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Smooth morphism
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1	ESTIMATES FOR NONSINGULAR MIXED CHARACTER SUMS NICHOLAS M. KATZ 1. Introduction and statement of the main result Let k be a finite field, p its characteristic, q its cardinality, Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2007-08-11 18:28:28 Algebra Abstract algebra Mathematics Algebraic geometry Algebraic varieties Cohomology Projective variety CohenMacaulay ring Smooth scheme Smooth functions Morphism of algebraic varieties Divisor
2	Fundamental groups of log conﬁguration spaces and the cuspidalization problem Yuichiro Hoshi Contents 1 Introduction Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2011-11-07 02:04:36 Algebra Abstract algebra Mathematics Algebraic geometry Log structure Morphism of schemes tale morphism Smooth morphism Isomorphism Scheme Grothendieck topology Stack
3	957 Documenta Math. Almost Proper GIT-Stacks and Discriminant Avoidance Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2010-12-11 12:19:45 Algebra Abstract algebra Geometry Algebraic geometry Morphism of schemes Torsor Projective variety Sheaf Divisor Proper morphism Flat morphism Smooth morphism
4	The set of non-n-th powers in a number field is diophantine Joint work with Jan Van Geel (Gent) Jean-Louis Colliot-Th´el`ene (CNRS et Universit´e Paris-Sud, Orsay, visiting BICMR) Capital Normal University Add to Reading List Source URL: www.math.u-psud.fr Language: English - Date: 2015-11-25 21:14:39 Abstract algebra Algebra Geometry Algebraic geometry Algebraic varieties Projective geometry Smooth scheme Projective variety Field extension Elliptic curve Affine variety Morphism of algebraic varieties
5	957 Documenta Math. Almost Proper GIT-Stacks and Discriminant Avoidance Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2010-12-11 12:19:45 Algebra Abstract algebra Geometry Algebraic geometry Morphism of schemes Torsor Projective variety Sheaf Divisor Proper morphism Flat morphism Smooth morphism
6	5 Documenta Math. Ramification of Local Fields with Imperfect Residue Fields II Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2003-12-22 16:28:25 Algebra Abstract algebra Mathematics Algebraic geometry Commutative algebra Field theory Valuation Smooth morphism Flat morphism Sheaf Integral element tale morphism
7	A curve and its abstract Jacobian Boris Zilber University of Oxford August 22, 2012 Abstract Let C(K) be the K-points of a smooth projective curve C of genus Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2012-08-22 07:02:47 Mathematics Algebra Abstract algebra Model theory Algebraic varieties Functions and mappings Algebraic curves Morphism of algebraic varieties Interpretation Elliptic curve Divisor Strongly minimal theory
8	69 Documenta Math. A Short Proof of Rost Nilpotence via Refined Correspondences Add to Reading List Source URL: www.math.uiuc.edu Language: English - Date: 2003-06-11 06:19:46 Homological algebra Algebraic geometry Motive Sheaf Smooth morphism KnuthBendix completion algorithm GEC
9	1555 Documenta Math. Invariants of Upper Motives Olivier Haution Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2013-12-06 06:29:28 Algebraic geometry Morphism of algebraic varieties Birational geometry Projective variety Chow group Kodaira dimension Proper morphism Motive Ample line bundle Coherent sheaf Smooth scheme Resolution of singularities
10	Lecture on Mochizuki’s anabeloids Motivation: Assume k = C, X is a hyperbolic curve over C (smooth of genus g with r deleted points such that 2g − 2 + r > 0. e → X. It is known that X ∼ Consider the universal co Add to Reading List Source URL: www.maths.nottingham.ac.uk Language: English - Date: 2015-12-10 03:53:22 Algebraic topology Algebraic geometry Category theory Homotopy theory Scheme theory tale fundamental group tale morphism Morphism Category Sheaf Functor Covering space

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