All weak contact conics to irreducible quartics with two nodes and one cusp are classified via integral sections of canonically associated rational elliptic surfaces, yielding Zariski pairs of degrees 7 and 8.
Horikawa: On deformation of quintic surfaces
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AG 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Geometry of weak contact conics to irreducible quartics with 2 nodes and 1 cusp via rational elliptic surfaces and Zariski pairs
All weak contact conics to irreducible quartics with two nodes and one cusp are classified via integral sections of canonically associated rational elliptic surfaces, yielding Zariski pairs of degrees 7 and 8.