相关论文: On the Bass-Quillen Conjecture and Swan's question

We give a new proof of some cases of the Baum-Connes conjecture along the lines of a proof of the Farrell-Jones conjecture.

We provide new sufficient conditions under which Ryser's conjecture holds.

We show that it is consistent that the Borel Conjecture and the dual Borel Conjecture hold simultaneously.

We settle in the affirmative the Graham-Sloane conjecture.

The article presents the proof of Casas-Alvero conjecture.

This paper will be concerned with proving that certain Whitehead groups of torsion-free elementary amenable groups are torsion groups and related results, and then applying these results to the Bass conjecture. In particular we shall…

In this paper, we prove a conjecture of Schnell in the surface case.

We give an alternative proof for the equivalence of two definitions of the totally positive grassmannian.

We introduce a new criterion which if satisfied implies the Riemann hypothesis.

We show that the Jacobian conjecture of the two dimensional case is true.

We prove that the Bost Conjecture on the $\ell^1$-assembly map for countable discrete groups implies the Bass Conjecture. It follows that all amenable groups satisfy the Bass Conjecture.

Several results about the union-closed sets conjecture are presented.

In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.

In this paper, we obtained an equivalent proposition of Brennan`s conjecture. And given two lower bound estimation of the conjecture one of them connected with Schwarzian derivative. The present study also verified the correctness of the…

We formulate and discuss a conjecture which would extend a classical inequality of Bernstein.

We give a new proof of the Mordell-Lang conjecture in positive characteristic for finitely generated subgroups. We also make some progress towards the full Mordell-Lang conjecture in positive characteristic.

We prove a Riemannian positive mass theorem for manifolds with a single asymptotically flat end, but otherwise arbitrary other ends, which can be incomplete and contain negative scalar curvature. The incompleteness and negativity is…

We observe what the canonical bundle formula gives towards a conjecture of Schnell on algebraic fiber spaces, a question concerning the equivalence between the non-vanishing conjecture and the Campana--Peternell conjecture. As a result, we…

This is a survey on Kawaguchi-Silverman conjecture.

We prove Union-Closed sets conjecture.