Results 151 to 160 of about 6,376 (252)
On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$
Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley +1 more source
Another graded algebra with a nonrational Hilbert series
Recently J. B. Shearer has constructed a graded algebra with a nonrational Hilbert series, a counterexample to Govorov’s conjecture. In this note we give a simpler example.
Yuji Kobayashi
core +1 more source
Generalized free wreath products and their operator algebras
Abstract We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima‐Pittau. We show stability properties for certain approximation properties such as exactness, Haagerup property, hyperlinearity, and K‐amenability. We study qualitative properties of the associated von Neumann algebra: factoriality, primeness,
Pierre Fima, Arthur Troupel
wiley +1 more source
Boundary Algebra: A Simpler Approach to Boolean Algebra and the Sentential Connectives [PDF]
Boundary algebra [BA] is a algebra of type , and a simplified notation for Spencer-Brown’s (1969) primary algebra. The syntax of the primary arithmetic [PA] consists of two atoms, () and the blank page, concatenation, and enclosure between ‘(‘ and ...
Philip Meguire
core
An extended definition of Anosov representation for relatively hyperbolic groups
Abstract We define a new family of discrete representations of relatively hyperbolic groups which unifies many existing definitions and examples of geometrically finite behavior in higher rank. The definition includes the relative Anosov representations defined by Kapovich–Leeb and Zhu, and Zhu–Zimmer, as well as holonomy representations of various ...
Theodore Weisman
wiley +1 more source
Hilbert Coefficients of Quadratic Algebras
If R = k[x1,...,xn]/I is a graded artinian algebra, then the length of k[x1,...,xn]/Is becomes a polynomial in s of degree n for large s. If we write this polynomial in the form ∑0<=i<=n (−1)i ei (s+n−i−1 choose n−i), then the ei's are called Hilbert coefficients of I.
openaire +2 more sources
Combinatorial zeta functions counting triangles
Abstract In this paper, we compute special values of certain combinatorial zeta functions counting geodesic paths in the (n−1)$(n-1)$‐skeleton of a triangulation of an n$n$‐dimensional manifold. We show that they carry a topological meaning. As such, we recover the first Betti and L2$L^2$‐Betti numbers of compact manifolds, and the linking number of ...
Leo Benard +3 more
wiley +1 more source
Thurston norm for coherent right‐angled Artin groups via L2$L^2$‐invariants
Abstract We define a new notion of splitting complexity for a group G$G$ along a non‐trivial integral character ϕ∈H1(G;Z)$\phi \in H^1(G; \mathbb {Z})$. If G$G$ is a one‐ended coherent right‐angled Artin group, we show that the splitting complexity along an epimorphism ϕ:G→Z$\phi \colon G \rightarrow \mathbb {Z}$ equals the L2$L^2$‐Euler characteristic
Monika Kudlinska
wiley +1 more source
New Inequalities of the Kantorovich Type for Bounded Linear Operators in Hilbert Spaces
Some new inequalities of the Kantorovich type are established. They hold for larger classes of operators and subsets of complex numbers than considered before in the literature and provide refinements of the classical results in the case when the ...
Dragomir, Sever S
core
Dos Primórdios da Matemática aos Sistemas Formais da Computação [PDF]
Livro de apoio ao ensino de graduação em disciplinas de matemática discreta e lógica, em cursos de ciência da computação.(0) Introdução (1) As Bases da Ciência da Computa cão,(2) As Origens: A Aritmética, (3) Os Números, (4) Os Números Primos, (5 ...
Sobral, João Bosco M.
core

