Structure of the Main Tensor of Conformally Connected Torsion Free Space. Conformal Connections on Hypersurfaces of Projective Space
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DOI: 10.1007/s10958-018-3815-z
Abstract: We give a definition of a conformally connected space with an angular metric of an arbitrary signature. We present basic formulas and classes of such spaces. We obtain the decomposition of the main tensor of… read more here.
Keywords: torsion free; space; projective space; tensor ... See more keywords
Use of Block Toeplitz Matrix in the Study of Möbius Pairs of Simplexes in Higher-Dimensional Projective Space
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DOI: 10.1007/s40598-020-00142-y
Abstract: A simplex in a projective space of dimension n is expressed by a matrix of order n + 1, where each row represents the homogeneous coordinates of a vertex of the simplex with respect to a… read more here.
Keywords: block toeplitz; space; toeplitz matrix; projective space ... See more keywords
Construction of symplectic vector bundles on projective space P3
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DOI: 10.1016/j.geomphys.2020.103949
Abstract: Abstract The moduli spaces of symplectic vector bundles of arbitrary rank on projective space P 3 are far from being well-understood. By now the only type of such bundles having satisfactory description are the so-called… read more here.
Keywords: projective space; vector; symplectic vector; vector bundles ... See more keywords
Identifying limits of ideals of points in the case of projective space
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DOI: 10.1016/j.laa.2021.11.003
Abstract: In this paper we study the closure of the locus of radical ideals in the multigraded Hilbert scheme associated with a standard graded polynomial ring and the Hilbert function of a homogeneous coordinate ring of… read more here.
Keywords: space; identifying limits; projective space; limits ideals ... See more keywords
ON THE SYMMETRIC SQUARES OF COMPLEX AND QUATERNIONIC PROJECTIVE SPACE – ADDENDUM
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DOI: 10.1017/s0017089518000101
Abstract: The page numbers shown in Appendix B have been updated to reflect the final pagination of the article. read more here.
Keywords: space addendum; projective space; complex quaternionic; squares complex ... See more keywords
Views of Real Projective 3-Space by Stable Maps into the Plane
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DOI: 10.1080/10586458.2016.1142910
Abstract: ABSTRACT Smooth stable maps into the plane enable us to get the graphical views of the source manifolds. In this article, we present two such maps of the real projective 3-space constructed from typical two… read more here.
Keywords: stable maps; projective space; maps plane; real projective ... See more keywords
Three ways to solve critical ϕ4 theory on 4 − dimensional real projective space: Perturbation, bootstrap, and Schwinger–Dyson equation
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DOI: 10.1142/s0217751x18500495
Abstract: We solve the two-point function of the lowest dimensional scalar operator in the critical $\phi^4$ theory on $4-\epsilon$ dimensional real projective space in three different methods. The first is to use the conventional perturbation theory,… read more here.
Keywords: theory; projective space; real projective; dimensional real ... See more keywords
Uniqueness polynomials for holomorphic curves into the complex projective space
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DOI: 10.2298/fil2002351y
Abstract: In this paper, by making use of uniqueness polynomials for meromorphic functions, we obtain a class of uniqueness polynomials for holomorphic curves from the complex plane into complex projective space. The related uniqueness problems are… read more here.
Keywords: curves complex; projective space; polynomials holomorphic; holomorphic curves ... See more keywords