Results 1 to 10 of about 9,387,300 (206)
Matrix Science MathematicThis article will begin with the claim that Hamilton spent a great deal of time trying to figure out the three-dimensional complex numbers. He was never able to accomplish that.
MSc. Ruslan Pozinkevycha
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Noncommutative complex geometry of the quantum projective space [PDF]
Journal of Geometry and Physics, 2011 We define holomorphic structures on canonical line bundles of the quantum projective space C P q l and identify their space of holomorphic sections. This determines the quantum homogeneous coordinate ring of the quantum projective space. We show that the
Masoud Khalkhali
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Linear syzygies of curves in weighted projective space [PDF]
Compositio Mathematica, 2023 We develop analogues of Green’s $N_p$ conditions for subvarieties of weighted projective space, and we prove that such $N_p$ conditions are satisfied for high degree embeddings of curves in weighted projective space.
Michael K. Brown, D. Erman
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Sheaves of low rank in three-dimensional projective space [PDF]
European Journal of Mathematics, 2021 We classify Chern characters of semistable sheaves up to rank four in three-dimensional projective space. As a corollary we show that moduli spaces of semistable sheaves between rank zero and four with maximal third Chern character are smooth and ...
B. Schmidt
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Aspects of CFTs on real projective space [PDF]
Journal of Physics A: Mathematical and Theoretical, 2020 We present an analytic study of conformal field theories on the real projective space RPd , focusing on the two-point functions of scalar operators. Due to the partially broken conformal symmetry, these are non-trivial functions of a conformal cross ...
S. Giombi, H. Khanchandani, Xi-Nan Zhou
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CoRR, 2022 In some situations, no professional human contact can be available. Accordingly, one remains alone with one's problems and fears. A manned Mars flight is certainly such a situation. A voice assistant that shows empathy and assists the astronauts could be a solution.
Martin Spathelf, Oliver Bendel
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The space of twisted cubics [PDF]
Épijournal de Géométrie Algébrique, 2021 We consider the Cohen-Macaulay compactification of the space of twisted cubics in projective n-space. This compactification is the fine moduli scheme representing the functor of CM-curves with Hilbert polynomial 3t+1. We show that the moduli scheme of CM-
Katharina Heinrich +2 more
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Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space [PDF]
Journal of High Energy Physics, 2019 It has recently been demonstrated that Feynman integrals relevant to a wide range of perturbative quantum field theories involve periods of Calabi-Yau manifolds of arbitrarily large dimension.
J. Bourjaily +5 more
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Game of Sloanes: best known packings in complex projective space [PDF]
Optical Engineering + Applications, 2019 It is often of interest to identify a given number of points in projective space such that the minimum distance between any two points is as large as possible.
J. Jasper, Emily J. King, D. Mixon
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Engineering and Technology Journal, 2009 The purpose of this work is to give some definitions and prove some theorems onprojective 3-space S=PG(3,K) over a field K.Also, the principle of duality in S is given which state that any theorem true in theprojective 3-space concerned with the points ...
Mohammed S.Kirdar, Amal S.Al-Mukhtar
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