The universal theta divisor over the moduli space of curves
نویسندگان
چکیده
منابع مشابه
The Moduli Space of Abelian Varieties and the Singularities of the Theta Divisor
The object of study here is the singular locus of the theta divisor Θ of a principally polarized abelian variety (X,Θ). The special case when (X,Θ) is the Jacobian of a curve C shows that this is meaningful: singularities of Θ are closely related to the existence of special linear systems on the curve C and for curves of genus g ≥ 4 the divisor Θ is always singular. But for the general principa...
متن کاملA Compactification of the Universal Picard Variety over the Moduli Space of Stable Curves
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your perso...
متن کاملThe Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves
We construct the Hilbert compactification of the universal moduli space of semistable vector bundles over smooth curves. The Hilbert compactification is the GIT quotient of some open part of an appropriate Hilbert scheme of curves in a Graßmannian. It has all the properties asked for by Teixidor.
متن کاملThe Moduli Space of Curves
In this section, we will give a sketch of the construction of the moduli space Mg of curves of genus g and the closely related moduli space Mg,n of n-pointed curves of genus g using two different approaches. Throughout this section we always assume that 2g − 2 + n > 0. In the first approach, we will embed curves in a projective space P using a sufficiently high power n of their dualizing sheaf....
متن کاملA COMPACfIFICATION OF mE UNIVERSAL PICARD VARIETY OVER mE MODULI SPACE OF STABLE CURVES
0.1. Statement of the problem. In this paper we construct a geometrically meaningful compactification for the relative degreed Picard variety associated to a family of stable curves. More precisely, let 1/ -+ B be a (proper and flat) family of stable curves of genus g and let f,,/B -+ B be the corresponding family of Jacobians; we want to answer the following question: does there exist a compac...
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: Journal de Mathématiques Pures et Appliquées
سال: 2013
ISSN: 0021-7824
DOI: 10.1016/j.matpur.2013.01.014