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Moduli of algebraic curves
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21	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
22	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
23	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
24	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
25	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
26	Proceedings of 7th G¨ okova Geometry-Topology Conference, pp, 1 – 7 On the tautological ring of Mg,n Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2002-02-22 23:12:10 Moduli theory Algebraic curves Invariant theory Moduli space ELSV formula Moduli of algebraic curves Hyperelliptic curve Elliptic curve Chow ring Algebraic geometry Abstract algebra Geometry
27	THE MODULI SPACE OF CURVES AND ITS TAUTOLOGICAL RING RAVI VAKIL The moduli space of curves has proven itself a central object in geometry. The past decade has seen substantial progress in understanding the moduli space o Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2003-03-14 11:50:44 Moduli theory Algebraic geometry Invariant theory Vector bundles Moduli space Projective geometry Moduli of algebraic curves Line bundle Algebraic stack Abstract algebra Geometry Topology
28	Durham E-Theses Moduli of symplectic bundles over curves Hitching, George H. How to cite: Add to Reading List Source URL: etheses.dur.ac.uk Language: English - Date: 2014-01-29 22:32:17 Geometry Invariant theory Moduli space Divisor Symplectic topology Algebraic curves Stable vector bundle Algebraic geometry Abstract algebra Moduli theory
29	RIMS Kˆ okyˆ uroku Bessatsu B19 (2010), 45–79 Purity of Stratifications of Shimura Varieties in Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2010-06-05 19:29:02 Moduli theory Analytic number theory Algebraic curves Niels Henrik Abel Moduli space Abelian variety Shimura variety Modular form Elliptic curve Abstract algebra Algebra Algebraic geometry
30	Contents Chapter 1. Introduction 1. Short history of moduli problems 2. From smooth curves to canonical models 3. From stable curves to stable varieties 4. Examples of bad moduli problems Add to Reading List Source URL: web.math.princeton.edu Language: English - Date: 2010-10-14 11:18:57 Moduli theory Moduli space Geometric invariant theory Algebraic stack Kodaira dimension Hilbert scheme Compactification Moduli scheme Riemann surface Algebraic geometry Abstract algebra Geometry