Iitaka fibrations and integral points: A family of arbitrarily polarized spherical threefolds
Abstract Studying Manin's program for a family of spherical log Fano threefolds, we determine the asymptotic number of integral points whose height associated with an arbitrary ample line bundle is bounded. This confirms a recent conjecture by Santens and sheds new light on the logarithmic analog of Iitaka fibrations, which have not yet been adequately
Ulrich Derenthal, Florian Wilsch
wiley +1 more source
Entanglement and the density matrix renormalization group in the generalized Landau paradigm. [PDF]
Lootens L +3 more
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Fractional Q$Q$‐curvature on the sphere and optimal partitions
Abstract We study an optimal partition problem on the sphere, where the cost functional is associated with the fractional Q$Q$‐curvature in terms of the conformal fractional Laplacian on the sphere. By leveraging symmetries, we prove the existence of a symmetric minimal partition through a variational approach. A key ingredient in our analysis is a new
Héctor A. Chang‐Lara +2 more
wiley +1 more source
Bands renormalization and superconductivity in the strongly correlated Hubbard model using composite operators method [PDF]
Louis Haurie +5 more
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Conformal optimization of eigenvalues on surfaces with symmetries
Abstract Given a conformal action of a discrete group on a Riemann surface, we study the maximization of Laplace and Steklov eigenvalues within a conformal class, considering metrics invariant under the group action. We establish natural conditions for the existence and regularity of maximizers. Our method simplifies the previously known techniques for
Denis Vinokurov
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Evolution of entanglement entropy at SU(N) deconfined quantum critical points. [PDF]
Song M +6 more
europepmc +1 more source
Abstract We study convergence problems for the intermediate long wave (ILW) equation, with the depth parameter δ>0$\delta > 0$, in the deep‐water limit (δ→∞$\delta \rightarrow \infty$) and the shallow‐water limit (δ→0$\delta \rightarrow 0$) from a statistical point of view.
Guopeng Li, Tadahiro Oh, Guangqu Zheng
wiley +1 more source
Dynamics of one-dimensional spin models via complex-time evolution of tensor networks. [PDF]
Cha JH, Lee HY, Kim HS.
europepmc +1 more source
Band-Gap Tunability in Anharmonic Perovskite-Like Semiconductors Driven by Polar Electron-Phonon Coupling. [PDF]
Benítez P +7 more
europepmc +1 more source
Hamiltonians, path integrals, and a new renormalization group
Marvin Weinstein
openalex +2 more sources

