Algebraic Geometry

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Description

This lecture covers the fundamentals of algebraic geometry, including algebraic numbers, irreducible polynomials, and decomposition of polynomials. It also explores the concept of roots, transcendental numbers, and the domain of algebraic functions.

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Official source

Ontological neighbourhood

Mathematics

Algebra: Polynomials

Related lectures (28)

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In course

DEMO: dolore cillum sint sit

Instructor

mollit ad consectetur non

Ontological neighbourhood

Mathematics

Algebra: Polynomials

Related lectures (28)

Intersection Numbers: Algebraic Counting Solutions

Explores intersection numbers for counting solutions to polynomial equations algebraically and their geometric significance in intersection theory and enumerative geometry.

Integration on H_pxH and Arithmetic

Explores integration on H_pxH and arithmetic properties, including norms, structures, and polynomial factorization.

Vector Spaces: Properties and Examples

Explores vector spaces, focusing on properties, examples, and subspaces within a practical exercise on polynomials.

Polynomials: Definitions and Operations

Covers the definition and operations of polynomials, including addition and multiplication, degree, coefficients, and their role in algebraic systems.

Complex Roots and Polynomials

Explores complex roots, polynomials, and factorizations, including roots of unity and the fundamental theorem of algebra.