WebJun 1, 2011 · The theory of plane quartic curves is a delightful chapter of 19th century mathematics, with contributions by Aronhold, Cayley, Frobenius, Hesse, Klein, Schottky, … 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.
Computing tropical bitangents to smooth quartic curves in
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Web作者：David、A.、Forsyth 译 出版社：电子工业出版社 出版时间：2024-06-00 开本：16开 印刷时间：0000-00-00 页数：732 字数：1370 ISBN：9787121318269 版次：2 ，购买计算机视觉――一种现代方法（第二版）（英文版）等计算机网络相关商品，欢迎您到孔夫子旧书网 An explicit quartic with twenty-eight real bitangents was first given by Plücker As Plücker showed, the number of real bitangents of any quartic must be 28, 16, or a number less than 9. Another quartic with 28 real bitangents can be formed by the locus of centers of ellipses with fixed axis lengths, tangent to two … See more In 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 projective plane, but it is possible to define … See more The Trott curve, another curve with 28 real bitangents, is the set of points (x,y) satisfying the degree four polynomial equation See more 1. ^ See e.g. Gray (1982). 2. ^ Blum & Guinand (1964). 3. ^ Trott (1997). 4. ^ Riemann (1876); Cayley (1879). 5. ^ Manivel (2006). See more The dual curve to a quartic curve has 28 real ordinary double points, dual to the 28 bitangents of the primal curve. The 28 bitangents of a quartic may also be placed in correspondence with symbols of the form See more WebMar 1, 2024 · In this paper we tackle the inverse problem, i.e., the construction of the bitangent matrix starting from the 28 bitangents of the plane quartic, and we provide a … shweta tiwari height and weight