Unions of lines in F^n
| Autor: | Oberlin, Richard |
|---|---|
| Rok vydání: | 2014 |
| Předmět: | |
| Zdroj: | Mathematika 62 (2016) 738-752 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1112/S0025579315000200 |
| Popis: | We show that if a collection of lines in a vector space over a finite field has "dimension" at least 2(d-1) + beta, then its union has "dimension" at least d + beta. This is the sharp estimate of its type when no structural assumptions are placed on the collection of lines. We also consider some refinements and extensions of the main result, including estimates for unions of k-planes. Comment: small changes for easier reading |
| Databáze: | arXiv |
| Externí odkaz: |
|