Skip to main content
deleted 33 characters in body
Source Link
Francesco Polizzi
  • 66.3k
  • 5
  • 180
  • 283

Hello,

Here's my question : Let $X$ be a Kähler manifold of dimension $n$, and $Z \subset X$ an analytic subset of codimension $k$. I have read in a paper the following result, a proof of which I cannot find:

$$c_k(\mathcal{I}_Z) = (-1)^k(k-1)![Z]$$$$c_k(\mathscr{I}_Z) = (-1)^k(k-1)![Z]$$

The form of the expression suggests using GRR, but I cannot figure out how. Does anyone know a proof for this (or at least an online reference)?

Thanks.

Does anyone know a proof for this (or at least an online reference)?

Hello,

Here's my question : Let $X$ be a Kähler manifold of dimension $n$, and $Z \subset X$ an analytic subset of codimension $k$. I have read in a paper the following result, a proof of which I cannot find:

$$c_k(\mathcal{I}_Z) = (-1)^k(k-1)![Z]$$

The form of the expression suggests using GRR, but I cannot figure out how. Does anyone know a proof for this (or at least an online reference)?

Thanks.

Let $X$ be a Kähler manifold of dimension $n$, and $Z \subset X$ an analytic subset of codimension $k$. I have read in a paper the following result, a proof of which I cannot find:

$$c_k(\mathscr{I}_Z) = (-1)^k(k-1)![Z]$$

The form of the expression suggests using GRR, but I cannot figure out how.

Does anyone know a proof for this (or at least an online reference)?

deleted 1 characters in body; edited title
Source Link
Francesco Polizzi
  • 66.3k
  • 5
  • 180
  • 283

Chern classes of ideal sheaf of an analytic subetsubset

Hello,

Here's my question : Let $X$ be a Kähler manifold of dimension $n$, and $Z \subset X$ an analytic subset of codimension $k$. I have read in a paper the following result, a proof of which I cannot find:

$$c_k(\mathcal{I}_Z) = (-1)^k(k-1)![Z]$$

The form of the expression suggests using GRR, but I cannot figure out how. Does anyone know a proof for this (or at least an online reference).?

Thanks.

Chern classes of ideal sheaf of an analytic subet

Hello,

Here's my question : Let $X$ be a Kähler manifold of dimension $n$, and $Z \subset X$ an analytic subset of codimension $k$. I have read in a paper the following result, a proof of which I cannot find:

$$c_k(\mathcal{I}_Z) = (-1)^k(k-1)![Z]$$

The form of the expression suggests using GRR, but I cannot figure out how. Does anyone know a proof for this (or at least an online reference).

Thanks.

Chern classes of ideal sheaf of an analytic subset

Hello,

Here's my question : Let $X$ be a Kähler manifold of dimension $n$, and $Z \subset X$ an analytic subset of codimension $k$. I have read in a paper the following result, a proof of which I cannot find:

$$c_k(\mathcal{I}_Z) = (-1)^k(k-1)![Z]$$

The form of the expression suggests using GRR, but I cannot figure out how. Does anyone know a proof for this (or at least an online reference)?

Thanks.

Source Link
Youloush
  • 365
  • 2
  • 7

Chern classes of ideal sheaf of an analytic subet

Hello,

Here's my question : Let $X$ be a Kähler manifold of dimension $n$, and $Z \subset X$ an analytic subset of codimension $k$. I have read in a paper the following result, a proof of which I cannot find:

$$c_k(\mathcal{I}_Z) = (-1)^k(k-1)![Z]$$

The form of the expression suggests using GRR, but I cannot figure out how. Does anyone know a proof for this (or at least an online reference).

Thanks.