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1 de nov. de 2016 · A nonic surface is one defined by a polynomial equation of degree 9. This image by Juan García Escudero shows a nonic surface called \(Q_9\), which has 220 real ordinary double points: that is, points where it looks like the origin of the cone in 3-dimensional space defined by $$ x^2 + y^2 = z^2 .$$
algebraic geometry presupposing only some familiarity with the theory of algebraic curves or Riemann surfaces. But the goal, as in the lectures, is to understand the Enriques classification of surfaces from the point of view of Mori-theory. In my opininion any serious student in algebraic geometry should be acquainted as soon as possible
Lecture Notes | Topics in Algebraic Geometry: Algebraic Surfaces | Mathematics | MIT OpenCourseWare. The lecture notes were prepared by Kartik Venkatram in collaboration with Professor Kumar. This section provides the lecture notes from the course along with the schedule of lecture topics.
Subject classifications. Geometry. Surfaces. Algebraic Surfaces. An algebraic surface of degree 9. Enneper's minimal surface is an example of a nonic surface.
A nonic surface is one defined by a polynomial equation of degree 9. This image by Juan García Escudero shows a nonic surface called \(Q_9\), which has 220 real ordinary double points : that is, points where it looks like the origin of the cone in 3-dimensional space defined by \(x^2 + y^2 = z^2\).
Theorem 3. A surface of degree n − 1 in Pn is either a rational normal scroll Sa,b or the Veronese surface of degree 4 in P5: this is the minimal possible degree for a nondegenerate surface. Theorem 4. A surface of degree k in Pk is either a del Pezzo surface or a Steiner surface.
About this book. The aim of the present monograph is to give a systematic exposition of the theory of algebraic surfaces emphasizing the interrelations between the various aspects of the theory: algebro-geometric, topological and transcendental.
