Some New Quartics
by
Kroacija Kučera
Đure Deželića 79, Zagreb, Croatia

On the authority of V. Nice's geometric quasi-zero function, some new curves of order 4 have been discovered. These curves are all unbounded and disconnected.

The first group of curves possesses 3 singular points in the finiteness, which are 2 nodes and 1 isolated node. The curves from this group seem to be the first known curves of fourth order (quartics) with such a property.

To the second group of curves belong curves with 3 singular points as well: one node and one isolated node in the finiteness and one node in the infiniteness. Each curve of this group has 2 asymptotes.

Any curve from these two described groups has 1 axis of symmetry.

Curves in the third group are all entirely irregular, but have 3 singular points in the finiteness, just like curves from the first group.

Date received: May 10, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caex-81.