Results 21 to 30 of about 8,270,142 (310)
Indecomposable $K_1$ classes on a Surface and Membrane Integrals
Comptes Rendus. Mathématique, 2020 Let $X$ be a projective algebraic surface. We recall the $K$-group $K_{1,\mathrm{ind}}^{(2)}(X)$ of indecomposables and provide evidence that membrane integrals are sufficient to detect these indecomposable classes.
Chen, Xi +2 more
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A method to compute Segre classes of subschemes of projective space [PDF]
, 2011 We present a method to compute the degrees of the Segre classes of a subscheme of complex projective space. The method is based on generic residuation and intersection theory.
David Eklund +2 more
semanticscholar +1 more source
Correspondences between convex geometry and complex geometry [PDF]
Épijournal 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
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Horrocks Correspondence on a Quadric Surface [PDF]
, 2013 We extend the Horrocks correspondence between vector bundles and cohomology modules on the projective plane to the product of two projective lines.
Malaspina, F., Rao, A. P.
core +1 more source
A class of projective planes [PDF]
Transactions 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 ...
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Characteristic classes of symmetric products of complex quasi-projective varieties [PDF]
, 2010 We prove generating series formulae for suitable twisted characteristic classes of symmetric products of a singular complex quasi-projective variety. More concretely, we study homology Hirzebruch classes for motivic coefficients, as well as for complexes
S. Cappell +4 more
semanticscholar +1 more source
Chern Classes of Projective Modules [PDF]
Nagoya 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.
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On m-ω1-pω+n-Projective Abelian p-Groups
Demonstratio 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
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Polar classes and Segre classes on singular projective varieties [PDF]
Transactions 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.
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Torsion cohomology classes and algebraic cycles on complex projective manifolds [PDF]
, 2004 Atiyah and Hirzebruch gave examples of even degree torsion classes in the singular cohomology of a smooth complex projective manifold, which are not Poincare dual to an algebraic cycle.
C. Soulé, C. Voisin
semanticscholar +1 more source