Singularity which has no M-smoothing.
Kharlamov, Viatcheslav ; Orevkov, Stepan ; Shustin, Eugenii
HAL, hal-00129575 / Harvested from HAL
Text on HAL
The Harnack bound on the number of real components of a plane real algebraic curve has a natural local version which states that the number of closed real components obtained by a perturbation of a real isolated plane curve singularity having at least one real branch is bounded by the genus of the singularity (perturbations providing this extremal value are called M-smoothings). We show that the latter bound is not sharp for some, explicitly given, singularity.
Publié le : 1998-12-22
Classification:  real singular points,  real ovals,  "real singular points,  Harnack bound,  real ovals",  32S50, 32S15,14P99,  [MATH.MATH-CV]Mathematics [math]/Complex Variables [math.CV] 
@article{hal-00129575,
     author = {Kharlamov, Viatcheslav and Orevkov, Stepan and Shustin, Eugenii},
     title = {Singularity which has no M-smoothing.},
     journal = {HAL},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00129575}
}

Kharlamov, Viatcheslav; Orevkov, Stepan; Shustin, Eugenii. Singularity which has no M-smoothing.. HAL, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/hal-00129575/