Algebra 2. Teorema di Lindemann-Weierstrass. Roma, version 2017 In this note we present Baker’s proof of the Lindemann-Weierstrass Theorem [1]. Let Q denote the algebraic closure of Q inside C.

Source URL: www.mat.uniroma2.it

ON THE RELATION BETWEEN GALOIS GROUPS AND MOTIVIC GALOIS GROUPS PETER JOSSEN Abstract. Let k be a subfield of C, and let k be its algebraic closure in C. We establish a short exact sequence relating the motivic Galois gr

Source URL: www.jossenpeter.ch

CONSTRUCTING ALGEBRAIC CLOSURES KEITH CONRAD Let K be a field. We want to construct an algebraic closure of K, i.e., an algebraic extension of K which is algebraically closed. It will be built out of the quotient of a po

Source URL: www.math.uconn.edu

Fast arithmetic for the algebraic closure of finite fields Luca De Feo Javad Doliskani Éric Schost

Source URL: cs.uwaterloo.ca

Closure Relations of K orbits on G/B 1. Introduction Let G be a complex, connected, reductive algebraic group defined over R and let GR be the real points of G. Let KR be a maximal compact subgroup in GR and let K be its

Source URL: www.liegroups.org

Galois Groups of Radical Extensions Hendrik Lenstra 1. Introduction ¯ The following Throughout this lecture, K denotes a field, with algebraic closure K.

Source URL: websites.math.leidenuniv.nl

THE ALGEBRA AND MODEL THEORY OF TAME VALUED FIELDS FRANZ–VIKTOR KUHLMANN Abstract. A henselian valued field K is called a tame field if its algebraic closure ˜ is a tame extension, that is, the ramification field of t

Source URL: math.usask.ca

THE MODEL THEORY OF SEPARABLY TAME VALUED FIELDS FRANZ–VIKTOR KUHLMANN AND KOUSHIK PAL Abstract. A henselian valued field K is called separably tame if its separable-algebraic closure K sep is a tame extension, that is

Source URL: math.usask.ca

Fast arithmetic for the algebraic closure of finite fields Luca De Feo Javad Doliskani Éric Schost

Source URL: www.csd.uwo.ca

This text is based on classes given in Spring 2015 Jerusalem and in Spring 2016 in Paris on globally valued fields, aiming to prove the existential closure of k(a)alg , and concentrating on the algebraic geometry needed

Source URL: math.huji.ac.il

• Algebra
• Abstract algebra
• Algebraic geometry
• Algebraic varieties
• Field theory
• Divisor
• Ample line bundle
• Blowing up
• Projective variety
• Sheaf
• Picard group
• Morphism of algebraic varieties