arXiv subjects

Gustavo Menani

Publications and source records attributed to Gustavo Menani.

2 recordsLinked to original sources

arXiv2026

On Buzzard's Theoren

Over any infinite field we prove existence of polynomial automorphism with prescribed differentials at points. More precisely, let $\K$ be an infinite field and $a_1,\ldots, a_k;$ $b_1,\ldots , b_k$ be two sequences of different points in~$\K^n$, $n\ge 2$. For any sequence $L_1,\ldots, L_k\in SL(n,\K)$ there exists a polynomial automorphism $\Phi: \K^n\to \K^n$ with jacobian one such that $\Phi(a_i)=b_i$ and $d_{a_i} \Phi= L_i$ for $i=1,\ldots, k.$

math.NT↗

arXiv2026

Lipschitz embeddings of algebraic curves

We show that inner Lipschitz classification of real algebraic curves is equivalent to outer Lipschitz classification in $\mathbb{R}^3$ of real algebraic curves with LNE connected components. Moreover, for every real affine algebraic curve we find its LNE model which is real birational to it. Lastly, we show that this claim does not hold in the complex category.

math.AG↗