45 citations · 145 across the 13 of their papers we have counts for
5 papers · 1 filter
Distinct distances between points and lines
Micha Sharir, Shakhar Smorodinsky, Claudiu Valculescu +1
We show that for points and lines in the real plane, the number of distinct distances between the points and the lines is , as long as $m^{1/2}\le n\le m…
On the number of ordinary conics
Thomas Boys, Claudiu Valculescu, Frank de Zeeuw
We prove a lower bound on the number of ordinary conics determined by a finite point set in . An ordinary conic for a subset of is a conic that is…
Schwartz-Zippel bounds for two-dimensional products
Hossein Nassajian Mojarrad, Thang Pham, Claudiu Valculescu +1
We prove bounds on intersections of algebraic varieties in with Cartesian products of finite sets from , and we point out connections with several clas…
Polynomials vanishing on Cartesian products: The Elekes-Szabó Theorem revisited
Orit E. Raz, Micha Sharir, Frank de Zeeuw
Let be a constant-degree polynomial,and let be finite sets of size . We show that vanishes on at most points of…
Incidence bounds for complex algebraic curves on Cartesian products
József Solymosi, Frank de Zeeuw
We prove bounds on the number of incidences between a set of algebraic curves in and a Cartesian product with finite sets . Simila…