45 citations · 309 across the 42 of their papers we have counts for
46 papers
Abelian varieties are not quotients of low-dimension Jacobians
Jacob Tsimerman
We prove that for any two integers and , there exist abelian varieties over which are not quotients of a Jacobian of dimension .…
Finite Orbits in Surfaces with a Double Elliptic Fibration and Torsion Values of Sections
Pietro Corvaja, Jacob Tsimerman, Umberto Zannier
We consider surfaces with a double elliptic fibration, with two sections. We study the orbits under the induced translation automorphisms proving that, under natural conditions, th…
Functional Transcendence of Periods and the Geometric André--Grothendieck Period Conjecture
Ben Bakker, Jacob Tsimerman
We prove a functional transcendence theorem for the integrals of algebraic forms in families of algebraic varieties. This allows us to prove a geometric version of André's generali…
Ax-Schanuel and exceptional integrability
Jonathan Pila, Jacob Tsimerman
When can a primitive of a given algebraic function be con-structed by iteratively solving algebraic equations and composing withthe primitives of some other given algebraic functio…
Non-trivial bounds on 2, 3, 4, and 5-torsion in class groups of number fields, conditional on standard -function conjectures
Arul Shankar, Jacob Tsimerman
We prove new conditional bounds on the the -torsion of class groups of number fields of any fixed degree, for , , , and . Our methods first recast the problem in t…
Finiteness for self-dual classes in integral variations of Hodge structure
Benjamin Bakker, Thomas W. Grimm, Christian Schnell +1
We generalize the finiteness theorem for the locus of Hodge classes with fixed self-intersection number, due to Cattani, Deligne, and Kaplan, from Hodge classes to self-dual classe…