Results 11 to 20 of about 1,750 (261)
Correspondences between convex geometry and complex geometry [PDF]
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
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A class of projective planes [PDF]
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 ...
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Chern Classes of Projective Modules [PDF]
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.
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On m-ω1-pω+n-Projective Abelian p-Groups
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
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Bundles over Quantum RealWeighted Projective Spaces
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
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Polar classes and Segre classes on singular projective varieties [PDF]
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.
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The role of w-tilting modules in relative Gorenstein (co)homology
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
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On variations of m, n-totally projective Abelian p-groups [PDF]
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
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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
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Miyaoka–Yau inequalities and the topological characterization of certain klt varieties
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
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