Asymptotics of degenerations of mixed Hodge structures Academic Article

abstract

• 2014 Elsevier Inc. We construct a hermitian metric on the classifying spaces of graded-polarized mixed Hodge structures and prove analogs of the strong distance estimate [6] between an admissible period map and the approximating nilpotent orbit. We also consider the asymptotic behavior of the biextension metric introduced by Hain [12], analogs of the norm estimates of [19] and the asymptotics of the naive limit Hodge filtration considered in [21].

authors

• Pearlstein, Gregory

published proceedings

• ADVANCES IN MATHEMATICS

altmetric score

• 1

author list (cited authors)

• Hayama, T., & Pearlstein, G.

citation count

• 8

complete list of authors

• Hayama, Tatsuki||Pearlstein, Gregory

publication date

• January 2015

publisher

• Elsevier  Publisher

published in

• Advances in Mathematics  Journal

keywords

• Nilpotent Orbits
• Variations Of Mixed Hodge Structure

Digital Object Identifier (DOI)

• 10.1016/j.aim.2014.12.024

start page

• 380

end page

• 420

volume

• 273

URL

• http://dx.doi.org/10.1016/j.aim.2014.12.024