Geography of Gorenstein stable log surfaces

Abstract

We study the geography of Gorenstein stable log surfaces and prove two inequalities for their invariants: the stable Noether inequality and the $P_2$-inequality. By constructing examples we show that all invariants are realised except possibly some cases where the inequalities become equalities.

25 page, 10 figures; v2: minor changes, to appear in TAMS

References in corpus (2)

• Moduli of varieties of general type
• Pluricanonical maps of stable log surfaces

Cited by in corpus (1)

• Pluricanonical maps of stable log surfaces