Complex surfaces | Algebraic surfaces

Sarti surface

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).

Sarti surface
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Parametric surfaces

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

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Linear Desface

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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

Related pages

Algebraic geometry | Nodal surface