Witt Groups of P1
Sarrage Mouhamad
Laboratory of Mathematics and its Applications LaMA-Lebanon, Lebanese University, Lebanon.
Khalil Houssam
Laboratory of Mathematics and its Applications LaMA-Lebanon, Lebanese University, Lebanon.
Hossein Mouhamad *
Laboratory of Mathematics and its Applications LaMA-Lebanon, Lebanese University, Lebanon.
Ezzaldine Hayssam
Laboratory of Mathematics and its Applications LaMA-Lebanon, Lebanese University, Lebanon.
*Author to whom correspondence should be addressed.
Abstract
In this paper we calculate the Witt groups of P1. It's a known result, but we calculate it by another method: we use the localisation theorem of Balmer and the excision theorem of S. Gille.
Keywords: Witt group, toric variety, line bundle, ltration, divisor