@MISC{PENCIL_4.MIZ,
  AUTHOR = {Naumowicz, Adam},
  TITLE = {Spaces of Pencils, {G}rassmann Spaces, and Generalized {V}eronese Spaces},
  NOTE = {This work has been partially supported by the KBN grant
  4 T11C 039 24 and the FP6 IST grant TYPES No. 510096.},
  SECTION1 = {Spaces of $k$-Pencils},
  SECTION2 = {Grassmann Spaces},
  SECTION3 = {Veronese Spaces},
  DAY = {08},
  MONTH = {November},
  YEAR = {2004},
  ADDRESS1 = {University of Bia{\l}ystok},
  SUMMARY = {In this paper we construct several examples of partial linear
 spaces. First, we define two algebraic structures, namely the spaces of
 $k$-pencils and Grassmann spaces for vector spaces over an arbitrary field.
 Then we introduce the notion of generalized Veronese spaces following the
 definition presented in the paper \cite{ANKPRM} by Naumowicz and Pra\.zmowski.
 For all spaces defined, we state the conditions under which they are not
 degenerated to a single line.}}

