An interpolation theorem in toric varieties

Martin Weimann[1]

  • [1] 22 rue Jean Prévost 38000 Grenoble (France)

Annales de l’institut Fourier (2008)

  • Volume: 58, Issue: 4, page 1371-1381
  • ISSN: 0373-0956

Abstract

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In the spirit of a theorem of Wood, we give necessary and sufficient conditions for a family of germs of analytic hypersurfaces in a smooth projective toric variety X to be interpolated by an algebraic hypersurface with a fixed class in the Picard group of X .

How to cite

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Weimann, Martin. "An interpolation theorem in toric varieties." Annales de l’institut Fourier 58.4 (2008): 1371-1381. <http://eudml.org/doc/10351>.

@article{Weimann2008,
abstract = {In the spirit of a theorem of Wood, we give necessary and sufficient conditions for a family of germs of analytic hypersurfaces in a smooth projective toric variety $X$ to be interpolated by an algebraic hypersurface with a fixed class in the Picard group of $X$.},
affiliation = {22 rue Jean Prévost 38000 Grenoble (France)},
author = {Weimann, Martin},
journal = {Annales de l’institut Fourier},
keywords = {Toric varieties; interpolation; trace; residues; resultants; toric varieties; interpolations; traces},
language = {eng},
number = {4},
pages = {1371-1381},
publisher = {Association des Annales de l’institut Fourier},
title = {An interpolation theorem in toric varieties},
url = {http://eudml.org/doc/10351},
volume = {58},
year = {2008},
}

TY - JOUR
AU - Weimann, Martin
TI - An interpolation theorem in toric varieties
JO - Annales de l’institut Fourier
PY - 2008
PB - Association des Annales de l’institut Fourier
VL - 58
IS - 4
SP - 1371
EP - 1381
AB - In the spirit of a theorem of Wood, we give necessary and sufficient conditions for a family of germs of analytic hypersurfaces in a smooth projective toric variety $X$ to be interpolated by an algebraic hypersurface with a fixed class in the Picard group of $X$.
LA - eng
KW - Toric varieties; interpolation; trace; residues; resultants; toric varieties; interpolations; traces
UR - http://eudml.org/doc/10351
ER -

References

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