A Generalization of the Néron Models of Green, Griffiths and Kerr

نویسندگان

  • Patrick Brosnan
  • Gregory Pearlstein
  • Morihiko Saito
چکیده

We generalize a construction of the Néron model for a family of intermediate Jacobians due to Green, Griffiths and Kerr by using the theory of mixed Hodge modules. It is a topological group defined over any partial compactification of the base space, and it ‘graphs’ admissible normal functions. Moreover, there is a stratification of the partial compactification such that the restriction over each stratum is a complex Lie group over the stratum.

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

A variant of Néron models over curves

We study a variant of the Néron models over curves which has recently been found by the second named author in a more general situation using the theory of Hodge modules. We show that its identity component is a certain open subset of an iterated blow-up along smooth centers of the Zucker extension of the family of intermediate Jacobians and that the total space is a complex Lie group over the ...

متن کامل

COMPOSITIO MATHEMATICA Néron models and limits of Abel–Jacobi mappings

We show that the limit of a one-parameter admissible normal function with no singularities lies in a non-classical sub-object of the limiting intermediate Jacobian. Using this, we construct a Hausdorff slit analytic space, with complex Lie group fibres, which ‘graphs’ such normal functions. For singular normal functions, an extension of the sub-object by a finite group leads to the Néron models...

متن کامل

A pr 2 00 9 Hausdorff property of the Néron models of Green , Griffiths and Kerr

We prove the Hausdorff property of the Néron modle of the family of intermediate Jacobians which is recently defined by Green, Griffiths and Kerr assuming that the divisor at infinity is smooth. Using their result, this implies in this case the analyticity of the closure of the zero locus of an admissible normal function. The last assertion is also obtained by Brosnan and Pearlstein generalizin...

متن کامل

Néron models and limits of Abel-Jacobi mappings

We show that the limit of a 1-parameter admissible normal function with no singularities lies in a non-classical sub-object of the limiting intermediate Jacobian. Using this, we construct a Hausdorff slit-analytic space, with complex Lie group fibres, which “graphs” such normal functions. For singular normal functions, an extension of the sub-object by a finite group leads to the Néron models o...

متن کامل

Complex analytic Néron models for arbitrary families of intermediate Jacobians

Given a family of intermediate Jacobians (for a polarizable variation of integral Hodge structure of odd weight) on a Zariski-open subset of a complex manifold, we construct an analytic space that naturally extends the family. Its two main properties are: (a) the horizontal and holomorphic sections are precisely the admissible normal functions without singularities; (b) the graph of any admissi...

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