2018/12/26 by Gangopadhyay, Chandranandan
#Algebraic Geometry (math.AG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1812.10446
Let k be an algebraically closed field of characteristic zero. Let S be a smooth projective variety over k and let pS:X→ S be a family of smooth projective curves over S. Let E be a vector bundle over X. For s∈ S let Xs be the fibre of pS over s and let Es be the restriction of E to Xs. Fix d≥ 1. Let \mathcal Q(E,d)→ S be the relative Quot scheme parameterizing torsion quotients of Es over Xs of degree d for all s∈ S. In this article we compute the identity component of relative automorphism group scheme which parameterizes automorphisms of \mathcal Q(E,d) over S.