In algebraic geometry, the Quot scheme is a scheme parametrizing locally free sheaves on a projective scheme. More specifically, if X is a projective scheme over a Noetherian scheme S and if F is a coherent sheaf on X, then there is a scheme whose set of T-points is the set of isomorphism classes of the quotients of that are flat over T. The notion was introduced by Alexander Grothendieck. It is typically used to construct another scheme parametrizing geometric objects that are of interest such as a Hilbert scheme. (In fact, taking F to be the structure sheaf gives a Hilbert scheme.) (Wikipedia).
Now that we know what a quotient group is, let's take a look at an example to cement our understanding of the concepts involved.
From playlist Abstract algebra
The idea of a quotient group follows easily from cosets and Lagrange's theorem. In this video, we start with a normal subgroup and develop the idea of a quotient group, by viewing each coset (together with the normal subgroup) as individual mathematical objects in a set. This set, under
From playlist Abstract algebra
What is a difference quotient? How to find a difference quotient. Deriving it from the rise over run formula.
From playlist Calculus
RNT1.4. Ideals and Quotient Rings
Ring Theory: We define ideals in rings as an analogue of normal subgroups in group theory. We give a correspondence between (two-sided) ideals and kernels of homomorphisms using quotient rings. We also state the First Isomorphism Theorem for Rings and give examples.
From playlist Abstract Algebra
Visual Group Theory, Lecture 3.5: Quotient groups
Visual Group Theory, Lecture 3.5: Quotient groups Like how a direct product can be thought of as a way to "multiply" two groups, a quotient is a way to "divide" a group by one of its subgroups. We start by defining this in terms of collapsing Cayley diagrams, until we get a conjecture abo
From playlist Visual Group Theory
PreCalculus | Finding the difference quotient: Example 3
We present a few examples of calculating the difference quotient. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist PreCalculus
Calculus Using the Quotient Rule to Find the Derivative of a f(x) = x^5(1 - 5/(x + 6))
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Using the Quotient Rule to Find the Derivative of a f(x) = x^5(1 - 5/(x + 6))
From playlist Calculus
Simplify an expression by applying quotient rule of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
Rahul Pandharipande - Enumerative Geometry of Curves, Maps, and Sheaves 3/5
The main topics will be the intersection theory of tautological classes on moduli space of curves, the enumeration of stable maps via Gromov-Witten theory, and the enumeration of sheaves via Donaldson-Thomas theory. I will cover a mix of classical and modern results. My goal will be, by th
From playlist 2021 IHES Summer School - Enumerative Geometry, Physics and Representation Theory
Lecture 19 | Programming Paradigms (Stanford)
Lecture by Professor Jerry Cain for Programming Paradigms (CS107) in the Stanford University Computer Science department. In this lecture, Prof. Cain introduces a new programming paradigm, the functional paradigm, and begins lecturing on the Scheme programming language. Programming Par
From playlist Lecture Collection | Programming Paradigms
Iraq Then and Now: Lessons from Empires Past
October 21, 2010 - Priya Satia explores parallels between the British occupation of Iraq after World War I and the current American occupation. She focuses on the use of airpower as a technology policing and subduing that part of the world, in particular how British perceptions of the regi
From playlist Reunion Homecoming
Lecture 24 | Programming Paradigms (Stanford)
Lecture by Professor Jerry Cain for Programming Paradigms (CS107) in the Stanford University Computer Science department. In this lecture, Prof. Cain introduces Python, a scripting language, by providing a basic overview of the language and some examples. Programming Paradigms (CS107)
From playlist Lecture Collection | Programming Paradigms
Analyzing The Trump Indictment & Arrest
It finally happened, but will it stick? 🤩 Get a lifetime subscription to Nebula forever https://legaleagle.link/nebulaforlife Or get a regular annual subscription for 40% off https://legaleagle.link/nebula Welcome back to LegalEagle. The most avian legal analysis on the internets. 🚀 Wa
From playlist Law Review News!
Presuppositionalism and Natural Theology: A Critical Analysis
A guest reading by Riverrun of "Presuppositionalism and Natural Theology: A Critical Analysis of the Presuppositional Challenge to Natural Theology" by Prof. David Haines. Full text: https://www.academia.edu/17323489/PRESUPPOSITIONALISM_AND_NATURAL_THEOLOGY
From playlist Philosophy
Learn the basics in simplifying an expression using the quotient rule of exponents
👉 Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
All The Possible January 6th Crimes
⭐️ Get my videos early & ad free (plus my exclusives!) only on Nebula. Save $10 per year! https://legaleagle.link/getnebula ⭐️ There are a lot of potential crimes. 🍋 Use code LEGALEAGLE16 for up to 16 FREE MEALS + 3 Surprise Gifts across 7 HelloFresh boxes plus free shipping at https://le
From playlist Law Review News!
FTX Was (And Is) A Complete Mess
⭐️ Get my videos early & ad free (plus my exclusives!) only on Nebula. Save $10 per year! https://legaleagle.link/getnebula ⭐️ SBF did bad 🤩 Go to https://legaleagle.link/nebula for 20% off your subscription to Nebula (Exclusives! Ad-Free!) Welcome back to LegalEagle. The most avian le
From playlist Law Review News!
Lecture 20 | Programming Paradigms (Stanford)
Lecture by Professor Jerry Cain for Programming Paradigms (CS107) in the Stanford University Computer Science department. Prof. Cain continues lecturing on the functional paradigm and the Scheme programming language by using the flatten function as an example. Programming Paradigms (CS
From playlist Lecture Collection | Programming Paradigms
Scientific Computing Skills 5. Lecture 07.
UCI Chem 5 Scientific Computing Skills (Fall 2012) Lec 07. Scientific Computing Skills View the complete course: http://ocw.uci.edu/courses/chem_5_scientific_computing_skills.html Instructor: Douglas Tobias, Ph.D. License: Creative Commons BY-NC-SA Terms of Use: http://ocw.uci.edu/info.
From playlist UC Irvine Chemistry 5: Scientific Computing Skills
Difference Quotient - How to Simplify (3 Types)
Learn how to simplify the difference quotient in this video math tutorial by Mario's Math Tutoring. We go through 3 examples: one involving fractions, another square roots, and the third one is a quadratic function. We also discuss how if you take the difference quotient one step further
From playlist Difference Quotient & Derivatives