Real algebraic curves on the quadric ellipsoid

Resumen:

The classification of isotopy types realized by real algebraic curves of a fixed degree in RP2 is a classical subject in which spectacular progress have been achieved since 1970. Nevertheless, except for the case of Hirzebruch surfaces or surfaces of degree at most 3 in RP3, almost nothing is known for a more general ambient surface. This talk will be about the study of isotopy types realized by real algebraic curves of bidegree (d,d) on the quadric ellipsoid, in particular about bidegree (5,5).

Compartir este seminario