Results 11 to 20 of about 3,692,977 (264)
Serre sequences and Chern classes [PDF]
Journal of Algebra, 1968 John Fogarty, Dock Sang Rim
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Grothendieck classes and Chern classes of hyperplane arrangements [PDF]
International Mathematics Research Notices, 2012 We show that the characteristic polynomial of a hyperplane arrangement can be recovered from the class in the Grothendieck group of varieties of the complement of the arrangement.
Aluffi +26 more
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Chern classes and projective geometry [PDF]
Journal of Differential Geometry, 1972 Classical projective geometry is rich in relations between the extrinsic invariants (e.g., order, double tangents, number of nodes, triple points, •) associated with an algebraic map /: M —• CPN of a projective algebraic manifold M. It has also long been known that these extrinsic invariants may be sometimes used to define birational or intrinsic ...
Kalyan K. Mukherjea
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A geometric interpretation of the Chern classes [PDF]
Transactions of the American Mathematical Society, 1983 Let f ξ : M → B U {f_\xi }: M \to BU be a classifying map of the stable complex bundle ξ \xi over the weakly complex manifold M M .
R. Sivera Villanueva
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On a naturality of Chern-Mather classes [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1999 Let \(X\) denote a possibly singular algebraic variety and \({\mathcal F}(x)\) the group of constructible functions on \(X\). \textit{R. D. MacPherson} [Ann. Math. (2) 100, 423-432 (1974; Zbl 0311.14001)] showed the existence of a unique natural transformation \(C_*:{\mathcal F}\to H_*\) such that for \(X\) nonsingular \(C_*(\mathbf{1}_X)=c(Tx)\cap [X]\
Shoji Yokura
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Profinite Chern classes for group representations [PDF]
Publicacions Matemàtiques, 1983 Let \(\rho\) : \(G\to GL_ n{\mathbb{C}}\) be a complex representation of the discrete group G. There is an obvious action of field automorphisms of \({\mathbb{C}}\) on the vector bundles of the form \(\xi\) (\(\rho)\), and it is our ojective to study the behavior of Chern classes under this action.
Beno Eckmann, Guido Mislin
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On the positivity of the first Chern class of an Ulrich vector bundle [PDF]
Communications in Contemporary Mathematics, 2020 We study the positivity of the first Chern class of a rank [Formula: see text] Ulrich vector bundle [Formula: see text] on a smooth [Formula: see text]-dimensional variety [Formula: see text].
A. Lopez
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Chern Class Inequalities on Polarized Manifolds and Nef Vector Bundles [PDF]
International mathematics research notices, 2020 This article is concerned with Chern class and Chern number inequalities on polarized manifolds and nef vector bundles. For a polarized pair $(M,L)$ with $L$ very ample, our 1st main result is a family of sharp Chern class inequalities.
Ping Li, F. Zheng
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On the Cohomology Chern Classes of the K-Theory Chern Classes [PDF]
Proceedings of the American Mathematical Society, 1970 Let ξ \xi be a vector bundle over a finite complex and γ i ξ {\gamma ^i}\xi its i i th- K K theory Chern class. We first show that \[ c n
Larry Smith, Mi-soo Bae Smith
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