The main numerical invariants of a complex algebraic surface —are the self-intersection of its canonical class and its holomorphic Euler characteristic . If we assume—to be minimal and of general type then by Noether’s inequality. Minimal algebraic surfaces of general type — such that   or   are called Horikawa surfaces and most of them admit a canonical -action. In this talk we will discuss other possible group actions on Horikawa surfaces. In particular, -actions and -actions will be studied. One of the by-products of studying group actions on Horikawa surfaces is a better understanding of their group of automorphisms.

In addition, consequences on the moduli spaces of stable Horikawa surfaces  will follow from the results presented.

Link: https://nationaltaiwanuniversity-ksz.my.webex.com/nationaltaiwanuniversity-ksz.my/j.php?MTID=m05f88c70cd7ca20c88aa909b935d5291

 

Meeting number (access code): 2511 171 4784

Meeting password: rDyefRWm292