Journal of Singularities
volume 8 (2014), 135-145
Received: 8 October 2013. Received in revised form: 29 October 2014.
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.
punctual Hilbert schemes, curve singularities of types E_6 and E_8, compactified Jacobians of singular curves
Mathematical Subject Classification:
|Yoshiki Sōma||Masahiro Watari|
|Chōfu Minami Metropolitan High School||Department of Integrated Arts and Science|
|6-2-1 Tamagawa||Okinawa National College of Technology|
|Chōfushi Tokyo 182-0025 Japan||905 Aza Henoko|
|Nago Okinawa 905-2192 Japan|