On complete intersections

Franc Forstnerič[1]

  • [1] University of Ljubljana, IMFM, Jadranska 19, 1000 Ljubljana (Slovénie)

Annales de l’institut Fourier (2001)

  • Volume: 51, Issue: 2, page 497-512
  • ISSN: 0373-0956

Abstract

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We construct closed complex submanifolds of ℂ n which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of ℂ n .

How to cite

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Forstnerič, Franc. "On complete intersections." Annales de l’institut Fourier 51.2 (2001): 497-512. <http://eudml.org/doc/115923>.

@article{Forstnerič2001,
abstract = {We construct closed complex submanifolds of $\{\mathbb \{C\}^n\}$ which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of $\{\mathbb \{C\}\}^n$.},
affiliation = {University of Ljubljana, IMFM, Jadranska 19, 1000 Ljubljana (Slovénie)},
author = {Forstnerič, Franc},
journal = {Annales de l’institut Fourier},
keywords = {complete intersections; homotopy principle; complete intersection; Stein manifold; Oka-Grauert homotopy principle; proper holomorphic embeddings},
language = {eng},
number = {2},
pages = {497-512},
publisher = {Association des Annales de l'Institut Fourier},
title = {On complete intersections},
url = {http://eudml.org/doc/115923},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Forstnerič, Franc
TI - On complete intersections
JO - Annales de l’institut Fourier
PY - 2001
PB - Association des Annales de l'Institut Fourier
VL - 51
IS - 2
SP - 497
EP - 512
AB - We construct closed complex submanifolds of ${\mathbb {C}^n}$ which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of ${\mathbb {C}}^n$.
LA - eng
KW - complete intersections; homotopy principle; complete intersection; Stein manifold; Oka-Grauert homotopy principle; proper holomorphic embeddings
UR - http://eudml.org/doc/115923
ER -

References

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