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Moduli
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251	THE MODULI SPACE OF CURVES AND GROMOV-WITTEN THEORY RAVI VAKIL A BSTRACT. The goal of this article is to motivate and describe how Gromov-Witten theory can and has provided tools to understand the moduli space of curves. Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-05-26 15:48:29 Moduli theory Algebraic curves Invariant theory Complex manifolds Moduli space Moduli of algebraic curves Riemann–Roch theorem Ample line bundle Divisor Algebraic geometry Abstract algebra Geometry
252	CURRICULUM VITAE TYLER J. JARVIS Education. Ph.D: M.A: Add to Reading List Source URL: math.byu.edu Language: English - Date: 2013-10-24 10:54:25 String theory Symplectic topology Symmetry Algebraic geometry Moduli theory Orbifold Quantum cohomology Moduli space Moduli Physics Abstract algebra Geometry
253	ABSOLUTE GALOIS ACTS FAITHFULLY ON THE COMPONENTS OF THE MODULI SPACE OF SURFACES: A BELYI-TYPE THEOREM IN HIGHER DIMENSION ROBERT W. EASTON AND RAVI VAKIL A BSTRACT. Given an object over Q, there is often no reason for Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2007-07-31 17:36:23 Birational geometry Moduli theory Absolute Galois group Enriques–Kodaira classification Moduli space XTR Étale cohomology Abstract algebra Algebra Galois theory
254	MURPHY’S LAW IN ALGEBRAIC GEOMETRY: BADLY-BEHAVED DEFORMATION SPACES RAVI VAKIL A BSTRACT. We consider the question: “How bad can the deformation space of an object be?” The answer seems to be: “Unless there is s Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-07-07 21:44:12 Moduli theory Scheme theory Invariant theory Algebraic surfaces Moduli space Resolution of singularities Enriques–Kodaira classification Surface of general type Moduli of algebraic curves Algebraic geometry Geometry Abstract algebra
255	A SHORT PROOF OF THE λg -CONJECTURE WITHOUT GROMOV-WITTEN THEORY: HURWITZ THEORY AND THE MODULI OF CURVES I. P. GOULDEN, D. M. JACKSON AND R. VAKIL Abstract. We give a short and direct proof of Getzler and Pandharipande Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2008-08-17 21:54:01 Permutations Mathematical analysis Partial differential equation Mathematics ELSV formula Moduli theory
256	A DESCRIPTION OF THE OUTER AUTOMORPHISM OF S6, AND THE INVARIANTS OF SIX POINTS IN PROJECTIVE SPACE BEN HOWARD, JOHN MILLSON, ANDREW SNOWDEN, AND RAVI VAKIL A BSTRACT. We use a simple description of the outer automorphis Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2008-01-23 14:21:23 Lie groups Symmetry Algebraic groups Automorphism Outer automorphism group E6 Inner automorphism Out Moduli space Abstract algebra Algebra Group theory
257	THE AFFINE STRATIFICATION NUMBER AND THE MODULI SPACE OF CURVES MIKE ROTH AND RAVI VAKIL A BSTRACT. We define the affine stratification number asn X of a scheme X. For X equidimensional, it is the minimal number k such t Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-06-22 14:24:22 Algebraic space Flat morphism Blowing up Affine geometry Proj construction Codimension Affine connection Algebraic variety Geometry Abstract algebra Algebraic geometry
258	RELATIVE VIRTUAL LOCALIZATION AND VANISHING OF TAUTOLOGICAL CLASSES ON MODULI SPACES OF CURVES TOM GRABER AND RAVI VAKIL A BSTRACT. We prove a localization formula for the moduli space of stable relative maps. As an appl Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2004-12-20 16:33:15 Moduli theory Algebraic topology String theory Invariant theory Moduli space Gromov–Witten invariant Moduli of algebraic curves ELSV formula Stable map Abstract algebra Algebraic geometry Algebra
259	COMPACTIFICATION OF THE UNIVERSAL PICARD OVER THE MODULI OF STABLE CURVES TYLER J. JARVIS A. This article provides two different, but closely related, moduli problems, which in characteristic zero pr Add to Reading List Source URL: math.byu.edu Language: English - Date: 2006-06-18 21:18:37 Moduli space Algebraic stack Ample line bundle Sheaf Compactification Modular curve Proper morphism Torsion tensor Algebraic space Abstract algebra Geometry Algebraic geometry
260	A TOOL FOR STABLE REDUCTION OF CURVES ON SURFACES RAVI VAKIL Abstract. In the study of the geometry of curves on surfaces, the following question often arises: given a one-parameter family of divisors over a pointed Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:12:09 Moduli theory Vector bundles Analytic number theory Elliptic curve Group theory Intersection number Curve Divisor Moduli space Abstract algebra Geometry Algebraic geometry

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