Multigraded algebra and applications : NSA 24, Moieciu de Sus, Romania, August 2016 /: NSA 24, Moieciu de Sus, Romania, August 2016. ([2018])

• Record Type: Book
• Other Titles: NSA 24
• Further Information: Note: Edited by Viviana Ene, Ezra Miller, editors.
• Editors: Ene, Viviana, 1960-; Miller, Ezra, 1974-
• Other Names: Romanian National School on Algebra; EMS Summer School on Multigraded Algebra and Applications
• Contents: Intro; Preface; Contents; Contributors; On Toric Face Rings II; 1 Introduction; 2 Preliminary on Log Pairs, Codimension One Residues; 2.1 Rational Pluri-Differential Forms on Normal Varieties; 2.2 Log Pairs and Varieties; 2.3 Log Canonical Singularities, lc Centers; 2.4 Residues in Codimension One lc Centers, Different; 2.5 Volume Forms on the Torus; 2.6 Affine Toric Log Pairs; 3 Serre's Property S2 for Affine Toric Varieties; 3.1 Irreducible Case; 3.2 Reducible Case; 3.3 The Core; 4 Weakly Normal Log Pairs; 4.1 Weakly Log Canonical Singularities, lc Centers 4.2 Residues in Codimension One lc Centers, Different4.3 Semi-log Canonical Singularities; 5 Toric Weakly Normal Log Pairs; 5.1 Irreducible Case; 5.2 Reducible Case; 5.3 The LCS Locus; 6 Residues to lc Centers of Higher Codimension; 6.1 Higher Codimension Residues for Normal Crossings Pairs; References; Toric Rings, Inseparability and Rigidity; 1 Introduction; 2 Infinitesimal Deformations; 3 The Cotangent Functor T1; 4 T1 for Toric Rings; 5 Separable and Inseparable Saturated Lattices; 6 Inseparable Bipartite Graphs; 7 On the Semi-rigidity of Bipartite Graphs 8 Classes of Bipartite Graphs Which Are Semi-rigid or RigidReferences; On the Stanley Depth and the Schmitt-Vogel Number of Squarefree Monomial Ideals; 1 Introduction; 2 Schmitt-Vogel Number and Stanley Depth; References; Binomial Edge Ideals: A Survey; 1 Introduction; 2 Gröbner Bases and Koszul Property; 3 Primary Decomposition and Minimal Primes; 4 Cohen-Macaulay Binomial Edge Ideals; 5 Minimal Graded Free Resolution; References; On Codimension Two Flats in Fermat-Type Arrangements; 1 Introduction; 2 Notation and Basic Properties; 3 Fermat Arrangements of Codimension Two Flats 4 The Non-containment Result5 Concluding Remarks; References; The Monomial Ideal of Independent Sets Associated to a Graph; 1 Introduction; 2 Preliminaries; 3 Invariants of the Monomial Ideal of Independent Sets; 4 Applications on Some Classes of Graphs; 4.1 The Path Graph Pn; 4.2 The Centipede Graph; 4.3 Powers of the Cycle Graph; References; A Bound on Degrees of Primitive Elements of Toric Ideals of Graphs; 1 Introduction; 2 Graver Bases and Circuits in Toric Ideals of Graphs; 3 Further Remarks; References; Betti Numbers for Numerical Semigroup Rings; 1 Introduction; 2 Algebraic Warm-Up 3 The Type of a Numerical Semigroup4 Shifted Families of Semigroups and Upper Bounds for the Number of Defining Equations; 5 Betti Numbers for Simple Gluings; 6 Some Examples; 6.1 Complete Intersections; 6.2 Arithmetic Sequences; 7 Embedding Dimension at Most 3; 7.1 The 2-Generated Case; 7.2 The 3-Generated Case; 8 Large Betti Numbers in Embedding Dimension 4; 8.1 Bresinsky Semigroups; 8.2 Arslan Semigroups; 9 Embedding Dimension 4, Continued; 9.1 AA-Sequences; 9.2 Symmetric Semigroups; 9.3 Pseudosymmetric Semigroups; 9.4 Further Extensions; References
• Publisher Details: Cham, Switzerland : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 512/.44; Mathematics; Commutative algebra -- Congresses; Combinatorial analysis -- Congresses; MATHEMATICS / Algebra / Intermediate; Combinatorial analysis; Commutative algebra; Algebra; Mathematics -- Algebra -- Abstract; Algebra; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319904931; 3319904930
• Related ISBNs: 9783319904924
• Notes: Note: Online resource; title from PDF title page (SpringerLink, viewed June 14, 2018).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.