Verdier–Riemann–Roch for Chern class and Milnor class
Verdier–Riemann–Roch for Chern class and Milnor class
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Chern 级和 Milnor 级的 Verdier–Riemann–Roch
DOI：
10.4310/ajm.2002.v6.n1.a1
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发表时间：
2002
影响因子：
0.6
通讯作者：
Shoji Yokura
中科院分区：
文献类型：
--
作者：
Shoji Yokura
满足正规化条件T（OX）= td（TX）fl [X]，其中Ox为结构层，td（TX）为切丛TX的全托德类.这是两个理论KQ和HQ的协变方面。至于这两个理论的逆变方面，我们有Verdier-Riemann-Roch，它在[BFM]中被证明，并由J. L. Verdier [V，Theorem 18.2（3），p.349]，即，下面是局部完全交态射f：X -> Y：的交换图。
satisfying the normalization condition that T(OX) = td{TX) fl [X] for a non-singular variety X with Ox the structure sheaf and td(TX) the total Todd class of the tangent bundle TX. This is a covariant aspect of the two theories KQ and HQ. As to the contravariant aspect of these two theories, we have the Verdier-Riemann-Roch, which was conjectured in [BFM] and proved affirmatively by J.-L. Verdier [V, Theorem 18.2 (3), p. 349], i.e., the following commutative diagram for a local complete intersection morphism f : X —> Y: .