Non-embeddable 1 -convex manifolds

Jan Stevens[1]

  • [1] Matematiska vetenskaper Göteborgs universitet och Chalmers tekniska högskola 41296 Göteborg (Sweden)

Annales de l’institut Fourier (2014)

  • Volume: 64, Issue: 5, page 2205-2222
  • ISSN: 0373-0956

Abstract

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We show that every small resolution of a 3-dimensional terminal hypersurface singularity can occur on a non-embeddable 1 -convex manifold.We give an explicit example of a non-embeddable manifold containing an irreducible exceptional rational curve with normal bundle of type ( 1 , - 3 ) . To this end we study small resolutions of c D 4 -singularities.

How to cite

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Stevens, Jan. "Non-embeddable $1$-convex manifolds." Annales de l’institut Fourier 64.5 (2014): 2205-2222. <http://eudml.org/doc/275533>.

@article{Stevens2014,
abstract = {We show that every small resolution of a 3-dimensional terminal hypersurface singularity can occur on a non-embeddable $1$-convex manifold.We give an explicit example of a non-embeddable manifold containing an irreducible exceptional rational curve with normal bundle of type $(1,-3)$. To this end we study small resolutions of $cD_4$-singularities.},
affiliation = {Matematiska vetenskaper Göteborgs universitet och Chalmers tekniska högskola 41296 Göteborg (Sweden)},
author = {Stevens, Jan},
journal = {Annales de l’institut Fourier},
keywords = {1-convex manifolds; small resolutions; strongly pseudoconvex manifold},
language = {eng},
number = {5},
pages = {2205-2222},
publisher = {Association des Annales de l’institut Fourier},
title = {Non-embeddable $1$-convex manifolds},
url = {http://eudml.org/doc/275533},
volume = {64},
year = {2014},
}

TY - JOUR
AU - Stevens, Jan
TI - Non-embeddable $1$-convex manifolds
JO - Annales de l’institut Fourier
PY - 2014
PB - Association des Annales de l’institut Fourier
VL - 64
IS - 5
SP - 2205
EP - 2222
AB - We show that every small resolution of a 3-dimensional terminal hypersurface singularity can occur on a non-embeddable $1$-convex manifold.We give an explicit example of a non-embeddable manifold containing an irreducible exceptional rational curve with normal bundle of type $(1,-3)$. To this end we study small resolutions of $cD_4$-singularities.
LA - eng
KW - 1-convex manifolds; small resolutions; strongly pseudoconvex manifold
UR - http://eudml.org/doc/275533
ER -

References

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