We will present many strong partial results towards a classification of exceptional
planar/PN monomial functions on finite fields. The techniques we use are the Weil bound,
Bézout’s theorem, and Bertini’s theorem.
Galindo Pastor, Carlos; Hernando, Fernando; Monserrat Delpalillo, Francisco José(Cambridge University Press (CUP), 2016)
We give an explicit formula for the log-canonical threshold of a reduced germ of plane curve. The formula depends only on the first two maximal contact values of the branches and their intersection multiplicities. We also ...