COMPACTIFIED PICARD STACKS OVER Mg

نویسنده

  • MARGARIDA MELO
چکیده

We study algebraic (Artin) stacks over Mg giving a functorial way of compactifying the relative degree d Picard variety for families of stable curves. We also describe for every d the locus of genus g stable curves over which we get Deligne-Mumford stacks strongly representable over Mg.

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

Compactified Picard Stacks over the Moduli Stack of Stable Curves with Marked Points

In this paper we give a construction of algebraic (Artin) stacks Pd,g,n endowed with a modular map onto the moduli stack of pointed stable curves Mg,n, for g ≥ 3. The stacks Pd,g,n are smooth, irreducible and have dimension 4g − 3+n. They yield a geometrically meaningful compactification of the degree d universal Picard stack over Mg,n, parametrizing n-pointed smooth curves together with a degr...

متن کامل

Néron models and compactified Picard schemes over the moduli stack of stable curves

We construct modular Deligne-Mumford stacks Pd,g representable over Mg parametrizing Néron models of Jacobians as follows. Let B be a smooth curve andK its function field, let XK be a smooth genus-g curve over K admitting stable minimal model over B. The Néron model N(Pic XK) → B is then the base change of Pd,g via the moduli map B −→ Mg of f , i.e.: N(Pic XK) ∼= Pd,g ×Mg B. Moreover Pd,g is co...

متن کامل

NÉRON MODELS AND COMPACTIFIED PICARD SCHEMES OVER THE MODULI STACK OF STABLE CURVES By LUCIA CAPORASO

We construct modular Deligne-Mumford stacks Pd,g representable over Mg parametrizing Néron models of Jacobians as follows. Let B be a smooth curve and K its function field, let XK be a smooth genus-g curve over K admitting stable minimal model over B. The Néron model N(PicXK ) → B is then the base change of Pd,g via the moduli map B −→ Mg of f , i.e.: N(PicXK ) ∼= Pd,g ×Mg B. Moreover Pd,g is c...

متن کامل

Moduli of Elliptic Curves via Twisted Stable Maps

Abramovich, Corti and Vistoli have studied modular compactifications of stacks of curves equipped with abelian level structures arising as substacks of the stack of twisted stable maps into the classifying stack of a finite group, provided the order of the group is invertible on the base scheme. Recently Abramovich, Olsson and Vistoli extended the notion of twisted stable maps to allow arbitrar...

متن کامل

Relative Geometric Invariant Theory and Universal Moduli Spaces

We expose in detail the principle that the relative geomet-ric invariant theory of equivariant morphisms is related to the GIT forlinearizations near the boundary of the G-effective ample cone. We thenapply this principle to construct and reconstruct various universal mod-uli spaces. In particular, we constructed the universal moduli spaceover Mg of Simpson’s p-semistable co...

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 2008