I intend to start from reminding our, with Rares Rasdeaconu, real version of the Yau-Zaslow formula for the number of complex ones, and then will discuss some asymptotic and arithmetical properties of the lower bounds provided by our formula. In particular, I will discuss
under what assumptions on the surface a certain abundance of real rational curves holds.
Links:
[1] http://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/node/3444
[3] http://www.mpim-bonn.mpg.de/node/5968