Moduli of curves as moduli of A∞-structures
نویسندگان
چکیده
منابع مشابه
Moduli of Elliptic Curves
The purpose of these notes is to provide a quick introduction to the moduli of elliptic curves. There are many excellent and thorough references on the subject, ranging from the slightly archaic [Igu59] and [Shi94] to the more difficult [KM85] and [DR73]. Brian’s forthcoming book on the Ramanujan conjecture also covers some of this material and includes a careful comparison of the transcendenta...
متن کاملMODULI SPACES OF CURVES WITH EFFECTIVE r-SPIN STRUCTURES
We introduce the moduli stack of pointed curves equipped with effective r-spin structures: these are effective divisors D such that rD is a canonical divisor modified at marked points. We prove that this moduli space is smooth and describe its connected components. We also prove that it always contains a component that projects birationally to the locus S in the moduli space of r-spin curves co...
متن کاملModuli of Curves and Spin Structures via Algebraic Geometry
Here we investigate some birational properties of two collections of moduli spaces, namely moduli spaces of (pointed) stable curves and of (pointed) spin curves. In particular, we focus on vanishings of Hodge numbers of type (p, 0) and on computations of the Kodaira dimension. Our methods are purely algebro-geometric and rely on an induction argument on the number of marked points and the genus...
متن کاملSingular Moduli of Shimura Curves
The j-function acts as a parametrization of the classical modular curve. Its values at complex multiplication (CM) points are called singular moduli and are algebraic integers. A Shimura curve is a generalization of the modular curve and, if the Shimura curve has genus 0, a rational parameterizing function exists and when evaluated at a CM point is again algebraic over Q. This paper shows that ...
متن کاملModuli of Twisted Spin Curves
In this note we give a new, natural construction of a compactification of the stack of smooth r-spin curves, which we call the stack of stable twisted r-spin curves. This stack is identified with a special case of a stack of twisted stable maps of Abramovich and Vistoli. Realizations in terms of admissible Gm-spaces and Q-line bundles are given as well. The infinitesimal structure of this stack...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Duke Mathematical Journal
سال: 2017
ISSN: 0012-7094
DOI: 10.1215/00127094-2017-0019