Results 1 to 10 of about 820 (60)
Products of Jacobians as Prym-Tyurin varieties [PDF]
Geometriae Dedicata, 2008 Let $X_1, ..., X_m$ denote smooth projective curves of genus $g_i \geq 2$ over an algebraically closed field of characteristic 0 and let $n$ denote any integer at least equal to $1+\max_{i=1}^m g_i$. We show that the product $JX_1 \times ... \times JX_m$ of the corresponding Jacobian varieties admits the structure of a Prym-Tyurin variety of exponent ...
Carocca Becerra, Ángel Denys +3 more
openaire +9 more sources
Algebraic Description of Jacobians Isogeneous to Certain Prym Varieties with Polarization (1,2) [PDF]
Experimental Mathematics, 2016 51 pages, 3 figures, 3 ...
Enolski, Viktor Z., Fedorov, Yuri
openaire +4 more sources
Communications in Advanced Mathematical Sciences, 2020 The aim of this paper is to demonstrate the rich interaction between the Kowalewski-Painlev\'{e} analysis, the properties of algebraic completely integrable (a.c.i.) systems, the geometry of its Laurent series solutions, and the theory of Abelian ...
Lesfari Ahmed
doaj +1 more source
Separation of Variables and the Geometry of Jacobians [PDF]
, 2007 This survey examines separation of variables for algebraically integrable Hamiltonian systems whose tori are Jacobians of Riemann surfaces. For these cases there is a natural class of systems which admit separations in a nice geometric sense.
Hurtubise, Jacques
core +6 more sources
Étude géométrique et topologique du flot géodésique sur le groupe des rotations [PDF]
Surveys in Mathematics and its Applications, 2016 The aim of this survey paper is to investigate the algebraic complete integrability of Euler-Arnold's body description of the four dimensional rigid body, or equivalently of geodesics in SO(4) using left-invariant metrics that arise from inertia tensors,
Ahmed Lesfari
doaj
Derived categories and rationality of conic bundles [PDF]
, 2012 We show that a standard conic bundle over a minimal rational surface is rational and its Jacobian splits as the direct sum of Jacobians of curves if and only if its derived category admits a semiorthogonal decomposition by exceptional objects and the ...
Beauville +16 more
core +3 more sources
Spectral theory and nonlinear problems Théorie spectrale et problèmes non-linéaires [PDF]
Surveys in Mathematics and its Applications, 2010 We present a Lie algebra theoretical schema leading to integrable systems, based on the Kostant-Kirillov coadjoint action. Many problems on Kostant-Kirillov coadjoint orbits in subalgebras of infinite dimensional Lie algebras (Kac-Moody Lie algebras)
Ahmed Lesfari
doaj
A decomposition of the Jacobian of a Humbert-Edge curve
, 2020 A \textit{Humbert-Edge curve of type} $n$ is a non-degenerate smooth complete intersection of $n-1$ diagonal quadrics. Such a curve has an interesting geometry since it has a natural action of the group $(\mathbb{Z}/2\mathbb{Z})^n$.
Arteche, Giancarlo Lucchini +2 more
core +1 more source
On nodal prime Fano threefolds of degree 10 [PDF]
, 2010 We study the geometry and the period map of nodal complex prime Fano threefolds with index 1 and degree 10. We show that these threefolds are birationally isomorphic to Verra solids (hypersurfaces of bidegree $(2,2)$ in $ \P^2\times \P^2$). Using Verra's
Debarre, Olivier +2 more
core +4 more sources