Cremona group

For example, we still don’t know if it has the structure of an algebraic group of infinite dimension. In this paper, we will construct the Cremona group functor, calculate its Lie algebra and show that its Lie algebra is simple.

11p tamynhan9 02-12-2020 5 1   Download

A natural and simple question asked is: Does the Cremona group Cr(n) admit a structure that is of an algebraic group of infinite dimension. This is still an open question because we don’t know if the set Cr≤d(n) of birational maps of degree ≤ d admits a structure of the algebraic variety.

9p tamynhan8 04-11-2020 10 1   Download

Let k be an algebraically closed field of characteristic 0. We show that any set of generators of the Cremona group Crk(n) of the projective space P n k with n greater than 2 contains an infinite and uncountable number of non trivial birational isomorphisms.

5p koxih_kothogmih5 04-09-2020 12 2   Download