Moduli of Roots of Line Bundles on Curves

نویسندگان

  • LUCIA CAPORASO
  • CINZIA CASAGRANDE
  • MAURIZIO CORNALBA
چکیده

We treat the problem of completing the moduli space for roots of line bundles on curves. Special attention is devoted to higher spin curves within the universal Picard scheme. Two new different constructions, both using line bundles on nodal curves as boundary points, are carried out and compared with pre-existing ones.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Towards an enumerative geometry of the moduli space of twisted curves and rth roots

The enumerative geometry of rth roots of line bundles is the subject of Witten’s conjecture and occurs in the calculation of Gromov–Witten invariants of orbifolds. It requires the definition of the suitable compact moduli stack and the generalization of the standard techniques from the theory of moduli of stable curves. In [Ch2], we construct a compact stack by describing the notion of stabilit...

متن کامل

On the Logarithmic Connections over Curves

We study two different actions on the moduli spaces of logarithmic connections over smooth complex projective curves. Firstly, we establish a dictionary between logarithmic orbifold connections and parabolic logarithmic connections over the quotient curve. Secondly, we prove that fixed points on the moduli space of connections under the action of finite order line bundles are exactly the push-f...

متن کامل

Lectures on Principal Bundles

The aim of these lectures is to give a brief introduction to principal bundles on algebraic curves towards the construction of the moduli spaces of semistable principal bundles. The first lecture develops the basic machinery on principal bundles, their automorphisms. At the end of the first chapter, we give a proof of theorem of Grothendieck on orthogonal bundles. The second chapter, after deve...

متن کامل

A Formula for Euler Characteristics of Tautological Line Bundles on the Deligne-mumford Moduli Spaces

We compute holomorphic Euler characteristics of the line bundles ⊗n i=1 L ⊗di i over the moduli space M0,n of stable n-pointed curves of genus 0, where Li is the holomorphic line bundle over M0,n formed by the cotangent lines at the i-th marked point. §

متن کامل

Small rational curves on the moduli space of stable bundles

For a smooth projective curve C with genus g ≥ 2 and a degree 1 line bundle L on C, let M := SUC(r,L) be the moduli space of stable vector bundles of rank r over C with the fixed determinant L. In this paper, we study the small rational curves on M and estimate the codimension of the locus of the small rational curves. In particular, we determine all small rational curves when r = 3.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2007