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On the group algebra decomposition of a Jacobian variety
(Springer, 2016)
Given a compact Riemann surface X with an action of a finite group G, the group algebra provides an isogenous decomposition of its Jacobian variety JX, known as the group algebra decomposition of JX. We obtain a method to ...
Polarizations of isotypical components of Jacobians with group action
(2012)
We outline a method to compute the type of the induced polarization of an abelian subvariety of a canonically polarized Jacobian of a smooth projective curve. The method works for curves of not too big genus admitting a ...
Completely decomposable Jacobian varieties in new genera
(Taylor & Francis, 2017)
We present a new technique to study Jacobian variety decompositions using subgroups of the automorphism group of the curve and the corresponding intermediate covers. In particular, this new method allows us to produce many ...
On finite dimensional Jacobian algebras
(Sociedad Matemática Mexicana, 2015-12)
We show that Jacobian algebras arising from every tagged triangulation of a sphere with n-punctures, with n ≥ 5, are finite dimensional algebras. We consider also a family of cyclically oriented quivers and we prove that, ...
Alternate treatments of jacobian singularities in polar coordinates within finite-difference schemes
(World Academic UnionLiverpool, 2012)
Jacobian singularities of differential operators in curvilinear coordinates occur when the Jacobian
determinant of the curvilinear-to-Cartesian mapping vanishes, thus leading to unbounded coefficients in par-tial differential ...
Alternate treatments of jacobian singularities in polar coordinates within finite-difference schemes
(2012-12-27)
Jacobian singularities of differential operators in curvilinear coordinates occur when the Jacobian determinant of the curvilinear-to-Cartesian mapping vanishes, thus leading to unbounded coefficients in partial differential ...
Nilpotent Jacobians and Almost Global Stability
(Springer, 2020)
By one hand, we continue with the study of the liaison between the almost Hurwitz vector fields and density functions. In particular by using mapsHwith nilpotent JacobianJHsuch that their rows are linearly dependent over ...
Alternate treatments of jacobian singularities in polar coordinates within finite-difference schemes
(2012-12-27)
Jacobian singularities of differential operators in curvilinear coordinates occur when the Jacobian determinant of the curvilinear-to-Cartesian mapping vanishes, thus leading to unbounded coefficients in partial differential ...
Nilpotent Jacobians and Almost Global Stability
(Journal of Dynamics and Differential Equations, 2020)