Towards a Dynamical Manin–Mumford Conjecture
By Dragos Ghioca, T. Tucker, Shou-wu Zhang. 2011
68 citations recorded by the source corpus.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/c3191acfd288abfa0d659cbeaea0a2da4f3becf3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Geometry and Topology
- Laura Demarco
- T. Tucker
- Robert L. Benedetto
- Joseph H. Silverman
- Matthew Baker
- Patrick Ingram
- Michelle Manes
- Rafe Jones
In Mathematical Physics
- T. Tucker
- Robert L. Benedetto
- Laura Demarco
- Matthew Baker
- Michelle Manes
- Rafe Jones
- Xinyi Yuan
- Joseph H. Silverman
Citations in the corpus
- The arithmetic Hodge index theorem for adelic line bundles (2013, background): “preperiodic under f if and only if the set Y(K)∩Prep(f) is Zariski dense in Y. Recently, Ghioca and Tucker found the following counter-example of this conjecture: Proposition 3.16 (Ghocia and Tucker, [GTZ]). Let E be an elliptic curve with complex multiplication by an order R in imaginary quadratic ”
- SPECIAL CURVES AND POSTCRITICALLY FINITE POLYNOMIALS (2012, background): “iants of CM elliptic curves must be either horizontal, vertical, or a modular curve X 0(N). Ghioca, Tucker, and Zhang have put forth some conjectural dynamical analogs of the Manin-Mumford conjecture [GTZ]. The main results and conjectures in the present paper can be thought of as dynamical analogs ”
- Current trends and open problems in arithmetic dynamics (2018, background): “(a) (Ghioca–Tucker–Zhang, 2011, [94]) f is a group endomorphism of an abelian variety.”