Period domain

In mathematics, a period domain is a parameter space for a polarized Hodge structure. They can often be represented as the quotient of a Lie group by a compact subgroup.

See also

• Period mapping

References

• Carlson, James; Müller-Stach, Stefan; Peters, Chris (2003), Period mappings and period domains, Cambridge Studies in Advanced Mathematics, 85, Cambridge University Press, ISBN 978-0-521-81466-9, http://www.cambridge.org/gb/knowledge/isbn/item1169818/?site_locale=en_GB 
• Carlson, James; Griffiths, Phillip (2008), "What is ... a period domain?", Notices of the American Mathematical Society 55 (11): 1418–1419, ISSN 0002-9920, https://www.ams.org/notices/200811/tx081101418p.pdf 
• Griffiths, Phillip; Schmid, Wilfried (1969), "Locally homogeneous complex manifolds", Acta Mathematica 123: 253–302, doi:10.1007/BF02392390, ISSN 0001-5962