Web1 day ago · The tropical bitangent classes to a smooth tropical quartic curve Γ are the connected components in R 2 consisting of all the vertices of tropical bitangents in the … WebJun 1, 2011 · A smooth quartic curve in the complex projective plane has 36 inequivalent representations as a symmetric determinant of linear forms and 63 representations as a sum of three squares. These correspond to Cayley octads and Steiner complexes respectively. We present exact algorithms for computing these objects from the 28 bitangents.
algebraic geometry - bitangent of smooth quartic plane …
WebIt is well known [Pl] that a nonsingular plane quartic curve C over an algebraically closed field of characteristic 2 has exactly 28 bitangents. The same is still true if ... in this case, there is a rational bitangent. One may start with a cubic surface with the right Galois operation [EJ15], blow-up a rational point, and use the connection ... flash drive as mountable disk
Visualizing Complex Roots - University of Montana
WebIn the theory of algebraic plane curves, a general quartic plane curve has 28 bitangent lines, lines that are tangent to the curve in two places. These lines exist in the complex … WebMar 24, 2024 · A bitangent is a line that is tangent to a curve at two distinct points. Aa general plane quartic curve has 28 bitangents in the complex projective plane. However, as shown by Plücker (1839), the … WebSuperabundance phenomena in tropical geometry pose a challenge to addressing enumerative geometry questions by combinatorial means [4, 29, 36, 37].For example, smooth tropical plane quartic curves can have infinitely many bitangent tropical lines, as opposed to the count of 28 bitangents to smooth algebraic plane quartic curves over … check cyber essentials status