The punctual Hilbert schemes for the curve singularities of types E_6 and E_8
Journal of Singularities, Tome 8 (2014), pp. 135-145
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The aim of the present paper is to study the structure of the punctual Hilbert schemes for the curve singularities of types E_6 and E_8. Our analysis uses computational methods to decompose a punctual Hilbert scheme into affine cells. We also use known results about the compactified Jacobians of singular curves.
@article{10_5427_jsing_2014_8j,
author = {Yoshiki S\={o}ma and Masahiro Watari},
title = {The punctual {Hilbert} schemes for the curve singularities of types {E_6} and {E_8}},
journal = {Journal of Singularities},
pages = {135--145},
publisher = {mathdoc},
volume = {8},
year = {2014},
doi = {10.5427/jsing.2014.8j},
url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.8j/}
}
TY - JOUR AU - Yoshiki Sōma AU - Masahiro Watari TI - The punctual Hilbert schemes for the curve singularities of types E_6 and E_8 JO - Journal of Singularities PY - 2014 SP - 135 EP - 145 VL - 8 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.8j/ DO - 10.5427/jsing.2014.8j ID - 10_5427_jsing_2014_8j ER -
%0 Journal Article %A Yoshiki Sōma %A Masahiro Watari %T The punctual Hilbert schemes for the curve singularities of types E_6 and E_8 %J Journal of Singularities %D 2014 %P 135-145 %V 8 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.5427/jsing.2014.8j/ %R 10.5427/jsing.2014.8j %F 10_5427_jsing_2014_8j
Yoshiki Sōma; Masahiro Watari. The punctual Hilbert schemes for the curve singularities of types E_6 and E_8. Journal of Singularities, Tome 8 (2014), pp. 135-145. doi: 10.5427/jsing.2014.8j
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