Complex surfaces | Algebraic surfaces
In algebraic geometry, a Sarti surface is a degree-12 nodal surface with 600 nodes, found by Alessandra Sarti. The maximal possible number of nodes of a degree-12 surface is not known (as of 2015), though Yoichi Miyaoka showed that it is at most 645. Sarti has also found sextic, octic and dodectic nodal surfaces with high numbers of nodes and high degrees of symmetry. * Sextic with 48 node * Sextic with 48 node * Octic with 72 nodes * Octic with 144 nodes * Dodectic surface with 360 nodes * 3D model of Sarti surface (Wikipedia).
Parametric Surfaces In this video, I give 5 examples of how to parametrize surfaces. This is similar to parametrizing a curve, except that this time you need two variables. This is an important tool for surface integrals, which is a way of integrating a function on a surface. Parametriza
From playlist Vector Calculus
Here we show a quick way to set up a face in desmos using domain and range restrictions along with sliders. @shaunteaches
From playlist desmos
MATH331: Riemann Surfaces - part 1
We define what a Riemann Surface is. We show that PP^1 is a Riemann surface an then interpret our crazy looking conditions from a previous video about "holomorphicity at infinity" as coming from the definition of a Riemann Surface.
From playlist The Riemann Sphere
Moiré patterns on a hyperboloid of one sheet
This shows a 3d print I produced using shapeways.com. This model is available at http://shpws.me/mYop. A selection of smaller example multivariable calculus surfaces is available at http://shpws.me/mNDp.
From playlist 3D printing
From playlist Surface integrals
Alessandra Sarti, Old and new on the symmetry groups of K3 surfaces
VaNTAGe Seminar, Feb 9, 2021
From playlist Arithmetic of K3 Surfaces
Introduction to Quadric Surfaces
http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
From playlist Surface integrals
What are the basic characteristics of a parabola for conic sections
Learn all about parabolas in conic sections. We will discover the basic definitions such as the vertex, focus, directrix, and axis of symmetry. We will also take a look a basic processes such as graphing, writing the equation and identifying a parabolas parts when given an equation in sta
From playlist Learn all about Parabolas #Conics
DevOpsDays Seattle 2017: Sharing : What's In It For Me!? by Glenn Sarti
Sharing : What's In It For Me!? by Glenn Sarti Sharing. It's one of the four pillars of CAMS. We consume so much shared content but have we ever thought about sharing from the point of view of the Sharer? Why should I share? If I'm constantly sharing information what do I get out of it? W
From playlist DevOpsDays Seattle 2017
Alessandra Sarti: Topics on K3 surfaces - Lecture 2: Kummer surfaces
Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space. The name K3 was given by André Weil in 1958 in hono
From playlist Algebraic and Complex Geometry
Alessandra Sarti : Automorphisms of Hyperkähler manifolds - Part 2
Abstract: In the 80's Beauville generalized several foundational results of Nikulin on automorphism groups of K3 surfaces to hyperkähler manifolds. Since then the study of automorphism groups of hyperkähler manifolds and in particular of hyperkähler fourfolds got very much attention. I wil
From playlist Algebraic and Complex Geometry
Alessandra Sarti: Automorphisms of Hyperkähler manifolds - Part 3
Abstract: In the 80's Beauville generalized several foundational results of Nikulin on automorphism groups of K3 surfaces to hyperkähler manifolds. Since then the study of automorphism groups of hyperkähler manifolds and in particular of hyperkähler fourfolds got very much attention. I wil
From playlist Algebraic and Complex Geometry
Beyond Pester 101: Applying testing principles to PowerShell by Glenn Sarti
Beyond Pester 101: Applying testing principles to PowerShell by Glenn Sarti We see a lot talks on testing PowerShell with Pester, but are the tests we write good tests? What makes a test "good"? How do we measure how effective our tests are? This talk will help you answer these questions,
From playlist PowerShell + DevOps Global Summit 2018
Alessandra Sarti : Automorphisms of Hyperkähler manifolds - Part 1
Abstract: In the 80's Beauville generalized several foundational results of Nikulin on automorphism groups of K3 surfaces to hyperkähler manifolds. Since then the study of automorphism groups of hyperkähler manifolds and in particular of hyperkähler fourfolds got very much attention. I wil
From playlist Algebraic and Complex Geometry
Alessandra Sarti: Topics on K3 surfaces - Lecture 1: K3 surfaces in the Enriques Kodaira...
Lecture 1: K3 surfaces in the Enriques Kodaira classification and examples Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex
From playlist Algebraic and Complex Geometry
Alessandra Sarti: Topics on K3 surfaces - Lecture 4: Nèron-Severi group and automorphisms
Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space. The name K3 was given by André Weil in 1958 in hono
From playlist Algebraic and Complex Geometry
From playlist Surface integrals
Alessandra Sarti: Topics on K3 surfaces - Lecture 3: Basic properties of K3 surfaces
Abstract: Aim of the lecture is to give an introduction to K3 surfaces, that are special algebraic surfaces with an extremely rich geometry. The most easy example of such a surface is the Fermat quartic in complex three-dimensional space. The name K3 was given by André Weil in 1958 in hono
From playlist Algebraic and Complex Geometry