In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of curves; the dimension of the linear system corresponds to the number of parameters of the family. These arose first in the form of a linear system of algebraic curves in the projective plane. It assumed a more general form, through gradual generalisation, so that one could speak of linear equivalence of divisors D on a general scheme or even a ringed space (X, OX). Linear system of dimension 1, 2, or 3 are called a pencil, a net, or a web, respectively. A map determined by a linear system is sometimes called the Kodaira map. (Wikipedia).
This lecture is part of an online course on schemes, following chapter II of the book "Algebraic geometry" by Hartshorne. In this lecture we give some examples of linear systems of divisors, which are an older way of visualizing sections of an invertible sheaf by looking at the zeros of
From playlist Algebraic geometry II: Schemes
Definition of a Zero Divisor with Examples of Zero Divisors
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Definition of a Zero Divisor with Examples of Zero Divisors - Examples of zero divisors in Z_m the ring with addition modulo m and multiplication modulo m. Examples are done with Z_8 and Z_4. - Example of a zero divisor with the D
From playlist Abstract Algebra
Polynomial Division (2 of 3: Understanding polynomial remainders)
More resources available at www.misterwootube.com
From playlist Further Polynomials
Intro to Linear Systems: 2 Equations, 2 Unknowns - Dr Chris Tisdell Live Stream
Free ebook http://tinyurl.com/EngMathYT Basic introduction to linear systems. We discuss the case with 2 equations and 2 unknowns. A linear system is a mathematical model of a system based on the use of a linear operator. Linear systems typically exhibit features and properties that ar
From playlist Intro to Linear Systems
Solve Linear Systems of Equations
How to solve linear systems via matrices. We discuss consistent and inconsistent forms and show how to solve.
From playlist Intro to Linear Systems
Determining if a vector is a linear combination of other vectors
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Determining if a vector is a linear combination of other vectors
From playlist Linear Algebra
👉 Learn about graphing linear equations. A linear equation is an equation whose highest exponent on its variable(s) is 1. i.e. linear equations has no exponents on their variables. The graph of a linear equation is a straight line. To graph a linear equation, we identify two values (x-valu
From playlist ⚡️Graph Linear Equations | Learn About
János Kollár - What determines a variety? - WAGON
A scheme X is a topological space---which we denote by |X|---and a sheaf of rings on the open subsets of |X|. We study the following natural but seldom considered questions. How to read off properties of X from |X|? Does |X| alone determine X? Joint work with Max Lieblich, Martin Olsson, a
From playlist WAGON
Theory of numbers: Linear Diophantine equations
This lecture is part of an online undergraduate course on the theory of numbers. We show how to use Euclid's algorithm to solve linear Diophantine equations. As a variation, we discuss the problem of solving equations in non-negative integers. We also show how to solve systems of linear D
From playlist Theory of numbers
Artan Sheshmani : On the proof of S-duality modularity conjecture on quintic threefolds
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Algebraic and Complex Geometry
Linear Algebra: Systems of Linear Equations
Learn the basics of Linear Algebra with this series from the Worldwide Center of Mathematics. Find more math tutoring and lecture videos on our channel or at http://centerofmath.org/
From playlist Basics: Linear Algebra
Geometry Of The Hitchin Integrable Systems, And Some Variations (Lecture 2) by Jacques Hurtubise
PROGRAM : QUANTUM FIELDS, GEOMETRY AND REPRESENTATION THEORY 2021 (ONLINE) ORGANIZERS : Aswin Balasubramanian (Rutgers University, USA), Indranil Biswas (TIFR, india), Jacques Distler (The University of Texas at Austin, USA), Chris Elliott (University of Massachusetts, USA) and Pranav Pan
From playlist Quantum Fields, Geometry and Representation Theory 2021 (ONLINE)
Connecting tropical intersection theory with polytope algebra in types A and B by Alex Fink
PROGRAM COMBINATORIAL ALGEBRAIC GEOMETRY: TROPICAL AND REAL (HYBRID) ORGANIZERS Arvind Ayyer (IISc, India), Madhusudan Manjunath (IITB, India) and Pranav Pandit (ICTS-TIFR, India) DATE & TIME: 27 June 2022 to 08 July 2022 VENUE: Madhava Lecture Hall and Online Algebraic geometry is t
From playlist Combinatorial Algebraic Geometry: Tropical and Real (HYBRID)
How to Solve Every Tech Interview Measuring Question
Can you measure 1ml of water using unmarked beakers of size 5ml and 7ml? Learn how to solve tech interview "measuring questions" using Bezout's Lemma. We begin by filling and emptying the beakers until we arrive at a solution. By analysing what we have done, we are able to convert the pro
From playlist Mathstars
Convolution and Unit Impulse Response
The Dirac delta function, the Unit Impulse Response, and Convolution explained intuitively. Also discusses the relationship to the transfer function and the Laplace Transform. Signal Analysis for Linear Systems. My Patreon page is at https://www.patreon.com/EugeneK
From playlist Physics
The Geometric Langlands conjecture and non-abelian Hodge theory (Lecture 1) by Ron Donagi
Program: Quantum Fields, Geometry and Representation Theory ORGANIZERS : Aswin Balasubramanian, Saurav Bhaumik, Indranil Biswas, Abhijit Gadde, Rajesh Gopakumar and Mahan Mj DATE & TIME : 16 July 2018 to 27 July 2018 VENUE : Madhava Lecture Hall, ICTS, Bangalore The power of symmetries
From playlist Quantum Fields, Geometry and Representation Theory
Brill-Noether part 1: Clifford's Inequality
refs: arabello, cornalba, griffiths, harris
From playlist Brill-Noether
Brill-Noether part 2: Castelnuovo's Inequality
From playlist Brill-Noether
Define linear functions. Use function notation to evaluate linear functions. Learn to identify linear function from data, graphs, and equations.
From playlist Algebra 1