81![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 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](https://www.pdfsearch.io/img/7ff01b0beb90b1d2f2eace42af0b1ee3.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2008-01-23 14:21:23
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82![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 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](https://www.pdfsearch.io/img/ca25f91af88bec52e8c06537caa44c6b.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2004-06-22 14:24:22
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83![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 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](https://www.pdfsearch.io/img/6dc9e8edc3c635b2c40406ea6abe63a8.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2004-12-20 16:33:15
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84![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 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](https://www.pdfsearch.io/img/859537d64cc03297a13007cd53c83bfe.jpg) | Add to Reading ListSource URL: math.byu.eduLanguage: English - Date: 2006-06-18 21:18:37
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85![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 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](https://www.pdfsearch.io/img/2ddac192112163d7593307f63d042b3c.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2002-02-22 23:12:09
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86![THE ENUMERATIVE GEOMETRY OF RATIONAL AND ELLIPTIC CURVES IN PROJECTIVE SPACE RAVI VAKIL Abstract. We study the geometry of moduli spaces of genus 0 and 1 curves in Pn with specified contact with a hyperplane H. We comput THE ENUMERATIVE GEOMETRY OF RATIONAL AND ELLIPTIC CURVES IN PROJECTIVE SPACE RAVI VAKIL Abstract. We study the geometry of moduli spaces of genus 0 and 1 curves in Pn with specified contact with a hyperplane H. We comput](https://www.pdfsearch.io/img/a765f37c7bb11ae9ef7569d21c2554d4.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2002-02-22 23:12:08
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87![THE EQUATIONS FOR THE MODULI SPACE OF n POINTS ON THE LINE BENJAMIN HOWARD, JOHN MILLSON, ANDREW SNOWDEN AND RAVI VAKIL A BSTRACT. A central question in invariant theory is that of determining the relations among invaria THE EQUATIONS FOR THE MODULI SPACE OF n POINTS ON THE LINE BENJAMIN HOWARD, JOHN MILLSON, ANDREW SNOWDEN AND RAVI VAKIL A BSTRACT. A central question in invariant theory is that of determining the relations among invaria](https://www.pdfsearch.io/img/81315311781ab8adecb95a523c53655a.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2008-08-18 13:26:39
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88![Proceedings of 7th G¨ okova Geometry-Topology Conference, pp, 1 – 7 On the tautological ring of Mg,n Proceedings of 7th G¨ okova Geometry-Topology Conference, pp, 1 – 7 On the tautological ring of Mg,n](https://www.pdfsearch.io/img/4782e2f31f3fb8a2e864a2985383f6dd.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2002-02-22 23:12:10
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89![A Desingularization of the Main Component of the Moduli Space of Genus-One Stable Maps into Pn Ravi Vakil∗ and Aleksey Zinger† September 7, 2007 Abstract A Desingularization of the Main Component of the Moduli Space of Genus-One Stable Maps into Pn Ravi Vakil∗ and Aleksey Zinger† September 7, 2007 Abstract](https://www.pdfsearch.io/img/d860be5d08af7416914f01c4e48b1e29.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2007-09-07 17:58:58
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90![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 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](https://www.pdfsearch.io/img/354f4f858d7d9f932a09245ee4f01459.jpg) | Add to Reading ListSource URL: math.stanford.eduLanguage: English - Date: 2003-03-14 11:50:44
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