Alternative algorithms for computing generic μ∗-sequences and local Euler obstructions of isolated hypersurface singularities
2019 ◽
Vol 18
(08)
◽
pp. 1950156
Keyword(s):
A new algorithm is introduced for computing [Formula: see text]-sequences of isolated hypersurface singularities. It is shown that the new algorithm results in better performance, compared to our previous algorithm that utilizes parametric local cohomology systems, in computation speed. Furthermore, it can be used to compute local Euler obstruction of a hypersurface with an isolated singularity. The key idea of the new algorithm is computing standard bases in a local ring over a field of rational functions.
Keyword(s):
2018 ◽
Vol 17
(02)
◽
pp. 1850019
2019 ◽
Vol 18
(12)
◽
pp. 1950238
Keyword(s):
2016 ◽
Vol 15
(04)
◽
pp. 1650070
◽
2015 ◽
Vol 22
(spec01)
◽
pp. 935-946
◽