✦ LIBER ✦

On a Verdier-type Riemann–Roch for Chern–Schwartz–MacPherson class

✍ Scribed by Shoji Yokura

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 107 KB
Volume: 94
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(98)00037-6

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✦ Synopsis

We show that a Verdier-type Riemann-Roch formula holds for the Chern-Schwartz-MacPherson transformation C * : F → A * in the case of smooth morphisms, but that it does not hold for local complete intersection morphisms in general. And we show that for Euler local complete intersection morphisms there is a reasonable problem and that its very special case turns out to be nothing but the problem of comparing Chern-Schwartz-MacPherson class and Fulton's canonical class, which seems to require a generalization of the Milnor number.