Singularity exchange at the frontier of the space
Siersma, Dirk ; Tibar, Mihai
HAL, hal-00117644 / Harvested from HAL
Text on HAL
In deformations of polynomial functions one may encounter ``singularity exchange at infinity'' when singular points disappear from the space and produce ``virtual'' singularities which have an influence on the topology of the limit polynomial. We find several rules of this exchange phenomenon, in which the total quantity of singularity turns out to be not conserved in general.
Publié le : 2004-07-05
Classification:  [MATH.MATH-AG]Mathematics [math]/Algebraic Geometry [math.AG],  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] 
@article{hal-00117644,
     author = {Siersma, Dirk and Tibar, Mihai},
     title = {Singularity exchange at the frontier of the space},
     journal = {HAL},
     volume = {2004},
     number = {0},
     year = {2004},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00117644}
}

Siersma, Dirk; Tibar, Mihai. Singularity exchange at the frontier of the space. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00117644/