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arXiv:2601.21828v3 Announce Type: replace Abstract: We establish that every set of $k=10$ natural numbers determines at least $30$ distinct pairwise sums or at least $30$...
arXiv:2602.03149v2 Announce Type: replace Abstract: The universal property for the B\'enabou bicategory of distributors (although we call them "modules") presented here is somewhat implicitly spread...
arXiv:2602.04158v2 Announce Type: replace Abstract: This paper is devoted to studying the deformation behavior of pseudo-effective canonical divisors and volumes of adjoint classes in K\"ahler...
arXiv:2602.05753v2 Announce Type: replace Abstract: We study a rigidity problem for functions \(F:\R_{>0}\to\R_{\ge 0}\) that penalize deviation of a positive ratio from equilibrium \(x=1\). Assuming...
arXiv:2602.07946v3 Announce Type: replace Abstract: We investigate the reflection theory of Nichols algebras over arbitrary coquasi-Hopf algebras with bijective antipode, generalizing previous results restricted to...
arXiv:2602.09201v2 Announce Type: replace Abstract: We prove a generic flatness result for the cohomology of thickenings of a projective scheme that is smooth over a...
arXiv:2602.09215v2 Announce Type: replace Abstract: We construct the Weil restriction map for l-adic cohomology and, more generally, for mixed Weil cohomology theories. We study its...
arXiv:2602.09998v2 Announce Type: replace Abstract: We analyze the stability and bifurcation structure of steady states in a mechanochemical model of pattern formation in regenerating tissue...
arXiv:2602.12657v2 Announce Type: replace Abstract: We examine the stability of a class of quasilinear parabolic partial differential equations under perturbations. We are interested in the...
arXiv:2602.15147v2 Announce Type: replace Abstract: We introduce a new method, dubbed Geometric Structure-Preserving Interpolation ($\Gamma$-SPIN) to preserve physics-constraints inherent in the material parameter limits of...
arXiv:2602.15726v3 Announce Type: replace Abstract: We develop a stability theory for minimal projective resolutions of $\mathbf{P}$-modules, where $\mathbf{P}$ is a finite metric poset. On the...
arXiv:2602.16537v2 Announce Type: replace Abstract: We study online conformal prediction for non-stationary data streams subject to unknown distribution drift. While most prior work studied this...
arXiv:2602.17719v3 Announce Type: replace Abstract: Seeking simple, efficient solutions of a matrix equation leads (quite circuitously) to optimizing unimodular zerofree matrices.
arXiv:2602.19132v2 Announce Type: replace Abstract: In this article, we consider the reciprocal antisymmetric polynomial \[P(z) = \sum_{j = 0}^{s}(-1)^j\gamma_j\left(z^j - z^{N + s + 1...
arXiv:2602.19415v2 Announce Type: replace Abstract: We extend Hacon--M\textsuperscript{c}Kernan's rational chain connectedness theorem to the complex analytic setting. As a consequence, we prove that the fibers...
arXiv:2602.20098v2 Announce Type: replace Abstract: Let $M =\mathbb{H}^3/\Gamma$ be a finite-volume, noncompact hyperbolic 3-manifold. We show that the number of quasi-Fuchsian surface subgroups of $\Gamma$...
arXiv:2602.20742v2 Announce Type: replace Abstract: We study dualizing complexes on algebraic stacks. In particular, we show their existence for (tame) Deligne--Mumford stacks of equicharacteristic in...
arXiv:2602.22038v3 Announce Type: replace Abstract: We derive quantitative estimates for the stochastic 2D vortex model on the whole Euclidean space from stochastic particle systems driven...
arXiv:2602.22767v2 Announce Type: replace Abstract: We prove the persistence of boundary smoothness of vortex patches for the quasi-geostrophic shallow-water (QGSW) equations. The QGSW equations generalize...
arXiv:2602.22861v2 Announce Type: replace Abstract: We develop structure-preserving discontinuous Galerkin methods for the Cahn-Hilliard-Navier-Stokes equations with degenerate mobility. The proposed SWIPD-L and SIPGD-L methods incorporate...
arXiv:2603.00007v2 Announce Type: replace Abstract: The Betke-Henk-Wills conjecture provides an upper bound for the lattice point enumerator $G(K, \Lambda)$ of a convex body in terms...
arXiv:2603.00011v3 Announce Type: replace Abstract: Let X be an irreducible complex affine algebraic variety defined over $\mathbb{R}$, equipped with a faithful action of a finite...
arXiv:2603.00659v2 Announce Type: replace Abstract: In this paper, we prove a generalized reverse H\"older inequality of harmonic functions on cable systems induced by post-critically finite...
arXiv:2603.00661v2 Announce Type: replace Abstract: For an exchangeable Bernoulli sequence with de Finetti mixing measure Pi, the k-step predictive probability P(X_{n+1}=...=X_{n+k}=0 | F_n) equals the...