Results 51 to 60 of about 52,649 (219)

The Arithmetic and Geometry of a Class of Algebraic Surfaces of General Type and Geometric Genus One [PDF]

, 2010
We study of a class of algebraic surfaces of general type and geometric genus one, with a view toward arithmetic results. These surfaces, called CC surfaces here, have been classified over the complex numbers by Catanese and Ciliberto.
Lyons, Christopher Michael
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Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two [PDF]

Épijournal de Géométrie Algébrique, 2019
We classify singular Enriques surfaces in characteristic two supporting a rank nine configuration of smooth rational curves. They come in one-dimensional families defined over the prime field, paralleling the situation in other characteristics, but ...
Matthias Schütt
doaj   +1 more source

Studies on the number theory of orders [PDF]

, 1982
Bibliography: pages 78-81.In the nineteenth century no distinction was drawn between maximal and nonmaximal orders in a numberfield. Most of the work on orders in this period was done by Dedekind and Kronecker.
Omar, Mohammed Rafiq
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General Algebraic Solutions of Fuzzy Dual Number Linear Systems

Journal of Applied Mathematics
In this paper, we define fuzzy dual number linear systems (FDLSs) expressed as CZ˜=W˜, where C represents a crisp dual number matrix and W˜ denotes a fuzzy dual number vector. Our study focuses on three primary objectives.
Hongjie Jiang, Pengcheng Xiao, Xiaoji Liu   +2 more
doaj   +1 more source

An improved peak-selection algorithm using block-based recurrence Cholesky decomposition for mesh deformation

AIP Advances, 2021
An improved peak-selection algorithm is proposed for mesh deformation. With the use of the newly derived block-based recurrence Cholesky (BRC) decomposition scheme, the computational complexity for solving the linear algebraic system in the data reducing
Jing Liu, Hong Fang, Fanli Shan, Shu Li, He Zhang   +4 more
doaj   +1 more source

Prime Spectrum of the Ring of Adeles of a Number Field

Mathematics, 2022
Much is known about the adele ring of an algebraic number field from the perspective of harmonic analysis and class field theory. However, its ring-theoretical aspects are often ignored.
Álvaro Serrano Holgado
doaj   +1 more source

Algebraic winding numbers

Journal of Algebra
In this paper, we propose a new algebraic winding number and prove that it computes the number of complex roots of a polynomial in a rectangle, including roots on edges or vertices with appropriate counting. The definition makes sense for the algebraic closure C = R[i] of a real closed field R, and the root counting result also holds in this case.
Perrucci, Daniel, Roy, Marie-Françoise
openaire   +4 more sources

Algebraic causality : Bayes nets and beyond [PDF]

, 2007
The relationship between algebraic geometry and the inferential framework of the Bayesian Networks with hidden variables has now been fruitfully explored and exploited by a number of authors.
Riccomagno, Eva, Smith, J. Q.
core  

Upper bounds for Euclidean minima of algebraic number fields [PDF]

The aim of this paper is to give new upper bounds for Euclidean minima of algebraic number fields. In particular, to show that Minkowski's conjecture holds for the maximal totally real subfields of cyclotomic fields of prime power conductor ...
Bayer Fluckiger, Eva
core   +1 more source

Algebraic Quantum Field Theory [PDF]

, 2006
Algebraic quantum field theory provides a general, mathematically precise description of the structure of quantum field theories, and then draws out consequences of this structure by means of various mathematical tools -- the theory of operator algebras,
Halvorson, Hans, Mueger, Michael
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