Timeline for Question on Ball Quotients

11 events

when toggle format	what		by	license	comment
Jul 30, 2012 at 21:49	history	edited	kla	CC BY-SA 3.0	deleted 61 characters in body; edited tags
Jul 30, 2012 at 6:57	vote	accept	kla
Jul 29, 2012 at 21:14	comment	added	kla		@inkspot Thanks. Very good point! No, I assume the torus $T$ is a symplectic submanifold of $X$.
Jul 29, 2012 at 19:47	comment	added	inkspot		Do you mean "complex torus, embedded holomorphically"? Then no, from looking at the universal covers: every holomorphic map from $\mathbb C$ to a complex ball is constant.
Jul 29, 2012 at 16:55	comment	added	Peter Dalakov		In a different vein, when people study the birational classification of <i>non-compact</i> ball quotients, they often use "toroidal compactifications", i.e. compactify $B/\Gamma$ by adjoining elliptic curves.
Jul 29, 2012 at 15:48	answer	added	Misha		timeline score: 7
Jul 29, 2012 at 15:19	history	edited	kla	CC BY-SA 3.0	deleted 3 characters in body
Jul 29, 2012 at 14:08	comment	added	kla		Yes, I assume $X$ is compact. The torus $T$ is a submanifold of $X$, and I consider the subgroup of $\pi_{1}(X)$ generated by the loops on $T$.
Jul 29, 2012 at 14:05	history	edited	kla	CC BY-SA 3.0	added 37 characters in body
Jul 29, 2012 at 13:04	history	edited	kla	CC BY-SA 3.0	deleted 5 characters in body; edited tags; edited tags
Jul 29, 2012 at 12:10	history	asked	kla	CC BY-SA 3.0