant resolutions""; ""Bibliography"" |
Record Nr. | UNINA-9910480937503321 |
Broomhead Nathan <1982->
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Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
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Lo trovi qui: Univ. Federico II | ||
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Dimer models and Calabi-Yau algebras / / Nathan Broomhead |
Autore | Broomhead Nathan <1982-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
Descrizione fisica | 1 online resource (86 p.) |
Disciplina | 516.3/52 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Toric varieties
Calabi-Yau manifolds Noncommutative algebras Geometry, Algebraic |
ISBN | 0-8218-8514-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Acknowledgements""; ""Chapter 1. Introduction""; ""1.1. Overview""; ""1.2. Structure of the article and main results""; ""1.3. Related results""; ""Chapter 2. Introduction to the dimer model""; ""2.1. Quivers and algebras from dimer models""; ""2.2. Symmetries""; ""2.3. Perfect matchings""; ""Chapter 3. Consistency""; ""3.1. A further condition on the R-symmetry""; ""3.2. Rhombus tilings""; ""3.3. Zig-zag flows""; ""3.4. Constructing dimer models""; ""3.5. Some consequences of geometric consistency""; ""Chapter 4. Zig-zag flows and perfect matchings""; ""4.1. Boundary flows""
""4.2. Some properties of zig-zag flows""""4.3. Right and left hand sides""; ""4.4. Zig-zag fans""; ""4.5. Constructing some perfect matchings""; ""4.6. The extremal perfect matchings""; ""4.7. The external perfect matchings""; ""Chapter 5. Toric algebras and algebraic consistency""; ""5.1. Toric algebras""; ""5.2. Some examples""; ""5.3. Some properties of toric algebras""; ""5.4. Algebraic consistency for dimer models""; ""5.5. Example""; ""Chapter 6. Geometric consistency implies algebraic consistency""; ""6.1. Flows which pass between two vertices""; ""6.2. Proof of Proposition 6.2"" ""6.3. Proof of Theorem 6.1""""Chapter 7. Calabi-Yau algebras from algebraically consistent dimers""; ""7.1. Calabi-Yau algebras""; ""7.2. The one sided complex""; ""7.3. Key lemma""; ""7.4. The main result""; ""Chapter 8. Non-commutative crepant resolutions""; ""8.1. Reflexivity""; ""8.2. Non-commutative crepant resolutions""; ""Bibliography"" |
Record Nr. | UNINA-9910788616903321 |
Broomhead Nathan <1982->
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Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Dimer models and Calabi-Yau algebras / / Nathan Broomhead |
Autore | Broomhead Nathan <1982-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
Descrizione fisica | 1 online resource (86 p.) |
Disciplina | 516.3/52 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Toric varieties
Calabi-Yau manifolds Noncommutative algebras Geometry, Algebraic |
ISBN | 0-8218-8514-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Acknowledgements""; ""Chapter 1. Introduction""; ""1.1. Overview""; ""1.2. Structure of the article and main results""; ""1.3. Related results""; ""Chapter 2. Introduction to the dimer model""; ""2.1. Quivers and algebras from dimer models""; ""2.2. Symmetries""; ""2.3. Perfect matchings""; ""Chapter 3. Consistency""; ""3.1. A further condition on the R-symmetry""; ""3.2. Rhombus tilings""; ""3.3. Zig-zag flows""; ""3.4. Constructing dimer models""; ""3.5. Some consequences of geometric consistency""; ""Chapter 4. Zig-zag flows and perfect matchings""; ""4.1. Boundary flows""
""4.2. Some properties of zig-zag flows""""4.3. Right and left hand sides""; ""4.4. Zig-zag fans""; ""4.5. Constructing some perfect matchings""; ""4.6. The extremal perfect matchings""; ""4.7. The external perfect matchings""; ""Chapter 5. Toric algebras and algebraic consistency""; ""5.1. Toric algebras""; ""5.2. Some examples""; ""5.3. Some properties of toric algebras""; ""5.4. Algebraic consistency for dimer models""; ""5.5. Example""; ""Chapter 6. Geometric consistency implies algebraic consistency""; ""6.1. Flows which pass between two vertices""; ""6.2. Proof of Proposition 6.2"" ""6.3. Proof of Theorem 6.1""""Chapter 7. Calabi-Yau algebras from algebraically consistent dimers""; ""7.1. Calabi-Yau algebras""; ""7.2. The one sided complex""; ""7.3. Key lemma""; ""7.4. The main result""; ""Chapter 8. Non-commutative crepant resolutions""; ""8.1. Reflexivity""; ""8.2. Non-commutative crepant resolutions""; ""Bibliography"" |
Record Nr. | UNINA-9910827787703321 |
Broomhead Nathan <1982->
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Providence, Rhode Island : , : American Mathematical Society, , 2011 | ||
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Lo trovi qui: Univ. Federico II | ||
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Fonction Zêta des hauteurs des variétés toriques non déployées / / David Bourqui |
Autore | Bourqui David |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
Descrizione fisica | 1 online resource (151 p.) |
Disciplina | 512.7/3 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Functions, Zeta
Toric varieties |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0611-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNINA-9910480397103321 |
Bourqui David
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Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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Fonction Zêta des hauteurs des variétés toriques non déployées / / David Bourqui |
Autore | Bourqui David |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
Descrizione fisica | 1 online resource (151 p.) |
Disciplina | 512.7/3 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Functions, Zeta
Toric varieties |
ISBN | 1-4704-0611-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNINA-9910788865803321 |
Bourqui David
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Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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Fonction Zêta des hauteurs des variétés toriques non déployées / / David Bourqui |
Autore | Bourqui David |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 2010 |
Descrizione fisica | 1 online resource (151 p.) |
Disciplina | 512.7/3 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Functions, Zeta
Toric varieties |
ISBN | 1-4704-0611-X |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | fre |
Record Nr. | UNINA-9910817396203321 |
Bourqui David
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Providence, Rhode Island : , : American Mathematical Society, , 2010 | ||
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Lo trovi qui: Univ. Federico II | ||
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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
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Schottky groups and Mumford curves / Lothar Gerritzen, Marius van der Put |
Autore | Gerritzen, Lothar |
Pubbl/distr/stampa | Berlin ; New York : Springer-Verlag, 1980 |
Descrizione fisica | viii, 316 p. : diagrs. ; 25 cm |
Disciplina | 512.33 |
Altri autori (Persone) | Put, Marius : van derauthor |
Collana | Lecture notes in mathematics, 0075-8434 ; 817 |
Soggetto topico |
Algebraic curves
Algebraic fields Analytic spaces Automorphic forms Discontinuous groups p-adic theory Toric varieties |
ISBN | 3540102299 |
Classificazione |
AMS 11E95
AMS 14M25 AMS 32J99 AMS 32K15 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001316819707536 |
Gerritzen, Lothar
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Berlin ; New York : Springer-Verlag, 1980 | ||
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Lo trovi qui: Univ. del Salento | ||
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