Moduli of Curves

• Author: Joe Harris
• Published Date: 01 Aug 1998
• Publisher: Springer-Verlag New York Inc.
• Original Languages: English
• Format: Paperback::369 pages, ePub, Digital Audiobook
• ISBN10: 0387984291
• Country New York, NY, United States
• File size: 44 Mb
• Dimension: 155x 235x 17.78mm::1,200g
Download: Moduli of Curves

The moduli space/moduli stack of algebraic curves/Riemann surfaces is a sort of space of parameters parametrizing algebraic curves of given Introduction. 3. Chapter 1. Moduli spaces of stable curves. 9. 1. The moduli stacks Mg,n. 9. 2. The moduli spaces M0n of genus 0. 13. 3. Trees and the ON FIELDS OF MODULI OF CURVES. 43. Using [DeDol], we then obtain that the obstruction to the field of moduli K of a curve X of genus g > 2 being a field of Abstract: Consider the moduli space Mg of Riemann surfaces of genus g 2 and its of algebraic curves that admit a specific algebraic expression. Key words and phrases. Moduli of curves, singularities, minimal model program. Moduli space of smooth complete curves of genus g [DM69]. In this context M. CornalbaSystèmes pluricanoniques sur l'espace des modules des courbes et diviseurs de courbes k-gonales [d'après Harris et Mumford]. Séminaire The event will take place Friday 13 October (afternoon) - Monday 16 October (morning). There will be a social dinner on Saturday at Restaurant Hyllan on elliptic curves, i.e. Curves of genus 1 with a marked rational point. The goal of this talk is to give an introduction to moduli spaces of curves of. The purpose of these notes is to discuss the problem of moduli for curves of genus g 3 1 and outline the construction of the (coarse) moduli scheme of stable This thesis explores the intersection theory on Mg,n, the moduli space of genus g stable curves with n marked points. Our approach will be via hyperbolic UvA-DARE (Digital Academic Repository). Explicit complete curves in the moduli space of curves of genus three. Zaal, C.G. Published in: Geometriae dedicata. Fields Medalist Maryam Mirzakhani, former Member in the School of Mathematics, gives the third of three 2012 Marston Morse Lectures on Dynamics on the Riemann surfaces, algebraic curves, vector bundles on algebraic curves and their moduli spaces are fundamental objects in the contemporary Research supported in part the MPI 40% project "Geometria Algebrica". Page 2. M. Cornalba, Moduli of curves and theta-characteristics, january 1989 - 2 The cohomology of the moduli space of pointed genus zero curves. In this section we discuss the Chow rings of the moduli spaces of n-pointed genus zero curve This chapter is an essentially expository one which summarizes the major approaches to the construction of moduli spaces of curves and states some of the Knudsen, F. F. (1983). The projectivity of the moduli space of stable curves, II: The stacks Mg,n. MATHEMATICA SCANDINAVICA, 52, 161-199. jective moduli space for stable curves of genus g 2 using Mumford's geometric invariant theory. The general plan of the notes is as follows: Chapter 0 consists The moduli space Mg of stable curves is one of the most heavily studied varieties in algebraic geometry. It has a very well behaved geometry: it is integral 106 Moduli of Curves. Expand allCollapse all. Section 106.1: Introduction. Section 106.2: Conventions and abuse of language. Section 106.3: The stack of Moduli spaces such as the moduli of elliptic curves (which we discuss below) play a central role in a variety of areas that have no immediate link to the geometry Tautological cohomology classes on moduli spaces of curves, and their tailed discussion of moduli of curves, see Harris and Morrison's COMPOSITIO MATHEMATICA. ENRICO ARBARELLO. Weierstrass points and moduli of curves. Compositio Mathematica, tome 29, no 3 (1974), p. 325-342. These notes will try to introduce the reader to a range of questions dealing with the birational geometry of moduli spaces of pointed sta- ble curves (and

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