The local Euler obstruction and topology of the stabilization of associated determinantal varieties | Zendy

Terence Gaffney | Zendy; Nivaldo G. Grulha | Zendy; María Aparecida Soares Ruas | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

The local Euler obstruction and topology of the stabilization of associated determinantal varieties

Author(s) -

Terence Gaffney,

Nivaldo G. Grulha,

María Aparecida Soares Ruas

Publication year - 2018

Publication title -

mathematische zeitschrift

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.38

H-Index - 66

eISSN - 1432-1823

pISSN - 0025-5874

DOI - 10.1007/s00209-018-2141-y

Subject(s) - mathematics , euler characteristic , euler's formula , topology (electrical circuits) , pure mathematics , combinatorics , mathematical analysis

This work has two complementary parts, in the first part we compute the local Euler obstruction of generic determinantal varieties and apply this result to compute the Chern–Schwartz–MacPherson class of such varieties. In the second part we compute the Euler characteristic of the stabilization of an essentially isolated determinantal singularity (EIDS). The formula is given in terms of the local Euler obstruction and Gaffney’s \(m_{d}\) multiplicity.

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research