Bitangent of quartic
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 ... Indeed, 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 ...
Bitangent of quartic
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WebDec 8, 2024 · A smooth tropical quartic curve has seven tropical bitangent classes. Their shapes can vary within the same combinatorial type of curve. We study deformations of these shapes and we show that the ... Webthe 28 bitangents of a smooth plane quartic. The odd theta characteristic corre-sponding to a bitangent to a plane quartic is obtained by taking the sum of the two intersection points. Prior to the present work, it was known under some additional genericity hy-potheses on Trop(X), via a case-by-case combinatorial and computational analysis
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. WebA tropical line Λ is bitangent to a smooth tropical plane quartic curve Γ if their intersectionΛ∩Γ hastwocomponentswithstablemultiplicity2,oronecomponentwith ...
WebJSTOR Home WebDec 6, 2016 · In a section of his 1876 treatise Theorie der Abel'schen Functionen vom Geschlecht 3 Weber proved a formula that expresses the bitangents of a non-singular plane quartic in terms of Riemann theta constants (Thetanullwerte). The present note is devoted to a modern presentation of Weber's formula. In the end a connection with the universal …
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WebJun 28, 2015 · Tour Start here for a quick overview of the site Help Center Detailed answers to any questions you might have Meta Discuss the workings and policies of this … importance of public relationWebMar 24, 2024 · The incidence relations of the 28 bitangents of the general quartic curve can be put into a one-to-one correspondence with the vertices of a particular polytope in … literary devices in half hanged maryWebThe topic of bitangents to quartics curves has gained renewed attention recently with the introduction of tropical techniques. As shown in [BLM + 15], every smooth tropical plane quartic admits seven families of bitangent lines.The relation between tropical and algebraic bitangents was later studied in [CJ15, JL16, LM17, Pan15].The goal of the current note is … importance of puja to buddhistsWebNov 16, 2015 · Every smooth tropical plane quartic admits precisely 7 bitangent lines up to equivalence. 4 Smooth tropical plane quartics are not hyperelliptic. As is well known, a smooth algebraic plane quartic curve is never hyperelliptic. In this section, we prove a tropical analogue of this statement. This is a useful result in computing theta ... importance of pugay in arnisWeb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 importance of public sector accountingWebC be a smooth quartic plane curve. A beautiful fact of enumerative algebraic geometry is that any such C has precisely 28 bitangent lines. In fact, much more is true: one can … importance of pulse rateWebFeb 14, 2024 · the tangency points are also real, i.e., if the bitangent to the real quartic curve is totally real or not. Corollary 7.3 shows that for generic plane curves defined … importance of purposive learning