Jacobians, Anti-Affine Teams and Torsion Points

Amith Shastri K.
Assistant Professor ,School of Arts and Sciences and
Faculty of Computing and Facts Science
About Creator:
Amith has 8 several years of study knowledge in Mathematics and has worked throughout the domain which includes algebraic geometry and group principle. Amith has done PhD from TIFR, Mumbai. He has two publications, Character on a homogeneous area and Jacobians, anti-affine teams and torsion points.
He commenced his profession with TIFR as investigation scholar. Subsequently, he joined CMI in Siruseri as a postdoc in advance of becoming a member of Sai College. Even though pursuing his Ph D, he has tutored in AFS and ATM universities and has taught undergraduates and graduate learners throughout his postdoc at CMI.
Abstract :
We give a criterion for the Jacobian of a singular curve X with at most ordinary n-stage singularities to be anti-affine. In certain, for the case of curves with single normal double issue we show a relation with torsion divisors. If the geometric genus of the singular curve is atleast 3 and the normalization is non-hyperelliptic and non-bielliptic, then other than for finitely several instances the Jacobian of X is anti-affine. On top of that, if the normalization is a standard curve of genus atleast 3 then the Jacobian of X is generally anti-affine.