Lagrangian fibration

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August undefined, 2024

TīmeklisThis article introduces a new method to construct volume-filling symplectic embeddings of 4-dimensional ellipsoids by employing polytope mutations in toric and almost toric … Tīmeklis2016. gada 1. jūl. · Consider a Lagrangian fibration π: M C P n such that there is a line bundle P on M with q (P) > 0 and with a given P-degree d on the general fibre F of π, …

A special Lagrangian fibration in the Taub-NUT space - Project Euclid

Tīmeklis2024. gada 25. jūn. · We identify the perverse filtration of a Lagrangian fibration with the monodromy weight filtration of a maximally unipotent degeneration of compact … Tīmeklis2001. gada 1. nov. · Duke Mathematical Journal. In this paper we use Lie group actions on noncompact Riemannian manifolds with calibrations to construct calibrated submanifolds. leaf game fight

A DERIVED LAGRANGIAN FIBRATION ON THE DERIVED …

TīmeklisLet π:X→Pn be a (holomorphic) Lagrangian fibration that is very general in the moduli space of Lagrangian fibrations. We conjecture that the singular fibres in codimension one must be semistable degenerations of abelian varieties. We prove a partial result towards this conjecture, and describe an example that provides further evidence. TīmeklisGeometrically this means that, locally around the regular value c, the map f: M → R n collecting the integrals of motion is a Lagrangian fibration, i.e. it is locally trivial and the fibres are Lagrangian submanifolds. Furthermore, one also shows that the connected components of f − 1 ( c) are of the form R n − k × T k, where 0 ≤ k ≤ ... Tīmeklis2024. gada 16. marts · This paper deals with Lagrangian fibrations in coupled resonant oscillators containing swinging spring oscillators of four degrees of freedom. We will … leaf game on cbc

Lagrangian Constant Cycle Subvarieties in Lagrangian Fibrations

Tīmeklis2013. gada 3. jūl. · A Lagrangian fibration on X is a fibration f:X→B such that every irreducible component of every fiber of f is a Lagrangian subvariety with respect to the holomorphic symplectic form σ. To make this note more self-contained, we collect some known results concerning fibrations on hyperkähler manifolds, which we will use in … TīmeklisAbout Publisher Help Sitemap leaff wafflesTīmeklis2024. gada 3. apr. · We show that the hyper-K\"ahler varieties of OG10-type constructed by Laza-Sacc\`a-Voisin (LSV) verify the Lefschetz standard conjecture. This is an application of a more general result, stating that certain Lagrangian fibrations verify this conjecture. The main technical assumption of this general result is that the … leaf game streaming

"Tīmeklis2024. gada 8. febr. · 1 Introduction. This note is devoted to the construction of some subvarieties Y in a projective hyper-Kähler manifold X admitting a Lagrangian … " - Lagrangian fibration

Lagrangian fibration

Tīmeklis2024. gada 19. marts · The LLV algebra for a compact hyperkähler manifold detects the information of a Lagrangian fibration. We outline how some of these results hold in the case of primitive symplectic varieties ... TīmeklisWe study the partition function N=1 5D U(N) gauge theory with g adjoint hypermultiplets and show that for massless adjoint hypermultiplets it is equal to the partition function …

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Tīmeklis2009. gada 30. jūl. · For a compact hyperk\"ahler manifold X, we show certain Zariski decomposition for every pseudo-effective R-divisor, and give a sufficient condition for X to be bimeromorphic to a (holomorphic) Lagrangian fibration. We also prove that any sequence of D-flops between projective hyperk\"ahler manifolds terminates after … TīmeklisBeauville posed the question whether X admits a Lagrangian fibration with fibre L. We show that this is indeed the case if X is not projective. If X is projective we find an almost holomorphic Lagrangian fibration with fibre L under additional assumptions on the pair ( X , L ) , which can be formulated in topological or deformation-theoretic terms.

Tīmeklis2010. gada 1. febr. · Let Y be an n-dimensional manifold that is the base space of a Lagrangian fibration with monodromy given by f ∗. If H 3 (Y; R) = 0, then all cohomology classes in H 2 (Y; Z f ∗ n) can be realised as the Chern class of some Lagrangian fibration with base Y and monodromy as before. Tīmeklis2024. gada 23. aug. · Lagrangian Fibrations. D. Huybrechts, M. Mauri. Published 23 August 2024. Mathematics. Milan Journal of Mathematics. We review the theory of …

Tīmeklis2024. gada 22. maijs · Consider a Lagrangian section C of this fibration, locally written as y(x), in X. Using the identification with the cotangent bundle and the fact that C is Lagrangian with respect to $\omega $ if and only if it is closed and hence locally exact, it is shown [ 8 ] that locally Tīmeklis2024. gada 1. maijs · It is known that every integrable system gives rise to a Lagrangian fibration via action-angle variables. My question is how to tell if a given Lagrangian …

TīmeklisLagrangian fibration of a hyper-K¨ahler manifold is a generalization of an elliptic fibration of a K3 surface. It is a certain holomorphic surjective map π : X →B from a hyper-K¨ahler manifold X. Lagrangian fibrations provide …

Tīmeklisis a Lagrangian bration (in fact, a bre bundle). Note that the zero section is Lagrangian: in fact, all sections : B!T Bwhich are closed 1-forms are Lagrangian. While this is a … leaf game in 6 minutesTīmeklis2024. gada 21. dec. · There is a related notion of the Shafarevich-Tate group associated to a Lagrangian fibration. Its connected component of unity can be shown to be isomorphic to $\mathbb C/\Lambda$ where $\Lambda$ is a finitely generated subgroup of $\mathbb C$ and $\mathbb C$ is thought of as the base of the Shafarevich-Tate … leaf game postponedTīmeklisholomorphic Lagrangian fibration and a discriminant hypersurface. Theorem 1.2. Let M be a holomorphic symplectic manifold and let f: M - > B be a holomorphic … leaf from your book