CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
capítulos de libros
Título:
Symmetries of Polarized Mixed Hodge Structures
Autor/es:
A. KAPLAN
Libro:
Recent Advances in Hodge Theory
Editorial:
Cambridge University Press
Referencias:
Lugar: Cambridge; Año: 2016; p. 78 - 86
Resumen:
Inthis article we describe some symmetry groups of the space of graded polarizedmixed Hodge structures of given Hodge numbers and apply them to describe theinvariance of a natural mixed Hodge metric on that space. Some of it is part ofa 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-Tatedomains 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 andencouragement to have them published. The results here also relate to those ofHertling on classifying spaces of polarized mixed Hodge structures and ofBrieskorn lattices [H][HS], and also to that of Kato, Nakayama and Usui [KNU][U]on SL2-orbits.
