Birational geometry | Complex surfaces | Algebraic surfaces

Surface of general type

In algebraic geometry, a surface of general type is an algebraic surface with Kodaira dimension 2. Because of Chow's theorem any compact complex manifold of dimension 2 and with Kodaira dimension 2 will actually be an algebraic surface, and in some sense most surfaces are in this class. (Wikipedia).

Surface of general type
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Complex surfaces 4: Ruled surfaces

This talk gives an informal survey of ruled surfaces and their role in the Enriques classification. We give a few examples of ruled surfaces, summarize the basic invariants of surfaces, and sketch how one classifies the surfaces of Kodaira dimension minus infinity.

From playlist Algebraic geometry: extra topics

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Cylindrical Surfaces

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

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Complex surfaces 1: Introduction

This talk is part of a series giving an informal survey of complex algebraic surfaces. We give an overview of the Enriques-Kodaira classification, with examples of most of the different types of surfaces. We conclude by giving an example of a non-algebraic surface: the Hopf surface. Furth

From playlist Algebraic geometry: extra topics

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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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More general surfaces | Differential Geometry 22 | NJ Wildberger

This video follows on from DiffGeom21: An Introduction to surfaces, starting with ruled surfaces. These were studied by Euler, and Monge gave examples of how such surfaces arose from the study of curves, namely as polar developables. A developable surface is a particularly important and us

From playlist Differential Geometry

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An introduction to surfaces | Differential Geometry 21 | NJ Wildberger

We introduce surfaces, which are the main objects of interest in differential geometry. After a brief introduction, we mention the key notion of orientability, and then discuss the division in the subject between algebraic surfaces and parametrized surfaces. It is very important to have a

From playlist Differential Geometry

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Martin Bridson - Subgroups of direct products of surface groups

After reviewing what is known about subgroups of direct products of surface groups and their significance in the story of which groups are Kähler, I shall describe a new construction that provides infinite families of finitely presented subgroups. These subgroups have varying higher-finite

From playlist Geometry in non-positive curvature and Kähler groups

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Complex surfaces 6: Kodaira dimensions 1 and 2

In this lecture we continue the overview of complex projective urfaces by discussing those of Kodaira dimensions 1 and 2. The surfaces of dimension 1 are all elliptic surfaces with a map onto a curve whose fibers are mostly elliptic curves. We describe Kodaira's classification of the poss

From playlist Algebraic geometry: extra topics

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Types of Tissue Part 1: Epithelial Tissue

When learning about the structure of the human body, it's best to begin by learning about the types of tissues that are found within, since all of the organs are made of different combinations of these types of tissues. First up is epithelial tissue, since this makes up the outermost part

From playlist Anatomy & Physiology

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Pierre Py - Complex geometry and higher finiteness properties of groups

Following C.T.C. Wall, we say that a group G is of type if it has a classifying space (a K(G,1)) whose n-skeleton is finite. When n=1 (resp. n=2) one recovers the condition of finite generation (resp. finite presentation). The study of examples of groups which are of type Fn-1 but not of

From playlist Geometry in non-positive curvature and Kähler groups

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Squares represented by a product of three ternary (...) - Harpaz - Workshop 2 - CEB T2 2019

Yonatan Harpaz (Université Paris Nord) / 27.06.2019 Squares represented by a product of three ternary quadratic forms, and a homogeneous variant of a method of Swinnerton-Dyer. Let k be a number field. In this talk we will consider K3 surfaces over k which admit a degree 2 map to the pr

From playlist 2019 - T2 - Reinventing rational points

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Minimal surfaces in R^3 and Maximal surfaces in L^3 (Lecture 3) by Pradip Kumar

ORGANIZERS : C. S. Aravinda and Rukmini Dey DATE & TIME : 16 June 2018 to 25 June 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore This workshop on geometry and topology for lecturers is aimed for participants who are lecturers in universities/institutes and colleges in India. This w

From playlist Geometry and Topology for Lecturers

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Priyam Patel: Mapping class groups of infinite-type surfaces and their actions on hyperbolic graphs

CONFERENCE Recording during the thematic meeting : "Big Mapping Class Group and Diffeomorphism Groups " the October 11, 2022 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mat

From playlist Topology

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Complex surfaces 2: Minimal surfaces

This talk is part of a series about complex surfaces, and explains what minimal surfaces are. A minimial surfaces is one that cannot be obtained by blowing up a nonsingular surfaces at a point. We explain why every surface is birational to a minimal nonsingular projective surface. We disc

From playlist Algebraic geometry: extra topics

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