Vojta's conjecture on Blowups and GCD Inequalities

Tuesday, February 17, 2009 -
4:30pm to 6:30pm
Vojta's conjecture is a deep conjecture in Diophantine geometry, implying for example the Bombieri-Lang conjecture and the abc conjecture. In this talk, I will show some cases of the conjecture for blowup varieties. As a consequence, we derive some interesting inequalities of greatest common divisors. An important ingredient will be Schmidt's subspace theorem, both directly and indirectly through the results of Corvaja and Zannier.
Yu Yasufuku
The City University of New York
Event Location: 
Fine Hall 322