Results 21 to 30 of about 2,842 (71)

Decomposition of Jacobian varieties of curves with dihedral actions via equisymmetric stratification [PDF]

Revista matemática iberoamericana, 2016
Given a compact Riemann surface $X$ with an action of a finite group $G$, the group algebra Q[G] provides an isogenous decomposition of its Jacobian variety $JX$, known as the group algebra decomposition of $JX$.
M. Izquierdo, Leslie Jimenez, A. Rojas
semanticscholar   +1 more source

Hyperelliptic curves on (1, 4)-polarised abelian surfaces [PDF]

Mathematische Zeitschrift, 2017
We investigate the number and the geometry of smooth hyperelliptic curves on a general complex abelian surface. We give a short proof for the known fact the only possibilities of genera of such curves are 2, 3, 4 and 5; then we focus on the genus five ...
Paweł Borówka, A. Ortega
semanticscholar   +2 more sources

E8 spectral curves

Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020
Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
wiley   +1 more source

Masur–Veech volume of the gothic locus

Journal of the London Mathematical Society, Volume 102, Issue 1, Page 405-436, August 2020., 2020
Abstract We calculate the Masur–Veech volume of the gothic locus G in the stratum H(23) of genus 4. Our method is based on the use of the formulae for the Euler characteristics of gothic Teichmüller curves to determine the number of lattice points of given area. We also use this method to recalculate the Masur–Veech volumes of the Prym loci P3⊂H(4) and
David Torres‐Teigell
wiley   +1 more source

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  

Intermediate Jacobians and ADE Hitchin Systems [PDF]

, 2006
Let $\Sigma$ be a smooth projective complex curve and $\mathfrak{g}$ a simple Lie algebra of type ${\sf ADE}$ with associated adjoint group $G$. For a fixed pair $(\Sigma, \mathfrak{g})$, we construct a family of quasi-projective Calabi-Yau threefolds ...
Duiliu-Emanuel Diaconescu, R. Donagi, T. Pantev   +2 more
semanticscholar   +1 more source

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  

Dimensions of Prym varieties

International Journal of Mathematics and Mathematical Sciences, Volume 26, Issue 2, Page 107-116, 2001., 2001
Given a tame Galois branched cover of curves π : X → Y with any finite Galois group G whose representations are rational, we compute the dimension of the (generalized) Prym variety Prymρ(X) corresponding to any irreducible representation ρ of G. This formula can be applied to the study of algebraic integrable systems using Lax pairs, in particular ...
Amy E. Ksir
wiley   +1 more source

Singularities of theta divisors and the geometry of A_5 [PDF]

, 2011
We study the codimension two locus H in A_g consisting of principally polarized abelian varieties whose theta divisor has a singularity that is not an ordinary double point. We compute the class of H in A_g for every g.
G. Farkas, S. Grushevsky, R. Manni, A. Verra   +3 more
semanticscholar   +1 more source

Wild conductor exponents of curves

Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.
Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley   +1 more source