Results 121 to 130 of about 11,355 (303)
Modular forms for three-loop banana integrals
Journal of High Energy PhysicsWe study periods of multi-parameter families of K3 surfaces, which are relevant to compute the maximal cuts of certain classes of Feynman integrals. We focus on their automorphic properties, and we show that generically the periods define orthogonal ...
Claude Duhr
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Rank jumps and multisections of elliptic fibrations on K3 surfaces
Forum of Mathematics, SigmaWe consider the countably many families $\mathcal {L}_d$ , $d\in \mathbb {N}_{\geq 2}$ , of K3 surfaces admitting an elliptic fibration with positive Mordell–Weil rank. We prove that the elliptic fibrations on the very general member of these
Alice Garbagnati, Cecília Salgado
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Terminalizations of quotients of compact hyperkähler manifolds by induced symplectic automorphisms [PDF]
Épijournal de Géométrie AlgébriqueTerminalizations of symplectic quotients are sources of new deformation types of irreducible symplectic varieties. We classify all terminalizations of quotients of Hilbert schemes of K3 surfaces or of generalized Kummer varieties, by finite groups of ...
Valeria Bertini +3 more
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Arithmetic of a singular K3 surface
Michigan Mathematical Journal, 2008 12 pages, 2 figures; final version: two typos corrected, references ...
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On hyperplane sections on K3 surfaces
Algebraic Geometry, 2017 Let C be a Brill-Noether-Petri curve of genus g\geq 12. We prove that C lies on a polarized K3 surface, or on a limit thereof, if and only if the Gauss-Wahl map for C is not surjective. The proof is obtained by studying the validity of two conjectures by J. Wahl. Let I_C be the ideal sheaf of a non-hyperelliptic, genus g, canonical curve.
Arbarello, Enrico +2 more
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Electrocatalytic Coupling Conversion of Methane by Dual‐Site Control in Nickel Oxyhydroxide
Advanced Science, EarlyView.Electrocatalytic coupling conversion of methane (CH4) is accomplished on the nickel oxyhydroxide (NiOOH), wherein the Ni─O dual‐site is triggered via the proper electronic interaction, synergistically promoting the C─H activation and C─C formation, enabling a selective and efficient C2 product generation route under ambient conditions. ABSTRACT Methane
Kailong Lu +7 more
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Angewandte Chemie, EarlyView.Heterogeneous iron‐catalyzed environmentally benign and sustainable CH‐oxidative esterification methodology has been developed for the synthesis of esters. This challenging reaction has been achieved by the rational design of specific single atom iron‐based catalyst with Fe‐N4 active centers, which empowered the oxidative esterification of methyl and ...
Zhuang Ma +8 more
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A gluing construction of K3 surfaces
, 2023 We develop a new method for constructing K3 surfaces. We construct such a K3 surface $X$ by patching two open complex surfaces obtained as the complements of tubular neighborhoods of elliptic curves embedded in blow-ups of the projective planes at ...
Uehara, Takato, Koike, Takayuki
core
Physics‐Informed Neural Network‐Enabled Forward Prediction and Inverse Design of Ring Origami
Advanced Science, EarlyView.This work presents a KRT‐PINN framework that integrates Kirchhoff rod theory with physics‐informed neural networks for the forward prediction and inverse design of ring origami consisting of closed‐loop rods. The framework predicts stable states of segmented rings with prescribed natural‐curvature profiles and determines the natural‐curvature profiles ...
Luyuan Ning +3 more
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On the irrationality of moduli spaces of projective hyperk\"ahler manifolds [PDF]
Épijournal de Géométrie AlgébriqueThe aim of this paper is to estimate the irrationality of moduli spaces of hyperk\"ahler manifolds of types K3$^{[n]}$, Kum$_{n}$, OG6, and OG10. We prove that the degrees of irrationality of these moduli spaces are bounded from above by a universal
Daniele Agostini +2 more
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