Ana Rita Martins

activity

20052019

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6 papers · 1 filter

math.AG2019

Equisingular Deformations of Legendrian Curves

Ana Rita Martins, Marco Silva Mendes, Orlando Neto

We construct equisingular semiuniversal deformations of Legendrian curves.

math.AG2012

Extension of functors for algebras of formal deformation

Ana Rita Martins, Teresa Monteiro Fernandes, David Raimundo

Suppose we are given complex manifolds $X$ and $Y$ together with substacks $S$ and $S^{'}$ of modules over algebras of formal deformation $A$ on $X$ and…

math.AG2009

Formal extension of the Whitney functor and duality

Ana Rita Martins, Teresa Monteiro Fernandes

We introduce the formal extension of the Whitney functor and the polynomial extension of the tempered cohomology functor, and prove a natural topological duality between them.

math.AG2006

Functorial properties of the microsupport and regularity for ind-sheaves

Ana Rita Martins

The notion of microsupport and regularity for ind-sheaves was introduced by M. Kashiwara and P. Schapira in "Microlocal study of ind-sheaves I: microsupport and regularity". In thi…

math.AG2006

Temperate holomorphic solutions and regularity of holonomic D-modules on curves

Ana Rita Martins

Let $X$ be a complex manifold. In "Microlocal study of Ind-sheaves I: microsupport and regularity", M. Kashiwara e P. Schapira made the conjecture that a holonomic D-module $\shm$…

math.AG2005

Truncated microsupport and hyperbolic inequalities

Ana Rita Martins, Teresa Monteiro Fernandes

We prove that the k-truncated microsupport of the specialization of a complex of sheaves $F$ along a submanifold is contained in the normal cone to the conormal bundle along the k-…