On the index of a holomorphic 1-form on an isolated complete intersection singularity

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Wolfgang Ebeling
  • Sabir M. Gusein-Zade

Organisationseinheiten

Externe Organisationen

  • Lomonosov Moscow State University
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Details

OriginalspracheEnglisch
Seiten (von - bis)458-462
Seitenumfang5
FachzeitschriftDoklady Akademii Nauk
Jahrgang380
Ausgabenummer4
PublikationsstatusVeröffentlicht - 2001

Abstract

The authors introduce an index of a holomorphic 1-form on an isolated complete intersection singular point as the degree of a certain map, and give (without proof) an algebraic formula for the index, which expresses it as the codimension of some ideal in the ring of germs of holomorphic functions at the given singular point. For the case of an exact 1-form the formula was found by G.-M. Greuel [Math. Ann. 214, 235–266 (1975; Zbl 0285.14002)].

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On the index of a holomorphic 1-form on an isolated complete intersection singularity. / Ebeling, Wolfgang; Gusein-Zade, Sabir M.
in: Doklady Akademii Nauk, Jahrgang 380, Nr. 4, 2001, S. 458-462.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Ebeling, W & Gusein-Zade, SM 2001, 'On the index of a holomorphic 1-form on an isolated complete intersection singularity', Doklady Akademii Nauk, Jg. 380, Nr. 4, S. 458-462.
Ebeling, W., & Gusein-Zade, S. M. (2001). On the index of a holomorphic 1-form on an isolated complete intersection singularity. Doklady Akademii Nauk, 380(4), 458-462.
Ebeling W, Gusein-Zade SM. On the index of a holomorphic 1-form on an isolated complete intersection singularity. Doklady Akademii Nauk. 2001;380(4):458-462.
Ebeling, Wolfgang ; Gusein-Zade, Sabir M. / On the index of a holomorphic 1-form on an isolated complete intersection singularity. in: Doklady Akademii Nauk. 2001 ; Jahrgang 380, Nr. 4. S. 458-462.
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