Geodesic
Polarized Relations on Horizontal $\operatorname{SL}(2)$'s
Documenta mathematica, Tome 24 (2019), pp. 1295-1360
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We introduce a relation on real conjugacy classes of SL(2)-orbits in a Mumford-Tate domain D. The relation answers the question when is one R-split polarized mixed Hodge structure more singular/degenerate than another?. The relation is compatible with natural partial orders on the sets of nilpotent orbits in the corresponding Lie algebra and boundary orbits in the compact dual.
DOI : 10.4171/dm/705
Classification : 14D07, 14M17, 17B45, 32G20, 32M10
Mots-clés : mirror symmetry, degeneration of Hodge structure, Mumford-Tate domain, boundary component, nilpotent orbit, SL(2)-orbit 
@article{10_4171_dm_705,
     author = {Matt Kerr and Gregory J. Pearlstein and Colleen Robles},
     title = {Polarized {Relations} on {Horizontal} $\operatorname{SL}(2)$'s},
     journal = {Documenta mathematica},
     pages = {1295--1360},
     year = {2019},
     volume = {24},
     doi = {10.4171/dm/705},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/705/}
}
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Matt Kerr; Gregory J. Pearlstein; Colleen Robles. Polarized Relations on Horizontal $\operatorname{SL}(2)$'s. Documenta mathematica, Tome 24 (2019), pp. 1295-1360. doi: 10.4171/dm/705

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