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Algebraic number field
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111	677 Documenta Math. Galois Algebras, Hasse Principle and Induction–Restriction Methods Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2011-11-21 14:27:45 Ring theory Algebraic number theory Non-associative algebras Lie groups Algebraic structures Brauer group Mutation Algebraic number field Integral element Quaternion algebra J-structure Clifford algebra
112	RANDOM DIOPHANTINE EQUATIONS ´ FELIPE VOLOCH BJORN POONEN AND JOSE ´ le `ne and Nicholas M. Katz) Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2004-10-22 18:26:34 Algebraic number theory Ring theory Homology theory Field theory Brauer group tale cohomology Algebraic number field Poincar duality Cohomology Hasse principle Ring Hodge conjecture
113	Documenta Mathematica Band 19, 2014 Yuval Z. Flicker Eisenstein Series and the Trace Formula for GL(2) over a Function Field Giuseppe De Nittis and Max Lein Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2015-01-28 05:36:03 Cohomology Duality Picard group Homological algebra Algebraic number theory
114	Invent. math. 174, 555–DOI: s00222x Mixed Hodge polynomials of character varieties With an appendix by Nicholas M. Katz Tam´as Hausel1 , Fernando Rodriguez-Villegas2 Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2008-11-27 11:43:31 Homological algebra Hodge theory Conjectures Algebraic geometry Polynomials Hodge structure Lefschetz hyperplane theorem Macdonald polynomials Weil conjectures Betti number Finite field Hodge conjecture
115	Vulnerable Galois RLWE Families and Improved Attacks Hao Chen, Kristin E. Lauter, Katherine E. Stange 1. Introduction Lattice-based cryptography was introduced in the mid 1990s in two different forms, independently by Aj Add to Reading List Source URL: math.colorado.edu Language: English - Date: 2016-02-24 10:14:48 Algebraic number theory Finite fields Ring Learning with Errors Galois theory Field theory Algebraic number field Distribution Frobenius endomorphism XTR Ring learning with errors key exchange
116	73 Documenta Math. Specialization of the p-adic Polylogarithm to p-th Power Roots of Unity Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2003-12-22 16:28:26 Algebraic number theory Field theory Number theory Polylogarithm Frobenius endomorphism P-adic number Exponentiation Crystalline cohomology
117	Pseudo-null submodules of the unramified Iwasawa module for Z2p -extensions Satoshi Fujii (Keio Univ.) 1. Introduction Let k/Q be a ﬁxed ﬁnite abelian extension and p a ﬁxed prime number. Add to Reading List Source URL: staff.miyakyo-u.ac.jp Language: English - Date: 2008-11-03 17:53:06 Field theory Class field theory Algebraic number theory Iwasawa theory Kummer theory Commutative algebra
118	301 Documenta Math. Λ-Adic Euler Characteristics of Elliptic Curves To John Coates on the occasion of his sixtieth birthday Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2006-11-21 15:14:22 Field theory Group theory Algebraic geometry Number theory Analytic number theory Elliptic curve Valuation Algebraic number field Iwasawa algebra Complex multiplication Weight
119	MATHEMATICSof computation VOLUME 41. NUMBER 163 JULY 1983, PAGESClass Groups of Complex Quadratic Fields By R. J. Schoof Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2013-10-18 10:58:33 Algebraic number theory Quadratic forms Field theory Linear algebra Real algebraic geometry Quadratic field Discriminant Algebraic number field Factorization Field extension Elliptic curve
120	69 Documenta Math. On the Γ-Factors of Motives II Christopher Deninger1 Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2001-12-05 06:18:18 Homological algebra Sheaf theory Algebraic topology Vector bundles Sheaf Hodge structure Coherent sheaf Algebraic number field Cohomology StiefelWhitney class Sheaf cohomology

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