Complex surfaces | Algebraic surfaces
In mathematics, a cubic surface is a surface in 3-dimensional space defined by one polynomial equation of degree 3. Cubic surfaces are fundamental examples in algebraic geometry. The theory is simplified by working in projective space rather than affine space, and so cubic surfaces are generally considered in projective 3-space . The theory also becomes more uniform by focusing on surfaces over the complex numbers rather than the real numbers; note that a complex surface has real dimension 4. A simple example is the Fermat cubic surface in . Many properties of cubic surfaces hold more generally for del Pezzo surfaces. (Wikipedia).
This video defines a cylindrical surface and explains how to graph a cylindrical surface. http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
algebraic geometry 33 Rationality of cubic surfaces
This lecture is part of an online algebraic geometry course, based on chapter I of "Algebraic geometry" by Hartshorne. It gives two rather informal and incomplete arguments for why nonsingular cubic surfaces are rational.
From playlist Algebraic geometry I: Varieties
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
Learn how to determine the volume of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Find the volume of a sphere given the circumference
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Introduction to Quadric Surfaces
http://mathispower4u.yolasite.com/
From playlist Quadric, Surfaces, Cylindrical Coordinates and Spherical Coordinates
Finding the volume and surface area of a pyramid with a rectangular base
👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b
From playlist Volume and Surface Area
Finding the volume and the surface area of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
How do you find the volume of a sphere
👉 Learn how to find the volume and the surface area of a sphere. A sphere is a perfectly round 3-dimensional object. It is an object with the shape of a round ball. The distance from the center of a sphere to any point on its surface is called the radius of the sphere. A sphere has a unifo
From playlist Volume and Surface Area
Counting rational points of cubic hypersurfaces - Salberger - Workshop 1 - CEB T2 2019
Per Salberger (Chalmers Univ. of Technology) / 23.05.2019 Counting rational points of cubic hypersurfaces Let N(X;B) be the number of rational points of height at most B on an integral cubic hypersurface X over Q. It is then a central problem in Diophantine geometry to study the asympto
From playlist 2019 - T2 - Reinventing rational points
Hodge theory and derived categories of cubic fourfolds - Richard Thomas
Richard Thomas Imperial College London September 16, 2014 Cubic fourfolds behave in many ways like K3 surfaces. Certain cubics - conjecturally, the ones that are rational - have specific K3s associated to them geometrically. Hassett has studied cubics with K3s associated to them at the le
From playlist Mathematics
Limits of cubic differentials and projective structures by David Dumas
ORGANIZERS Siddhartha Gadgil, Krishnendu Gongopadhyay, Subhojoy Gupta and Mahan Mj DATE & TIME 27 November 2017 to 30 November 2017 VENUE Ramanujan Lecture Hall, ICTS Bangalore The focus of this discussion meeting will be geometric aspects of the representation spaces of surface groups int
From playlist Surface Group Representations and Geometric Structures
Complex surfaces 3: Rational surfaces
We give an informal survey of some complex rational surfaces. We first lift a few examples: hypersurfaces of degree at most 3, and the Hirzebruch surfaces which are P1 bundles over P1. Then we discuss the surfaces obtained by blowing up points in the plane in more detail. We sketch how to
From playlist Algebraic geometry: extra topics
Pierrick Bousseau - The Skein Algebra of the 4-punctured Sphere from Curve Counting
The Kauffman bracket skein algebra is a quantization of the algebra of regular functions on the SL_2 character of a topological surface. I will explain how to realize the skein algebra of the 4-punctured sphere as the output of a mirror symmetry construction based on higher genus Gromov-Wi
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
Kuznetsov's Calabi-Yau - Daniel Huybrechts
Workshop on Homological Mirror Symmetry: Methods and Structures Speaker: Daniel Huybrechts Affiliation: University of Bonn Title: Kuznetsov's Calabi-Yau categories: introduction and applications Date: November 8, 2016 For more video, visit http://video.ias.edu
From playlist Mathematics
Illustrative Mathematics Grade 6 - Unit 1- Lesson 16
Illustrative Mathematics Grade 6 - Unit 1- Lesson 16 Open Up Resources (OUR) If you have any questions, please contact me at dhabecker@gmail.com
From playlist Illustrative Mathematics Grade 6 Unit 1
More on cubic K3 categories - Daniel Huybrechts
Daniel Huybrechts March 10, 2015 Workshop on Chow groups, motives and derived categories More videos on http://video.ias.edu
From playlist Mathematics
Learn how to determine the surface area of a triangular pyramid
👉 Learn how to find the volume and the surface area of a pyramid. A pyramid is a 3-dimensional object having a polygon as its base and triangular surfaces converging at a single point called its apex. A pyramid derives its name from the shape of its base, i.e. a pyramid with a triangular b
From playlist Volume and Surface Area