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Chern Classes and Extraspecial Groups
, 1995
"... The modp cohomology ring of the extraspecial pgroup of exponent p is studied for odd p. We investigate the subquotient ch(G) generated by Chern classes modulo the nilradical. The subring of ch(G) generated by Chern classes of onedimensional representations was studied by Tezuka and Yagita. The ..."
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The modp cohomology ring of the extraspecial pgroup of exponent p is studied for odd p. We investigate the subquotient ch(G) generated by Chern classes modulo the nilradical. The subring of ch(G) generated by Chern classes of onedimensional representations was studied by Tezuka and Yagita
Chern classes for singular hypersurfaces
 TRANS. AMER. MATH. SOC
, 1999
"... We prove a formula expressing the ChernSchwartzMacPherson class of a hypersurface in a nonsingular variety as a variation on another definition of the homology Chern class of singular varieties, introduced by W. Fulton; and we discuss the relation between these classes and others, such as Mather’ ..."
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Cited by 13 (1 self)
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We prove a formula expressing the ChernSchwartzMacPherson class of a hypersurface in a nonsingular variety as a variation on another definition of the homology Chern class of singular varieties, introduced by W. Fulton; and we discuss the relation between these classes and others, such as Mather
CHERN CLASSES OF SPLAYED INTERSECTIONS
"... Abstract. We generalize the Chern class relation for the transversal intersection of two nonsingular varieties to a relation for possibly singular varieties, under a splayedness assumption. The relation is shown to hold for both the Chern– Schwartz–MacPherson class and the Chern–Fulton class. The m ..."
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Abstract. We generalize the Chern class relation for the transversal intersection of two nonsingular varieties to a relation for possibly singular varieties, under a splayedness assumption. The relation is shown to hold for both the Chern– Schwartz–MacPherson class and the Chern–Fulton class
Generalized GinzburgChern Classes
, 2004
"... For a morphism f: X → Y with Y being nonsingular, the GinzburgChern class of a constructible function α on the source variety X is defined to be the ChernSchwartzMacPherson class of the constructible function α followed by capping with the pullback of the Segre class of the target variety Y. In ..."
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For a morphism f: X → Y with Y being nonsingular, the GinzburgChern class of a constructible function α on the source variety X is defined to be the ChernSchwartzMacPherson class of the constructible function α followed by capping with the pullback of the Segre class of the target variety Y
SPLAYED DIVISORS AND THEIR CHERN CLASSES
"... Abstract. We obtain several new characterizations of splayedness for divisors: a Leibniz property for ideals of singularity subschemes, the vanishing of a ‘splayedness’ module, and the requirements that certain natural morphisms of modules and sheaves of logarithmic derivations and logarithmic diffe ..."
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Cited by 3 (2 self)
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differentials be isomorphisms. We also consider the effect of splayedness on the Chern classes of sheaves of differential forms with logarithmic poles along splayed divisors, as well as on the ChernSchwartzMacPherson classes of the complements of these divisors. A postulated relation between these different
SemiBivariant Chern Classes
, 2002
"... The bivariant theory was introduced by W. Fulton and R. MacPherson to unify both covariant and contravariant theories. They posed the problem of unique existence of a bivariant Chern class, i.e., a Grothendieck transformation from the bivariant theory F of constructible functions to the bivariant ho ..."
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The bivariant theory was introduced by W. Fulton and R. MacPherson to unify both covariant and contravariant theories. They posed the problem of unique existence of a bivariant Chern class, i.e., a Grothendieck transformation from the bivariant theory F of constructible functions to the bivariant
CHERN CLASSES OF BLOWUPS
"... Abstract. We extend the classical formula of Porteous for blowingup Chern classes to the case of blowups of possibly singular varieties along regularly embedded centers. The proof of this generalization is perhaps conceptually simpler than the standard argument for the nonsingular case, involving ..."
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Cited by 9 (1 self)
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Abstract. We extend the classical formula of Porteous for blowingup Chern classes to the case of blowups of possibly singular varieties along regularly embedded centers. The proof of this generalization is perhaps conceptually simpler than the standard argument for the nonsingular case, involving
Chern classes and the periods of mirrors.
, 1998
"... Abstract. We show how Chern clases of a Calabi Yau hypersurface in a toric Fano manifold can be expressed in terms of the holomorphic at a maximal degeneracy point period of its mirror. We also consider the relation between the Chern classes and the periods of mirrors for complete intersections in G ..."
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Cited by 1 (0 self)
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Abstract. We show how Chern clases of a Calabi Yau hypersurface in a toric Fano manifold can be expressed in terms of the holomorphic at a maximal degeneracy point period of its mirror. We also consider the relation between the Chern classes and the periods of mirrors for complete intersections
Chern classes on differential Ktheory
, 2009
"... In this note we give a simple, modelindependent construction of Chern classes as natural transformations from differential complex Ktheory to differential integral cohomology. We verify the expected behaviour of these Chern classes with respect ..."
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In this note we give a simple, modelindependent construction of Chern classes as natural transformations from differential complex Ktheory to differential integral cohomology. We verify the expected behaviour of these Chern classes with respect
Stringy Chern classes
"... notion of Euler characteristic (for quotients of a torus by a finite group) which became known as the physicist’s orbifold Euler number. In the 90’s V. Batyrev introduced a notion of stringy Euler number ([Bat99b]) for ‘arbitrary Kawamata logterminal pairs’, proving that this number agrees with the ..."
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that the conventional Euler characteristic of a compact nonsingular complex variety is the degree of the total Chern class of its tangent bundle (Poincaré
Results 1  10
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1,190