@InProceedings{dvir_et_al:LIPIcs.SOCG.2015.584, author = {Dvir, Zeev and Gopi, Sivakanth}, title = {{On the Number of Rich Lines in Truly High Dimensional Sets}}, booktitle = {31st International Symposium on Computational Geometry (SoCG 2015)}, pages = {584--598}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-939897-83-5}, ISSN = {1868-8969}, year = {2015}, volume = {34}, editor = {Arge, Lars and Pach, J\'{a}nos}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SOCG.2015.584}, URN = {urn:nbn:de:0030-drops-51110}, doi = {10.4230/LIPIcs.SOCG.2015.584}, annote = {Keywords: Incidences, Combinatorial Geometry, Designs, Polynomial Method, Additive Combinatorics} }