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.
Speaker: 
Yu Yasufuku
The City University of New York
Event Location: 
Fine Hall 322