Theorems in algebraic geometry | Theorems in complex geometry | Topological methods of algebraic geometry
In mathematics, specifically in the study of vector bundles over complex Kähler manifolds, the Nakano vanishing theorem, sometimes called the Akizuki–Nakano vanishing theorem, generalizes the Kodaira vanishing theorem. Given a compact complex manifold M with a holomorphic line bundle F over M, the Nakano vanishing theorem provides a condition on when the cohomology groups equal zero. Here, denotes the sheaf of holomorphic (p,0)-forms taking values on F. The theorem states that, if the first Chern class of F is negative, Alternatively, if the first Chern class of F is positive, (Wikipedia).
Examples of removable and non removable discontinuities to find limits
👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuos if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump discontinuity. A discontinuity is removable when the denomin
From playlist Holes and Asymptotes of Rational Functions
Dror Varolin - Minicourse - Lecture 1
Dror Varolin Variations of Holomorphic Hilbert spaces Traditional complex analysis focuses on a single space, like a domain in Euclidean space, or more generally a complex manifold, and studies holomorphic maps on that space, into some target space. The typical target space for a domain i
From playlist Maryland Analysis and Geometry Atelier
Existence and Uniqueness of Solutions (Differential Equations 11)
https://www.patreon.com/ProfessorLeonard THIS VIDEO CAN SEEM VERY DECEIVING REGARDING CONTINUITY. As I watched this back, after I edited it of course, I noticed that I mentioned continuity is not possible at Endpoints. This is NOT true, as we can consider one-sided limits. What I MEANT
From playlist Differential Equations
Existence & Uniqueness Theorem, Ex1.5
Existence & Uniqueness Theorem for differential equations. Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of d
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Learn how to find and classify the discontinuity of the function
👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuous if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump discontinuity. A discontinuity is removable when the denomi
From playlist Holes and Asymptotes of Rational Functions
Relative Canonical Bundles for families of Calabi-Yau manifolds, twisted Hodge by Georg Schumacher
20 March 2017 to 25 March 2017 VENUE: Ramanujan Lecture Hall, ICTS, Bengaluru Complex analytic geometry is a very broad area of mathematics straddling differential geometry, algebraic geometry and analysis. Much of the interactions between mathematics and theoretical physics, especially
From playlist Complex Geometry
D-modules in birational geometry – Mihnea Popa – ICM2018
Algebraic and Complex Geometry Invited Lecture 4.10 D-modules in birational geometry Mihnea Popa Abstract: I will give an overview of techniques based on the theory of mixed Hodge modules, which lead to a number of applications of a rather elementary nature in birational and complex geom
From playlist Algebraic & Complex Geometry
I will discuss certain invariants of singularities, the Hodge ideals, that are defined in the context of Saito’s theory of mixed Hodge modules. They can be considered as higher order analogues of the multiplier ideals, invariants that have had a lot of applications in complex geometry. I w
From playlist Complex analytic and differential geometry - a conference in honor of Jean-Pierre Demailly - 6-9 juin 2017
Determine the discontinuity of the function
👉 Learn how to classify the discontinuity of a function. A function is said to be discontinuos if there is a gap in the graph of the function. Some discontinuities are removable while others are non-removable. There is also jump discontinuity. A discontinuity is removable when the denomin
From playlist Holes and Asymptotes of Rational Functions
What are removable and non-removable discontinuties
👉 Learn how to find the removable and non-removable discontinuity of a function. A function is said to be discontinuous at a point when there is a gap in the graph of the function at that point. A discontinuity is said to be removable when there is a factor in the numerator which can cance
From playlist Find the Asymptotes of Rational Functions
Mihnea Popa: Hodge filtration and birational geometry
CONFERENCE Recorded during the meeting "D-Modules: Applications to Algebraic Geometry, Arithmetic and Mirror Symmetry" the April 14, 2022 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by
From playlist Algebraic and Complex Geometry
The Vortex Ansatz as a Fertile Testing Ground for Certain Systems of PDEs by Vamsi Pingali
PROGRAM: VORTEX MODULI ORGANIZERS: Nuno Romão (University of Augsburg, Germany) and Sushmita Venugopalan (IMSc, India) DATE & TIME: 06 February 2023 to 17 February 2023 VENUE: Ramanujan Lecture Hall, ICTS Bengaluru For a long time, the vortex equations and their associated self-dual fie
From playlist Vortex Moduli - 2023
F. Polizzi - Classification of surfaces via Mori theory (Part 3)
We give a summary of the Minimal Model Program (namely, Mori Theory) in the case of surfaces.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Verifying a solution to the differential equation y''+y=tan(x)
Verifying a solution to the differential equation y''+y=tan(x) Subscribe for more math for fun videos 👉 https://bit.ly/3o2fMNo For more calculus & differential equation tutorials, check out @justcalculus 👉 https://www.youtube.com/justcalculus To learn how to solve different types of
From playlist Differential Equations: Existence & Uniqueness Theorem (Nagle Sect1.2)
Why do we care about characters of tilting modules? - Shotaro Makisumi
SL2 Seminar Topic: Why do we care about characters of tilting modules? Speaker: Shotaro Makisumi Affiliation: Columbia University; Member, School of Mathematics Date: January 26, 2021 For more video please visit http://video.ias.edu
From playlist Mathematics
An introduction to modified traces, Jonathan Kujawa, Lecture II
Lecture series on modified traces in algebra and topology The trace of a map and the dimension of a representation are fundamental invariants in representation theory. They are useful both for proving results in representation theory and for applications in other areas (e.g., low-dimensio
From playlist Lecture series on modified traces in algebra and topology
Dror Varolin - Minicourse - Lecture 3
Dror Varolin Variations of Holomorphic Hilbert spaces Traditional complex analysis focuses on a single space, like a domain in Euclidean space, or more generally a complex manifold, and studies holomorphic maps on that space, into some target space. The typical target space for a domain i
From playlist Maryland Analysis and Geometry Atelier
Determine Infinite Limits of a Rational Function Using a Table and Graph (Squared Denominator)
This video explains how to determine a limits and one-sided limits. The results are verified using a table and a graph.
From playlist Infinite Limits