Related papers: One more proof of the Abhyankar-Moh-Suzuki theorem
This note contains a complete proof of the Abhyankar-Moh-Suzuki theorem (in characteristic zero case).
Using the theory of minimal models of quasi-projective surfaces we give a new proof of the theorem of Lin-Zaidenberg which says that every topologically contractible algebraic curve in the complex affine plane has equation $X^n=Y^m$ in some…
It is discussed that Zeeman's theorem can be directly obtained from Liouville's theorem if we assume sufficient differentiability.
We prove the Aharoni Berger Conjecture
We give a new proof of Chen-Lin result with Li-Zhang method.
In this note we give a detailed proof of a theorem of Aubin.
In this paper we give a complete proof of the Brumer-Stark conjecture over $\mathbf{Z}$.
We present a proof of Moessner's theorem by double induction, using only basic rules of arithmetic. No prerequisite knowledge is assumed. Familiarity with summation is advised.
We provide a new short proof for the Birman--Solomyak theorem for Hilbert--Schmidt operators and give an application to a Schr\"odinger--Poisson system.
This is a continuation of my work on Arithmetic Teichmuller Spaces developed in the present series of papers. In this paper, I show that the Theory of Arithmetic Teichmuller Spaces leads, using Shinichi Mochizuki's rubric, to a proof of the…
We prove a local version of the Mazur-Ulam theorem.
We give a new proof of a theorem of B.M. Bredihin which was originally proved by extending Linnik's solution, via his dispersion method, of a problem of Hardy and Littlewood.
A more detailed derivation of the Heisenberg uncertainty principle from the certainty principle is given.
We give a proof of the Marker-Steinhorn Theorem which fills a gap in previous proofs of the result.
In this paper we give a proof of an index theorem by Bismut. As a consequence we obtain another proof of the Grothendieck-Riemann-Roch theorem in differential cohomology.
We prove an infinitary version of the Brauer-Schur theorem.
The condition of plane polynomial curve to be a line in well-known Abhyankar-Moh Theorem is replaced by weaker ones. A criterion of embedded line is obtained from this strong theorem: Two polynomials can generate the entire polynomial ring…
We prove an extension of the Bourgain-Sarnak-Ziegler theorem and then apply it to bound certain polynomial exponential sums with modular coefficients.
We give a new, elementary proof of the celebrated Herzog-Hibi-Zheng theorem on powers of quadratic monomial ideals.
We prove the analogue of the Heyde theorem for a-adic solenoids.