Algebra over a field

Results: 246



#Item
201Commutative algebra / Ring / Krull dimension / Noetherian ring / Discrete valuation ring / Integral element / Valuation ring / Divisor / Integrally closed domain / Abstract algebra / Algebra / Ring theory

IRREDUCIBLE COMPONENTS OF RIGID SPACES BRIAN CONRAD This paper lays the foundations for the global theory of irreducible components of rigid analytic spaces over a complete field k. We prove the excellence of the local r

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Source URL: math.stanford.edu

Language: English - Date: 2004-08-10 17:07:55
202Group scheme / Barsotti–Tate group / Étale morphism / Spectrum of a ring / Flat topology / Frobenius endomorphism / Flat module / Grothendieck topology / Commutative ring / Abstract algebra / Algebra / Algebraic geometry

Workshop on group schemes and p-divisible groups: Homework[removed]i) Using the structure theorem and Frobenius morphisms, prove that a finite group scheme over a field is killed by its order. (Exer. 3(ii) in HW1 gives a

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Source URL: math.stanford.edu

Language: English - Date: 2005-05-26 17:44:58
203Homological algebra / Algebraic groups / Niels Henrik Abel / Scheme theory / Group scheme / Abelian group / Abelian variety / Tate module / Elliptic curve / Abstract algebra / Algebra / Algebraic geometry

Workshop on group schemes and p-divisible groups: Homework[removed]Let A be an abelian variety over a field k with characteristic p > 0 and dimension g > 0. Use the fact that A and A∨ are isogenous to prove that the ´et

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Source URL: math.stanford.edu

Language: English - Date: 2005-05-26 17:43:25
204Functional analysis / Linear algebra / Differential equation / Factorization of polynomials over a finite field and irreducibility tests / Classical orthogonal polynomials / Mathematical analysis / Mathematics / Abstract algebra

Engineering Mathematics and Sciences Department of Mathematical Sciences  Course Offerings

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Source URL: math.lakeheadu.ca

Language: English - Date: 2014-05-21 11:44:27
205Polynomials / Coding theory / Information theory / Finite fields / Factorization of polynomials over a finite field and irreducibility tests / Anatolii Alexeevitch Karatsuba / Mathematics / Algebra / Linear algebra

DEPARTMENT OF MATHEMATICS & STATISTICS FACULTY OF ARTS AND SCIENCE QUEEN’S UNIVERSITY Advice for students entering second-year in 2014–15

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Source URL: www.mast.queensu.ca

Language: English - Date: 2014-03-19 14:06:40
206Group theory / Diophantine geometry / Algebraic curves / Abelian variety / Birch and Swinnerton-Dyer conjecture / Supersingular elliptic curve / Finite field / Separable extension / Lenstra elliptic curve factorization / Abstract algebra / Elliptic curves / Number theory

ROOT NUMBERS AND RANKS IN POSITIVE CHARACTERISTIC B. CONRAD, K. CONRAD, AND H. HELFGOTT Abstract. For a global field K and an elliptic curve Eη over K(T ), Silverman’s specialization theorem implies rank(Eη (K(T )))

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Source URL: math.stanford.edu

Language: English - Date: 2005-10-02 23:07:54
207Sieve theory / Exponentials / Exponentiation / Finite fields / Information theory / Jurkat–Richert theorem / Factorization of polynomials over a finite field and irreducibility tests / Mathematics / Abstract algebra / Mathematical analysis

([removed], 9h26) Products of ratios of consecutive integers R´egis de la Bret`eche, Carl Pomerance & G´erald Tenenbaum For Jean-Louis Nicolas, on his sixtieth birthday

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2005-09-22 15:40:20
208Representation theory / Lie groups / Reductive group / Root datum / Field extension / Separable extension / Unipotent / Gelfand pair / Symmetric space / Abstract algebra / Algebra / Algebraic groups

CLASSIFICATION OF PSEUDO-REDUCTIVE GROUPS BRIAN CONRAD AND GOPAL PRASAD Abstract. In an earlier work [CGP], a general theory for pseudo-reductive groups G over arbitrary fields k was developed, and a structure theorem wa

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Source URL: math.stanford.edu

Language: English - Date: 2013-12-17 09:51:09
209Polynomials / Discriminant / Monic polynomial / Finite field / Resultant / Étale cohomology / Factorization of polynomials over a finite field and irreducibility tests / Algebra / Abstract algebra / Mathematics

Problems for Arizona Winter School 2014: Distribution of discriminants of polynomials over finite fields Jordan S. Ellenberg 1 Feb[removed]In the lectures, we discuss the relationship between questions about probability di

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Source URL: swc.math.arizona.edu

Language: English - Date: 2014-02-06 03:03:23
210Arithmetic function / Prime number / Theorems and definitions in linear algebra / Factorization of polynomials over a finite field and irreducibility tests / Mathematics / Number theory / Integer sequences

Rcpnnled All R&s from JOU~~L OF Nuwzn THEORY

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2007-10-19 17:23:21
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