Smoothing of rational m-ropes

Edoardo Ballico; Elizabeth Gasparim; Thomas Köppe

Open Mathematics (2009)

  • Volume: 7, Issue: 4, page 623-628
  • ISSN: 2391-5455

Abstract

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In a recent paper, Gallego, González and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof, and obtain smoothability of rational m-ropes for m ≥ 3.

How to cite

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Edoardo Ballico, Elizabeth Gasparim, and Thomas Köppe. "Smoothing of rational m-ropes." Open Mathematics 7.4 (2009): 623-628. <http://eudml.org/doc/269488>.

@article{EdoardoBallico2009,
abstract = {In a recent paper, Gallego, González and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof, and obtain smoothability of rational m-ropes for m ≥ 3.},
author = {Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe},
journal = {Open Mathematics},
keywords = {Ropes; Non-reduced schemes; Smoothing; ropes; non-reduced schemes; smoothing},
language = {eng},
number = {4},
pages = {623-628},
title = {Smoothing of rational m-ropes},
url = {http://eudml.org/doc/269488},
volume = {7},
year = {2009},
}

TY - JOUR
AU - Edoardo Ballico
AU - Elizabeth Gasparim
AU - Thomas Köppe
TI - Smoothing of rational m-ropes
JO - Open Mathematics
PY - 2009
VL - 7
IS - 4
SP - 623
EP - 628
AB - In a recent paper, Gallego, González and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof, and obtain smoothability of rational m-ropes for m ≥ 3.
LA - eng
KW - Ropes; Non-reduced schemes; Smoothing; ropes; non-reduced schemes; smoothing
UR - http://eudml.org/doc/269488
ER -

References

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  9. [9] Gallego F.J., González M., Purnaprajna B.P., Deformation of finite morphisms and smoothing of ropes, Compos. Math., 2008, 144(3), 673–688 http://dx.doi.org/10.1112/S0010437X07003326[WoS][Crossref] Zbl1146.14017
  10. [10] González M., Smoothing of ribbons over curves, J. Reine Angew. Math., 2006, 591, 201–213 Zbl1094.14016
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