L. Dias

activity

20212024

most citedLipschitz normally embedded set and tangent cones at infinity

7 citations · 7 across the 4 of their papers we have counts for

collaborators

4 papers

math.GT2024

Tangent cones at infinity

Luis Renato Gonçalves Dias, Nilva Rodrigues Ribeiro

Let $X \subset C^{m}$ be an unbounded pure $k$ -dimensional algebraic set. We define the tangent cones $C_{4, \infty} (X)$ and $C_{5, \infty} (X)$ of $X$ at infinity. We establish…

math.AG2024

Symmetry defect of $n$ -dimensional complete intersections in $C^{2 n - 1}$

L. R. G. Dias, Z. Jelonek

Let $X, Y \subset C^{2 n - 1}$ be $n$ -dimensional strong complete intersections in a general position. In this note, we consider the set of midpoints of chords connecting a p…

math.AG2022

Generic symmetry defect set of an algebraic curve

L. R. G. Dias, M. Farnik, Z. Jelonek

Let $X \subset C^{2 n}$ be an $n$ -dimensional algebraic variety. We define the algebraic version of the generic symmetry defect set (Wigner caustic) of $X$ . Moreover, we co…

math.CV2021★ 7 cited

Lipschitz normally embedded set and tangent cones at infinity

L. R. G. Dias, N. R. Ribeiro

We prove that any analytic set in $\C^n$ with a unique tangent cone at infinity is an algebraic set. We prove that the degree of a complex algebraic set in $\C^n$, which is Lipschi…

Tangent cones at infinity

Symmetry defect of n-dimensional complete intersections in C2n−1

Generic symmetry defect set of an algebraic curve

Lipschitz normally embedded set and tangent cones at infinity

Symmetry defect of $n$ -dimensional complete intersections in $C^{2 n - 1}$