Lê Cycles and Numbers of Hypersurface Singularities

Massey, David B.

doi:10.1007/978-3-030-78024-1_7

Cited by 4 publications

(3 citation statements)

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“…A closely related construction was provided (independently from Stückrad and Vogel) by Massey in 1986, leading to his definition of Lê cycles ( [68], [69], [70]). The theory and applications of Lê cycles are surveyed in [67]. Massey's definition may be given for analytic functions defined for a nonempty open subset of C n+1 .…”

Section: Lê Cyclesmentioning

confidence: 99%

“…The relation between Segre classes and David Massey's Lê cycles discussed in §5 is the result of joint work with Massey. Lê cycles are the subject of Massey's contribution to this Handbook, [67].…”

Section: Introductionmentioning

confidence: 99%

“…[P n ] − (1 − (d − 1)H) k < n. Equivalently, γ k X = (d − 1) n−k − n−j−k λ j X for 0 ≤ k ≤ n. (Also see[67, Corollary 7.7.3].) With notation as in Corollary 5.7, and for k = 0, .…”

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confidence: 99%

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Segre classes and invariants of singular varieties

Aluffi¹

2021

Preprint

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Segre classes encode essential intersection-theoretic information concerning vector bundles and embeddings of schemes. In this paper we survey a range of applications of Segre classes to the definition and study of invariants of singular spaces. We will focus on several numerical invariants, on different notions of characteristic classes for singular varieties, and on classes of Lê cycles. We precede the main discussion with a review of relevant background notions in algebraic geometry and intersection theory.

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