Este trabalho trata da classificação geométrica das formas binárias quádricas e cúbicas. Além disto, aplicamos esta classificação ao estudo de máquinas de catástrofes

Este trabalho trata da classificação geométrica das formas binárias quádricas e cúbicas. Além disto, aplicamos esta classificação ao estudo de máquinas de catástrofes

We establish sharp estimates that adapt the polynomial method to arbitrary varieties. These include a partitioning theorem, estimates on polynomials vanishing on fixed sets and bounds for the number of connected components ...

We use techniques from both real and complex algebraic geometry to study K-theoretic and related invariants of the algebra C(X) of continuous complex-valued functions on a compact Hausdorff topological space X. For example, ...

The objective of this work is to generalize basic ideas from linear algebra and topology, such as traces and fixed points, into a categorical context. Each of those generalizations has important objects and ideas behind, ...

In this work, we will initially present generalized bundles, a concept developed by Fadell with the objective of generalizing vector bundles, Stiefel-Whitney classes andWu’s formula from the context of smooth manifolds ...

Let Q be a strictly geodesically convex region in the hyperbolic plane bounded by a closed curve with strictly positive geodesic curvature. A billiard on Q consists in the particle’s free motion suffering elastic collisions ...

We study the topology of the fibers of real analytic maps 'R POT.N'→'R POT.P', n>p, in a neighborhood of a critical point. We first prove that every real analytic map-germ f : 'R POT.N' → 'R POT.P', p ≥ 1, with arbitrary ...