Results 11 to 20 of about 193 (115)
Periodic Orbits of Planar Integrable Birational Maps [PDF]
, 2015 A birational planar map F possessing a rational first integral preserves a foliation of the plane given by algebraic curves which, if F is not globally periodic, is given by a foliation of curves that have generically genus 0 or 1.
Víctor Mañosa +3 more
core +1 more source
Tri-linear birational maps in dimension three
, 2022 A tri-linear rational map in dimension three is a rational map $\phi: (\mathbb{P}_\mathbb{C}^1)^3 \dashrightarrow \mathbb{P}_\mathbb{C}^3$ defined by four tri-linear polynomials without a common factor. If $\phi$ admits an inverse rational map $\phi^{-1}$
Schicho, Josef +2 more
core +1 more source
Symplectic Maps from Cluster Algebras [PDF]
, 2011 We consider nonlinear recurrences generated from the iteration of maps that arise from cluster algebras. More precisely, starting from a skew-symmetric integer matrix, or its corresponding quiver, one can define a set of mutation operations, as well as a
Fordy, Allan P. +3 more
core +1 more source
Quotients of groups of birational transformations of cubic del Pezzo fibrations [PDF]
, 2020 We prove that the group of birational transformations of a del Pezzo fibration of degree 3 over a curve is not simple, by giving a surjective group homomorphism to a free product of infinitely many groups of order 2 . As a consequence we also obtain that
Blanc, Jérémy +3 more
core +1 more source
Holomorphic symmetric differentials and a birational characterization of Abelian Varieties [PDF]
, 2020 A generically generated vector bundle on a smooth projective variety yields a rational map to a Grassmannian, called Kodaira map. We answer a previous question, raised by the asymptotic behaviour of such maps, giving rise to a birational characterization
Ernesto C. Mistretta
core +1 more source
Periodic orbits of planar integrable birational maps [PDF]
, 2014 A birational planar map F possessing a rational first integral preserves a foliation of the plane given by algebraic curves which, if F is not globally periodic, is given by a foliation of curves that have generically genus 0 or 1. In the genus 1 case,
Mañosa Fernández, Víctor +1 more
core +1 more source
Quiver Varieties, Category O for Rational Cherednik Algebras, and Hecke Algebras
, 2008 We relate the representations of the rational Cherednik algebras associated with the complex reflection group S-n x (mu e)(n) to sheaves on Nakajima quiver varieties associated with extended Dynkin graphs via a Z-algebra construction.
Gordon, I. G.
core +1 more source
On the Quot scheme QuotSl(E)$\mathrm{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We study the geometry of the Quot scheme QuotSl(E)$\operatorname{Quot}^{l}_{\mathrm{S}}(\mathcal {E})$ of length l$l$ coherent sheaf quotients of a locally free sheaf E$\mathcal {E}$ on a smooth projective surface S$\mathrm{S}$. In particular, we investigate the nature of its singularities, its intersection theory, and the cohomology of ...
Samuel Stark
wiley +1 more source
Birational Geometry of 3-fold Mori Fibre Spaces [PDF]
, 2004 We study the geography and birational geometry of 3-fold conic bundles over P\(^2\) and cubic del Pezzo fibrations over P\(^1\).
Brown, G., Corti, A., Zucconi, F.
core
Automorphism groups of P1$\mathbb {P}^1$‐bundles over geometrically ruled surfaces
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract We classify the pairs (X,π)$(X,\pi)$, where π:X→S$\pi \colon X\rightarrow S$ is a P1$\mathbb {P}^1$‐bundle over a non‐rational geometrically ruled surface S$S$ and Aut∘(X)$\mathrm{Aut}^\circ (X)$ is relatively maximal, that is, maximal with respect to the inclusion in the group Bir(X/S)$\mathrm{Bir}(X/S)$.
Pascal Fong
wiley +1 more source