112 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 3): Table 1
112 LINES ON SMOOTH QUARTIC SURFACES (CHARACTERISTIC 3): Table 1
Over a field k of characteristic 3, we prove that there are no smooth quartic surfaces S in IP^3 with more than 112 lines. Moreover, the surface with 112 lines is projectively equivalent over k-bar to the Fermat quartic. As a key ingredient, we derive a characteristic free upper bound …