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Simplicity And Exceptionality Of Syzygy Bundles Over P-n
(SPRINGER HEIDELBERGHEIDELBERG, 2016)
Implicitization of rational hypersurfaces via linear syzygies: A practical overview
(Academic Press Ltd - Elsevier Science Ltd, 2016-05)
We unveil in concrete terms the general machinery of the syzygy-based algorithms for the implicitization of rational surfaces in terms of the monomials in the polynomials defining the parametrization, following and expanding ...
On the independence of strain invariants of two preferred direction nonlinear elasticity
(Elsevier, 2015)
It is often assumed in the literature that the nine classical strain invariants, which are used to characterize the strain energy of a compressible anisotropic elastic solid with two preferred non-orthogonal directions are ...
Curvas pontuadas com semigrupo de weierstrass simétrico
(Universidade Federal de Minas GeraisUFMG, 2015-11-30)
This work details a part of the article of Contiero and Stöhr [CS], where is approached the estimatives for the dimenson of MS through a construction explicit of its compactification, where the original moduli space is ...
Álgebras de explosão de certos ideais monomiais
(Pós-Graduação em MatemáticaUniversidade Federal de Sergipe, 2023)
Compactifications of rational maps, and the implicit equations of their images
(Elsevier Science, 2010-05)
In this paper, we give different compactifications for the domain and the codomain of an affine rational map f which parameterizes a hypersurface. We show that the closure of the image of this map (with possibly some other ...
Fibers of multi-graded rational maps and orthogonal projection onto rational surfaces
(Society for Industrial and Applied Mathematics, 2020-06)
We contribute a new algebraic method for computing the orthogonal projections of a point onto a rational algebraic surface embedded in the three-dimensional projective space. This problem is first turned into the computation ...
Subcanonical curves: on the loci of odd Weierstrass semigroups and the dimension of the loci for certain families of semigroups
(Universidade Federal de Minas GeraisUFMG, 2017-09-15)
A celebrated result of KontsevichZorich ensures that the moduli space (...) of pointed curves of genus g whose marked point is subcanonical has three irreducible components. In this work we present an explicit method to ...
A case study in bigraded commutative algebra
(Chapman and Hall, 2007)
We study the commutative algebra of three bihomogeneous polynomials p_0,p_1,p_2 of degree (2,1) in variables x,y;z,w, assuming that they never vanish simultaneously on P^1 x P^1. Unlike the situation for P^2, the Koszul ...
Álgebras de explosão e birracionalidade
(Pós-Graduação em MatemáticaUniversidade Federal de Sergipe (UFS), 2023)