Results 11 to 20 of about 1,750 (261)

Correspondences between convex geometry and complex geometry [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2017
We present several analogies between convex geometry and the theory of holomorphic line bundles on smooth projective varieties or K\"ahler manifolds. We study the relation between positive products and mixed volumes.
Brian Lehmann, Jian Xiao
doaj   +1 more source

A class of projective planes [PDF]

open access: yesTransactions of the American Mathematical Society, 1965
1. Introduction. Finite non-Desarguesian projective planes have been known for all orders pf, where p is prime, n _ 2, and pn_ 9, except when p = 2 and n is a prime ? 5. In this paper a new class of projective planes is defined, having the orders 2n where n > 5 is not a power of two, thus establishing, in particular, the existence of non-Desarguesian ...
openaire   +2 more sources

Chern Classes of Projective Modules [PDF]

open access: yesNagoya Mathematical Journal, 1963
In topology, one can define in several ways the Chern class of a vector bundle over a certain topological space (Chern [2], Hirzebruch [7], Milnor [9], Steenrod [15]). In algebraic geometry, Grothendieck has defined the Chern class of a vector bundle over a non-singular variety.
openaire   +3 more sources

On m-ω1-pω+n-Projective Abelian p-Groups

open access: yesDemonstratio Mathematica, 2014
For any non-negative integers m and n, we define the classes of m-ω1-pω+n- projective groups and strongly m-ω1-pω+n-projective groups, which properly encompass the classes of ω1-pω+n-projectives introduced by Keef in J. Algebra Numb. Th. Acad. (2010) and
Danchev Peter
doaj   +1 more source

Bundles over Quantum RealWeighted Projective Spaces

open access: yesAxioms, 2012
The algebraic approach to bundles in non-commutative geometry and the definition of quantum real weighted projective spaces are reviewed. Principal U(1)-bundles over quantum real weighted projective spaces are constructed.
Tomasz Brzeziński, Simon A. Fairfax
doaj   +1 more source

Polar classes and Segre classes on singular projective varieties [PDF]

open access: yesTransactions of the American Mathematical Society, 1986
We investigate the relation between polar classes of complex varieties and the Segre class of K K . Johnson [Jo]. Results are obtained for hypersurfaces of projective spaces and for certain varieties with isolated singularities.
openaire   +2 more sources

The role of w-tilting modules in relative Gorenstein (co)homology

open access: yesOpen Mathematics, 2021
Let RR be a ring, CC be a left RR-module and S=EndR(C)S={{\rm{End}}}_{R}\left(C). When CC is semidualizing, the Auslander class AC(S){{\mathcal{A}}}_{C}\left(S) and the Bass class ℬC(R){{\mathcal{ {\mathcal B} }}}_{C}\left(R) associated with CC have been
Bennis Driss   +3 more
doaj   +1 more source

On variations of m, n-totally projective Abelian p-groups [PDF]

open access: yesMathematica Moravica, 2014
We define some new classes of p-torsion Abelian groups which are closely related to the definitions of n-totally projective, strongly n-totally projective and m, n-totally projective groups introduced by P. Keef and P. Danchev in J. Korean Math.
Danchev Peter
doaj  

Function-based hybrid synchronization types and their coexistence in non-identical fractional-order chaotic systems

open access: yesAdvances in Difference Equations, 2018
This paper presents new results related to the coexistence of function-based hybrid synchronization types between non-identical incommensurate fractional-order systems characterized by different dimensions and orders.
Adel Ouannas   +4 more
doaj   +1 more source

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

open access: yesComptes 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   +2 more
doaj   +1 more source

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