1 citations · 2 across the 8 of their papers we have counts for
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Torsors under the universal Jacobian over
Qixiao Ma
We consider the universal family of smooth genus- curves over . We show that for , every torsor under the relative Jacobian is isomorphic to a connected comp…
Torsors of the Jacobians of the universal Fermat curves
Qixiao Ma
Let be an integer. We show that every torsor of the Jacobian of the universal family of degree- Fermat curve is necessarily a connected component of the Picard scheme.…
Rational Points on Generic Marked Hypersurfaces
Qixiao Ma
Over fields of characteristic zero, we show that for or or , the generic -marked degree- hypersurface in admits…
Bounding the number of graph refinements for Brill-Noether existence
Karl Christ, Qixiao Ma
Let be a finite graph of genus . Let and be non-negative integers such that the Brill-Noether number is non-negative. It is known that for some sufficiently larg…
Brauer class over the Picard scheme of totally degenerate stable curves
Qixiao Ma
We study the Brauer class rising from the obstruction to the existence of tautological line bundles on the Picard scheme of curves. We determine the period and index of the Brauer…
Conics associated with totally degenerate curves
Qixiao Ma
Let be a field. Let be a stable curve whose geometric irreducible components are smooth rational curves. Taking Stein factorization of its normalization, we get a conic.…
Closed points on cubic hypersurfaces
Qixiao Ma
We generalize some results of Coray on closed points on cubic hypersurfaces. We show certain symmetric products of cubic hypersurfaces are stably birational.
Some properties of a Brauer class
Qixiao Ma
Let be a smooth proper curve defined over a field . The representability of the relative Picard functor is obstructed by a class . We sh…