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Geometry of two-parametric family of linear line complexes

open access: yesLietuvos Matematikos Rinkinys, 2005
In this article differential geometry of two-parametric family of linear line complexes in the three-dimensional projective space is considered.
Kazimieras Navickis
doaj   +1 more source

Torus actions, Morse homology, and the Hilbert scheme of points on affine space [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2021
We formulate a conjecture on actions of the multiplicative group in motivic homotopy theory. In short, if the multiplicative group G_m acts on a quasi-projective scheme U such that U is attracted as t approaches 0 in G_m to a closed subset Y in U, then ...
Burt Totaro
doaj   +1 more source

On spaces of maps between complex projective spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1984
When 1 ⩽ m ⩽ n 1 \leqslant m \leqslant n , the space M ( P m , P n ) M({P^m},{P^n}) of maps of complex projective m m -space
openaire   +2 more sources

Junctions of mass-deformed nonlinear sigma models on SO(2N)/U(N) and Sp(N)/U(N). Part II

open access: yesJournal of High Energy Physics, 2020
We construct three-pronged junctions of mass-deformed nonlinear sigma models on SO(2N)/U(N) and Sp(N )/U(N ) for generic N. We study the nonlinear sigma models on the Grassmann manifold or on the complex projective space.
Taegyu Kim, Sunyoung Shin
doaj   +1 more source

Projection bodies in complex vector spaces

open access: yesAdvances in Mathematics, 2011
The space of Minkowski valuations on an m-dimensional complex vector space which are continuous, translation invariant and contravariant under the complex special linear group is explicitly described. Each valuation with these properties is shown to satisfy geometric inequalities of Brunn-Minkowski, Aleksandrov-Fenchel and Minkowski type.
Judit Abardia, Andreas Bernig
openaire   +3 more sources

An Information Quantity in Pure State Models

open access: yesEntropy, 2022
When we consider an error model in a quantum computing system, we assume a parametric model where a prepared qubit belongs. Keeping this in mind, we focus on the evaluation of the amount of information we obtain when we know the system belongs to the ...
Fuyuhiko Tanaka
doaj   +1 more source

A Dual of the Chow Transformation

open access: yesComplex Manifolds, 2018
We define a dual of the Chow transformation of currents on the complex projective space. This transformation factorizes a left inverse of the Chow transformation and its composition with the Chow transformation is a right inverse of a linear diferential ...
Méo Michel
doaj   +1 more source

he deformation pseudotensor of connections in cocongruence K (n - m)m

open access: yesДифференциальная геометрия многообразий фигур, 2023
The Grassmann manifold is the set of all -dimensional planes of an -dimensional projective space, with dim. One of the submanifolds of the Grassmann manifold is a complex of -planes if the dimension of the complex exceeds the difference .
O. O. Belova
doaj   +1 more source

Almost complex structures on complex projective spaces [PDF]

open access: yesTransactions of the American Mathematical Society, 1974
In this paper we classify the almost complex structures on a complex projective space as roots of a certain polynomial equation.
openaire   +1 more source

Riemann surfaces in complex projective spaces [PDF]

open access: yesProceedings of the American Mathematical Society, 1972
The complex projective line and the complex quadric are the only compact Riemann surfaces in the complex projective plane with constant scalar normal curvature.
Bang-Yen Chen, Gerald D. Ludden
openaire   +1 more source

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