34 citations · 131 across the 31 of their papers we have counts for
31 papers
Separable rational connectedness and weak approximation in positive characteristic
Jason Michael Starr, Zhiyu Tian
In this short note we give a characterization of smooth projective varieties of Picard number one that are separably uniruled but not separably rationally connected. We also give a…
Weak approximation for Fano complete intersections in positive characteristic
Jason Michael Starr, Zhiyu Tian, Runhong Zong
For a smooth curve over an algebraically closed field , for every -flat complete intersection in of type …
Symplectic invariance of rational surfaces on Kähler manifolds
Jason Michael Starr
Kollar and Ruan proved symplectic deformation invariance for uniruledness of Kaehler manifolds. Zhiyu Tian proved the same for rational connectedness in dimension < 4. Kollar conje…
Picard schemes of acyclic schemes
Jason Michael Starr
In his work extending rational simple connectedness to schemes with higher Picard rank, Yi Zhu introduced hypotheses for schemes insuring that the relative Picard functor is repres…
Intersection Sheaves for Abel maps
Jason Michael Starr
Intersection sheaves, i.e., the Deligne pairing, were first introduced by Deligne in the setting of Poincare duality for etale cohomology, and later in his work on the determinant…
Rationally simply connected varieties and pseudo algebraically closed fields
Jason Michael Starr
The cohomological dimension of a field is the largest degree with non-vanishing Galois cohomology. Serre's "Conjecture II" predicts that for every perfect field of cohomological di…