相关论文: A new proof of the Abhyankar-Moh-Suzuki Theorem

We extract the Abhyankar-Moh-Suzuki theorem from the Lin-Zaidenberg theorem.

In this note we give a detailed proof of a theorem of Aubin.

The aim of this article is to give a new proof of Cohen-Gabber theorem in the equal characteristic $p>0$ case.

In this short note a new proof of the monotone con- vergence theorem of Lebesgue integral on \sigma-class is given.

We study distribution of zeros of a complex polynomial whose coefficients has been modified. We give a new proof of the theorem of Rubinstein, and with similar method we prove a new theorem that is not generalization of the previous…

We prove an infinitary version of the Brauer-Schur theorem.

In this note we obtain a new convergence result for the Adomian decomposition method.

In this note, we prove the coherence of Frobenius stable direct images in a new case. We also show a generation theorem regarding to it. Furthermore, we prove a corresponding theorem in characteristic zero.

This note is an exposition of the proof of Thom's conjecture by Kronheimer and Mrowka, using the new Seiberg-Witten invariants.

We prove the geometric Bogomolov conjecture over a function field of characteristic zero.

In this note we provide a new proof of the Tikhonov theorem for the infinite time interval and discuss some of its applications.

I expound here in a more detailed way a proof of an important Serini's theorem, which I have already sketched in a previous Note. Two related questions are briefly discussed.

We give a new, elementary proof of the celebrated Herzog-Hibi-Zheng theorem on powers of quadratic monomial ideals.

The note contains the proof of the uniqueness theorem for the inverse problem in the case of $n$-th order differential equation.

We prove Marchenko-type uniqueness theorems for inverse Sturm-Liouville problems. Moreover, we prove a generalization of Ambarzumyans theorem.

We prove a purity theorem for abelian schemes in arbitrary unramified mixed characteristic (0,p). The case p=2 is completely new and the case p>2 fixes several errors in the literature.

In this paper we prove a finiteness result concerning the Chow group of zero-cycles for varieties over $p$-adic local fields. In this final version, there are several corrections concerning mathematical symbols and reference to related…

We prove two theorems on cohomologically complete complexes. These theorems are inspired by, and yield an alternative proof of, a recent theorem of P. Schenzel on complete modules.

We present a short new proof of Cobham's theorem without using Kronecker's approximation theorem, making it suitable for generalization beyond automatic sequences.

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