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math.AG2020
The intrinsic topology of linear maps
Quan Xu
Based on many experts' former work in the Jacobian conjecture and an essential analysis of intrinsic topology of linear maps, I completely prove the Jacobian conjecture by demonstr…
math.AG2019★ 2 cited
A minimax principle to the injectivity of the Jacobian conjecture
Wei Liu, Quan Xu
The main result of this paper is to prove some type of Real Jacobian Conjecture. It is proved by the Minimax Principle and asserts if the eigenvalues of are bounded from ze…
math.AG2018
The Deligne pairing and a functorial Riemann Roch theorem in positive characteristic
Quan Xu
In this paper, we prove the functorial Riemann-Roch theorem in positive characteristic for a smooth and projective morphism with any relative dimension. In the case of relative dim…