Results 41 to 50 of about 8,655,830 (348)

Birational geometry of hypersurfaces in products of projective spaces [PDF]

Mathematische Zeitschrift, 2013
We study the birational properties of hypersurfaces in products of projective spaces. In the case of hypersurfaces in Pm×Pn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage ...
J. C. Ottem
semanticscholar   +1 more source

Miyaoka–Yau inequalities and the topological characterization of certain klt varieties

Comptes Rendus. Mathématique
Ball quotients, hyperelliptic varieties, and projective spaces are characterized by their Chern classes, as the varieties where the Miyaoka–Yau inequality becomes an equality.
Greb, Daniel, Kebekus, Stefan, Peternell, Thomas   +2 more
doaj   +1 more source

Projective tensor products of approximation spaces associated with positive operators

Researches in Mathematics
In this paper the projective tensor products of approximation spaces associated with positive operators in Banach spaces are characterized. We show that the tensor products of approximation spaces can be considered as the interpolation spaces generated ...
M.I. Dmytryshyn, L.I. Dmytryshyn
doaj   +1 more source

GIT quotients of projective spaces [PDF]

, 2008
We study the quotients for the diagonal action of SL3(C) on the product of n-fold of P^2(C): we are interested in describing how the quotient changes when we vary the polarization (i.e. the choice of an ample linearized line bundle).
Incensi, Francesca
core   +1 more source

The projective space

Duke Mathematical Journal, 1950
The most striking feature of projective geometry is the principle of duality: If in a proposition about the projective space (the projective plane) we interchange points and planes (points and lines) we obtain a valid proposition. It thus seems natural to ask for a self-dual foundation of the theories in the sense that for every postulate the above ...
openaire   +2 more sources

Images of Rational Maps of Projective Spaces [PDF]

, 2013
Consider a rational map from a projective space to a product of projective spaces, induced by a collection of linear projections. Motivated by the the theory of limit linear series and Abel-Jacobi maps, we study the basic properties of the closure of the
Binglin Li
semanticscholar   +1 more source

Supergeometry of $\Pi$-Projective Spaces [PDF]

, 2017
In this paper we prove that $\Pi$-projective spaces $\mathbb{P}^n_\Pi$ arise naturally in supergeometry upon considering a non-projected thickening of $\mathbb{P}^n$ related to the cotangent sheaf $\Omega^1_{\mathbb{P}^n}$.
Noja, Simone
core   +2 more sources

Optimal simplices and codes in projective spaces [PDF]

, 2013
We find many tight codes in compact spaces, i.e., optimal codes whose optimality follows from linear programming bounds. In particular, we show the existence (and abundance) of several hitherto unknown families of simplices in quaternionic projective ...
Henry Cohn, Abhinav Kumar, Gregory T. Minton   +2 more
semanticscholar   +1 more source

On the varieties of the second row of the split Freudenthal-Tits Magic Square [PDF]

, 2016
Our main aim is to provide a uniform geometric characterization of the analogues over arbitrary fields of the four complex Severi varieties, i.e.~the quadric Veronese varieties in 5-dimensional projective spaces, the Segre varieties in 8-di\-men\-sional ...
Schillewaert, Jeroen, Van Maldeghem, Hendrik   +1 more
core   +4 more sources

Transversely product singularities of foliations in projective spaces

Comptes Rendus. Mathématique, 2023
We prove that a transversely product component of the singular set of a holomorphic foliation on $\mathbb{P}^n$ is necessarily a Kupka component.
Rosas, Rudy
doaj   +1 more source