On generalized Kummer of rank 3 vector bundles over a genus 2 curve
Le Matematiche, 2003 Let X be a smooth projective complex curve and let U_X (r, d) be the moduli space of semi-stable vector bundles of rank r and degree d on X (see [8]).
Alessandra Bernardi, Damiano Fulghesu
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Non-Lorentzian M5-brane theories from holography
Journal of High Energy Physics, 2019 M-theory on AdS 7 × S 4 admits a description where the AdS 7 factor is constructed as a timelike Hopf fibration over a non-compact three dimensional complex projective space ℂℙ ˜ 3 $$ {\tilde{\mathrm{\mathbb{CP}}}}^3 $$ [1].
N. Lambert, A. Lipstein, P. Richmond
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Braid groups in complex projective spaces [PDF]
arXiv, 2010 We describe the fundamental groups of ordered and unordered k point sets in complex projective space of dimension n generating a projective subspace of dimension i. We apply these to study connectivity of more complicated configurations of points.
arxiv
Complex Hadamard Matrices contained in a Bose–Mesner algebra
Special Matrices, 2015 Acomplex Hadamard matrix is a square matrix H with complex entries of absolute value 1 satisfying HH* = nI, where * stands for the Hermitian transpose and I is the identity matrix of order n.
Ikuta Takuya, Munemasa Akihiro
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An explicit expression of generating function for one-loop tensor reduction
Journal of High Energy PhysicsThis work introduces an explicit expression for the generating function for the reduction of an n-gon to an (n – k)-gon. A novel recursive relation of generating function is formulated based on Feynman Parametrization in projective space, involving a ...
Chang Hu +3 more
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Continuation of CR-Automorphisms of Levi Degenerate Hyperquadrics to the Projective Space [PDF]
arXiv, 2009 We show that every CR-automorphism of the closure of a Levi degenerate hyperquadric in the projective space extends to a holomorphic automorphism of the projective space.
arxiv
On the rank and curvature of non-singular complex hypersurfaces in a complex projective space* [PDF]
, 1969 Katsumi Nomizu
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Purity and hybridness of two tensors on a real hypersurface in complex projective space
Open MathematicsOn a real hypersurface MM in complex projective space, we can define two tensor fields of type (1, 2), AF(k){A}_{F}^{\left(k)} and AT(k){A}_{T}^{\left(k)}, associated with the shape operator AA of the real hypersurface, for any nonnull real number kk ...
Pérez Juan de Dios, Pérez-López David
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A Classification of Compact Cohomogeneity One Locally Conformal Kähler Manifolds
MathematicsIn this paper, we apply a result of the classification of a compact cohomogeneity one Riemannian manifold with a compact Lie group G to obtain a classification of compact cohomogeneity one locally conformal Kähler manifolds.
Daniel Guan
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Complex submanifolds of the complex projective space with second fundamental form of constant length [PDF]
, 1969 Koichi Ogiue
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