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math.CO2012★ 32 cited
Improved bounds for incidences between points and circles
Micha Sharir, Adam Sheffer, Joshua Zahl
We establish an improved upper bound for the number of incidences between m points and n circles in three dimensions. The previous best known bound, originally established for the…
math.CO2012★ 32 cited
A Szemeredi-Trotter type theorem in
Joshua Zahl
We show that points and two-dimensional algebraic surfaces in can have at most incidences, provided that the…