CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
Mixed Hodge Metrics
Autor/es:
A. KAPLAN
Revista:
Cambridge University Press Tracts in Mathematics
Editorial:
Cambridge University Press
Referencias:
Año: 2015
ISSN:
978052107
Resumen:
In this article we describe some symmetry groups of the space of graded polarized mixed Hodge structures of given Hodge numbers and apply them to describe the invariance of a natural mixed Hodge metric on that space. Some of it is part of a set of Notes [K] which have been cited [G][HP][P] but never published. G. Pearlstein observed that they could be generalized to other Mumford-Tate domains and used to describe the orbits of the real group at infinity, as in [DFN][GGR][KeP1][KeP2]. I thank him for this observation and for his help and encouragement to have them published. The results here also relate to those of Hertling on classifying spaces of polarized mixed Hodge structures and of Brieskorn lattices [H][HS], and also to that of Kato, Nakayama and Usui [KNU][U] on SL2-orbits.
