In algebraic geometry, the sheaf of logarithmic differential p-forms on a smooth projective variety X along a smooth divisor is defined and fits into the exact sequence of locally free sheaves: where are the inclusions of irreducible divisors (and the pushforwards along them are extension by zero), and is called the when p is 1. For example, if x is a closed point on and not on , then form a basis of at x, where are local coordinates around x such that are local parameters for . (Wikipedia).
Ex: Logarithmic Differentiation
This video provides and example of how the properties of logarithms can be used to determine the derivative of a function. Search Entire Video Library at www.mathispower4u.wordpress.com
From playlist Logarithmic Differentiation
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From playlist Exponential and Logarithmic Expressions and Equations
Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A
Solving the Logarithmic Equation log(A) = log(B) - C*log(x) for A Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Logarithmic Equations
Akhil Mathew - Remarks on p-adic logarithmic cohomology theories
Correction: The affiliation of Lei Fu is Tsinghua University. Many p-adic cohomology theories (e.g., de Rham, crystalline, prismatic) are known to have logarithmic analogs. I will explain how the theory of the “infinite root stack” (introduced by Talpo-Vistoli) gives an alternate approach
From playlist Conférence « Géométrie arithmétique en l’honneur de Luc Illusie » - 5 mai 2021
Perfect points on abelian varieties in positive characteristic. - Rössler - Workshop 2 - CEB T2 2019
Damian Rössler (University of Oxford) / 24.06.2019 Perfect points on abelian varieties in positive characteristic. Let K be the function field over a smooth curve over a perfect field of characteristic p 0. Let Kperf be the maximal purely inseparable extension of K. Let A be an abelian
From playlist 2019 - T2 - Reinventing rational points
J. Demailly - Existence of logarithmic and orbifold jet differentials
Abstract - Given a projective algebraic orbifold, one can define associated logarithmic and orbifold jet bundles. These bundles describe the algebraic differential operators that act on germs of curves satisfying ad hoc ramification conditions. Holomorphic Morse inequalities can be used to
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Schemes 3: exactness and sheaves
This lecture is part of an online algebraic geometry course on schemes, based on chapter II of "Algebraic geometry" by Hartshorne. In it we discuss exactness of morphisms of sheaves over a topological space.
From playlist Algebraic geometry II: Schemes
Solving an Equation with Two Logarithms log(x) + log(x - 21) = 2
Solving an Equation with Two Logarithms log(x) + log(x - 21) = 2 Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys
From playlist Logarithmic Equations
Solving a natural logarithmic equation using quadratic formula with e
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the equality sign as single terms. Then, we equate the numbe
From playlist Solve Logarithmic Equations
Felix Klein Lecture 2022 part6
From playlist Felix Klein Lectures 2022
Using the inverse of an exponential equation to find the logarithm
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how to convert between the different forms will help us i
From playlist Logarithmic and Exponential Form | Learn About
Bourbaki - 07/11/15 - 3/4 - Benoît CLAUDON
Semi-positivité du cotangent logarithmique et conjecture de Shafarevich-Viehweg, d’après Campana, Pa ̆un, Taji,... Démontrée par A. Parshin et S. Arakelov au début des années 1970, la conjecture d’hyperbolicité de Shafarevich affirme qu’une famille de courbes de genre g ≥ 2 paramétrée pa
From playlist Bourbaki - 07 novembre 2015
How to use the product rule of logarithms to solve an equation, log6 (x) +log6 (x-9)=2
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the equality sign as single terms. Then, we equate the numbe
From playlist Solve Logarithmic Equations
Complex Brunn–Minkowski theory and positivity of vector bundles – Bo Berndtsson – ICM2018
Geometry | Analysis and Operator Algebras Invited Lecture 5.2 | 8.2 Complex Brunn–Minkowski theory and positivity of vector bundles Bo Berndtsson Abstract: This is a survey of results on positivity of vector bundles, inspired by the Brunn–Minkowski and Prékopa theorems. Applications to c
From playlist Geometry
Solving a logarithm with a fraction
👉 Learn how to solve logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the logarithm part of the equation, we then get rid of the logarithm. This i
From playlist Solve Logarithmic Equations
Solving a natural logarithmic equation using quadratic formula
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the equality sign as single terms. Then, we equate the numbe
From playlist Solve Logarithmic Equations with Logs on Both Sides
Daichi Takeuchi - On local epsilon factors of the vanishing cycles of isolated singularities
The Hasse-Weil zeta function of a regular proper flat scheme over the integers is expected to extend meromorphically to the whole complex plane and satisfy a functional equation. The local epsilon factors of vanishing cycles are the local factors of the constant term in the functional equa
From playlist Franco-Asian Summer School on Arithmetic Geometry (CIRM)
Applying the power rule of logarithms to solve the equation, 3log7 (4) = 2log7 (b)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the equality sign as single terms. Then, we equate the numbe
From playlist Solve Logarithmic Equations with Logs on Both Sides