A COMPLEX SURFACE OF GENERAL TYPE WITH p(g)=0, K-2=2 AND H-1=Z/4Z

作者：Park Heesang^*; Park Jongil; Shin Dongsoo

来源：Transactions of the American Mathematical Society, 2013, 365(11): 5713-5736.

DOI：10.1090/S0002-9947-2013-05696-6

• Q-Gorenstein smoothing
• rational blow-down surgery
• surface of general type

We construct a new minimal complex surface of general type with p(g) = 0, K-2 = 2 and H-1 = Z/4Z (in fact, pi(alg)(1) = Z/4Z), which settles the existence question for numerical Campedelli surfaces with all possible algebraic fundamental groups. The main techniques involved in the construction are a rational blow-down surgery and a Q-Gorenstein smoothing theory.

• 出版日期2013-11