We review recent work on the compactification of the moduli space of Hitchin’s self-duality equation. We study the degeneration behavior near the ends of this moduli space in a set of generic directions by showing how limiting configurations can be desingularized. Following ideas of Hitchin, we can relate the top boundary stratum of this space of limiting configurations to a Prym variety. A key role is played by the family of rotationally symmetric solutions to the self-duality equation on , which we discuss in detail here.
@article{TSG_2012-2014__31__91_0, author = {Rafe Mazzeo and Jan Swoboda and Hartmut Wei{\ss} and Frederik Witt}, title = {Limiting configurations for solutions of {Hitchin{\textquoteright}s} equation}, journal = {S\'eminaire de th\'eorie spectrale et g\'eom\'etrie}, pages = {91--116}, publisher = {Institut Fourier}, address = {Grenoble}, volume = {31}, year = {2012-2014}, doi = {10.5802/tsg.296}, language = {en}, url = {https://proceedings.centre-mersenne.org/articles/10.5802/tsg.296/} }
TY - JOUR AU - Rafe Mazzeo AU - Jan Swoboda AU - Hartmut Weiß AU - Frederik Witt TI - Limiting configurations for solutions of Hitchin’s equation JO - Séminaire de théorie spectrale et géométrie PY - 2012-2014 SP - 91 EP - 116 VL - 31 PB - Institut Fourier PP - Grenoble UR - https://proceedings.centre-mersenne.org/articles/10.5802/tsg.296/ DO - 10.5802/tsg.296 LA - en ID - TSG_2012-2014__31__91_0 ER -
%0 Journal Article %A Rafe Mazzeo %A Jan Swoboda %A Hartmut Weiß %A Frederik Witt %T Limiting configurations for solutions of Hitchin’s equation %J Séminaire de théorie spectrale et géométrie %D 2012-2014 %P 91-116 %V 31 %I Institut Fourier %C Grenoble %U https://proceedings.centre-mersenne.org/articles/10.5802/tsg.296/ %R 10.5802/tsg.296 %G en %F TSG_2012-2014__31__91_0
Rafe Mazzeo; Jan Swoboda; Hartmut Weiß; Frederik Witt. Limiting configurations for solutions of Hitchin’s equation. Séminaire de théorie spectrale et géométrie, Volume 31 (2012-2014), pp. 91-116. doi : 10.5802/tsg.296. https://proceedings.centre-mersenne.org/articles/10.5802/tsg.296/
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