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20152022
most citedProjective classification of jets of surfaces in 3-space

5 citations · 9 across the 5 of their papers we have counts for

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math.DG2022

Axial curvatures for corank 1 singular -manifolds in

Pedro Benedini Riul, Jorge Luiz Deolindo Silva, Raúl Oset Sinha

For singular -manifolds in with a corank 1 singular point at $p\in M^n_{\mbox{sing}}$ we define up to different axial curvatures at , where $l=\min…

math.DG2018★ 1 cited

Cr-invariants for surfaces in 4-space

Jorge Luiz Deolindo Silva

We establish cross-ratio invariants for surfaces in 4-space in an analogous way to Uribe-Vargas's work for surfaces in 3-space. We study the geometric locii of local and multi-loca…

math.DG2017

Binary differential equations at parabolic and umbilical points for -parameter families of surfaces

Jorge Luiz Deolindo Silva, Yutaro Kabata, Toru Ohmoto

We determine local topological types of binary differential equations of asymptotic curves at parabolic and flat umbilical points for generic -parameter families of surfaces in…

math.DG2016★ 3 cited

Projective classification of jets of surfaces in

Jorge Luiz Deolindo Silva, Yutaro Kabata

We are interested in the local extrinsic geometry of smooth surfaces in 4-space, and classify jets of Monge forms by projective transformations according to -types o…

math.DG2015★ 5 cited

Projective classification of jets of surfaces in 3-space

Hiroaki Sano, Yutaro Kabata, Jorge Luiz Deolindo Silva +1

We present a local classification of smooth projective surfaces in 3-space via projective transformations in accordance with singularity types of central projections up to codimens…