2 citations · 3 across the 4 of their papers we have counts for
5 papers
Corrigendum to the paper "A flexible affine -sextic which is algebraically unrealizable"
S. Fiedler--Le Touzé, S. Orevkov, E. Shustin
We prove the algebraic unrealizability of certain isotopy type of plane affine real algebraic M-sextic which is pseudoholomorphically realizable. This result completes the classifi…
Korchagin's third conjecture
Séverine Fiedler-Le Touzé
We consider the -curves of degree nine with three nests in . After systematic constructions, Korchagin conjectured that at le…
M-curves of degree 9 or 11 with one unique non-empty oval
Séverine Fiedler-Le Touzé
In this note, we consider M-curves of odd degree with real scheme of the form . With help of complex orientations, we prove that for ,…
Totally real pencils of cubics with respect to sextics
Séverine Fiedler-Le Touzé
A real algebraic plane curve is said to be dividing if its real part disconnects its complex part . A pencil of curves is totally real with respect t…
M-curves of degree 9 with three nests
Séverine Fiedler-Le Touzé
The first part of Hilbert's sixteenth problem deals with the classification of the isotopy types realizable by real plane algebraic curves of a given degree . For , the c…