Results 111 to 120 of about 210,779 (252)
Construction of algebraic covers
Let $Y$ be an algebraic variety, $\mathcal{F}$ a locally free sheaf of $\mathcal{O}_Y$-modules, and $\mathcal{R}(\mathcal{F})$ the $\mathcal{O}_Y$-algebra $\operatorname{Sym}^\bullet \mathcal{F}$. In this paper we study local properties of sheaves of $\mathcal{O}_{\mathcal{R}(\mathcal{F})}$-ideals $\mathcal{I}$ such that $\mathcal{R}(\mathcal{F ...
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On regularity of symbolic Rees algebras and symbolic powers of vertex cover ideals of graphs [PDF]
Ramakrishna Nanduri
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The Reflectiveness of Covering Morphisms in Algebra and Geometry
Summary: Each full reflective subcategory \(\mathcal X\) of a finitely-complete category \(\mathcal C\) gives rise to a factorization system \(({\mathcal E}, {\mathcal M})\) on \(\mathcal C\), where \({\mathcal E}\) consists of the morphisms of \({\mathcal C}\) inverted by the reflexion \(I : {\mathcal C}\to {\mathcal X}\).
Janelidze, G., Kelly, G. M.
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The qudit Pauli group: non-commuting pairs, non-commuting sets, and structure theorems [PDF]
Qudits with local dimension $d \gt 2$ can have unique structure and uses that qubits ($d=2$) cannot. Qudit Pauli operators provide a very useful basis of the space of qudit states and operators.
Rahul Sarkar, Theodore J. Yoder
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Vertex cover algebras of unimodular hypergraphs [PDF]
Jürgen Herzog +2 more
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Unramified Galois Coverings of Algebraic Curves
Let \(X\) be a complete nonsingular irreducible algebraic curve of genus \(g \) defined over an algebraically closed field \(k\) of characteristic \(p > 0\). Let \(\pi_1 (X)\) be its algebraic fundamental group, and \(\Gamma_g\) the topological fundamental group of (any) compact Riemann surface of genus \(g\).
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Coverings of graded pointed Hopf algebras
We introduce the concept of a covering of a graded pointed Hopf algebra. The theory developed shows that coverings of a bosonized Nichols algebra can be concretely expressed by biproducts using a quotient of the universal coalgebra covering group of the Nichols algebra.
Beneish, Esther, Chin, William
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Quasi-hereditary covers of higher zigzag-algebras [PDF]
Gabriele Bocca
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The lattice of C $^*$ -covers of an operator algebra
Abstract In this article, it is shown that the lattice of C $^*$ -covers of an operator algebra does not contain enough information to distinguish operator algebras up to completely isometric isomorphism. In addition, four natural equivalences of the lattice of C $^*$ -covers are developed and ...
Adam Humeniuk, Christopher Ramsey
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Covers of the multiplicative group of an algebraically closed field of characteristic zero [PDF]
Boris Zilber
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