Downloads provided by UsageCountsBass numbers of local cohomology of cover ideals of graphs
Copyright policy ) Álvarez Montaner, Josep; Sohrabi, Fatemeh;
Bass numbers of local cohomology of cover ideals of graphs
We develop splitting techniques to study Lyubeznik numbers of cover ideals of graphs which allow us to describe them for large families of graphs including forests, cycles, wheels and cactus graphs. More generally we are able to compute all the Bass numbers and the shape of the injective resolution of local cohomology modules by considering the connected components of the corresponding subgraphs. Indeed our method gives us a very simple criterion for the vanishing of these local cohomology modules in terms of the connected components.
31 pages
- Universitat Politècnica de Catalunya Spain
- Universitat Polit?cnica de Catalunya Spain
- Universitat Polite`cnica de Catalunya Spain
- University of Mohaghegh Ardabili Iran (Islamic Republic of)
Àlgebra homològica, Classificació AMS::05 Combinatorics::05C Graph theory, Injective resolution, Commutative Algebra (math.AC), local cohomology, injective resolution, Grafs, FOS: Mathematics, Mathematics - Combinatorics, graphs, Àrees temàtiques de la UPC::Matemàtiques i estadística, Local cohomology, Connectivity, Teoria de, :13 Commutative rings and algebras::13C Theory of modules and ideals [Classificació AMS], Grafs, Teoria de, Injective and flat modules and ideals in commutative rings, Homological algebra, :Matemàtiques i estadística [Àrees temàtiques de la UPC], Mathematics - Commutative Algebra, Classificació AMS::13 Commutative rings and algebras::13C Theory of modules and ideals, Classificació AMS::13 Commutative rings and algebras::13D Homological methods, Graph theory, Local cohomology and commutative rings, connectivity, Combinatorics (math.CO), :13 Commutative rings and algebras::13D Homological methods [Classificació AMS], :05 Combinatorics::05C Graph theory [Classificació AMS], Paths and cycles, Graphs
Àlgebra homològica, Classificació AMS::05 Combinatorics::05C Graph theory, Injective resolution, Commutative Algebra (math.AC), local cohomology, injective resolution, Grafs, FOS: Mathematics, Mathematics - Combinatorics, graphs, Àrees temàtiques de la UPC::Matemàtiques i estadística, Local cohomology, Connectivity, Teoria de, :13 Commutative rings and algebras::13C Theory of modules and ideals [Classificació AMS], Grafs, Teoria de, Injective and flat modules and ideals in commutative rings, Homological algebra, :Matemàtiques i estadística [Àrees temàtiques de la UPC], Mathematics - Commutative Algebra, Classificació AMS::13 Commutative rings and algebras::13C Theory of modules and ideals, Classificació AMS::13 Commutative rings and algebras::13D Homological methods, Graph theory, Local cohomology and commutative rings, connectivity, Combinatorics (math.CO), :13 Commutative rings and algebras::13D Homological methods [Classificació AMS], :05 Combinatorics::05C Graph theory [Classificació AMS], Paths and cycles, Graphs
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