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arXiv:2602.12646v2 Announce Type: replace Abstract: In [CKM17], Chodosh, Ketover, and Maximo proved finite diffeomorphism theorems for complete embedded minimal hypersurfaces of dimension $\leqslant$ 6 with...
arXiv:2602.13948v2 Announce Type: replace Abstract: We provide an algebraic perspective on Nielsen--Ninomiya-type no-go theorems arising from group cohomological anomalies, revisiting in particular the version proved...
arXiv:2602.14500v2 Announce Type: replace Abstract: Mutual visibility in graphs requires pairs of vertices to be connected by shortest paths that avoid all other vertices of...
arXiv:2602.14792v2 Announce Type: replace Abstract: We construct canonical $\mathbb{Q}$-factorial Gorenstein affine fourfolds in every positive characteristic that are not quasi-$F$-split.
arXiv:2602.16419v2 Announce Type: replace Abstract: It is proved that, for a pre-ordered vector space $X$, the quotient space $(X/A,[W])$ is the Archimedeanization of $X$, where...
arXiv:2602.16572v2 Announce Type: replace Abstract: Over an arbitrary commutative ring $R$, we develop a theory of quantum cellular automata. We then use algebraic K-theory to...
arXiv:2602.17014v3 Announce Type: replace Abstract: Reeb spaces of (continuous) real-valued functions on (nice) topological spaces are the spaces whose underlying sets consist of all connected...
arXiv:2602.17240v2 Announce Type: replace Abstract: We introduce a fundamental homological invariant, called Serre depth, which stratifies Serre's conditions in the same way that depth stratifies...
arXiv:2602.17746v2 Announce Type: replace Abstract: We prove, in the context of the section conjecture, that every Selmer section over $\mathbb{Q}$ of the affine Fermat curve...
arXiv:2602.19625v2 Announce Type: replace Abstract: Intermittent demand fluctuations pose significant challenges in disaster logistics and medical supply systems. In this study, we formulate cumulative demand...
arXiv:2602.19771v2 Announce Type: replace Abstract: Let $\mathcal{X}_0(N)$ be the Deligne--Rapoport modular stack of elliptic curves endowed with a cyclic rational $N$-isogeny over a number field...
arXiv:2602.20086v3 Announce Type: replace Abstract: Let $f$ be a Rademacher or Steinhaus random multiplicative function. For various arithmetically interesting subsets $\mathcal A\subseteq [1, N]\cap\mathbb N$...
arXiv:2602.20103v3 Announce Type: replace Abstract: The alternating direction method of multipliers (ADMM) is widely used for solving large-scale semidefinite programs (SDPs), yet on instances with...
arXiv:2602.20143v2 Announce Type: replace Abstract: Let $A$ and $B$ be sets of words of length $n$ over some finite alphabet. Suppose that no suffix of...
arXiv:2602.20968v2 Announce Type: replace Abstract: In this work, we propose a cohomological approach to studying perturbative anomalies in quantum mechanics. The Hamiltonian $\hat{H}$ together with...
arXiv:2602.21315v2 Announce Type: replace Abstract: In this paper we prove Aldous's conjecture from 1987 that there is no backoff protocol that is stable for any...
arXiv:2602.22167v2 Announce Type: replace Abstract: We establish new bounds for short multiplicative character sums over finite fields $\mathbb{F}_{p^n}$, improving upon our earlier result \cite{Ch}. Let...
arXiv:2602.22961v2 Announce Type: replace Abstract: For each odd sphere $S^n$ with $n=2m+1\ge 5$, we consider the Sasaki volume functional $\mathrm{Vol}^S(V)=\int_{S^n}\sqrt{\det(I+(\nabla V)^\top(\nabla V))}\,d\mathrm{vol}$ on smooth unit...
arXiv:2602.23267v2 Announce Type: replace Abstract: In topological dynamics, tame and null systems arise naturally in the study of low-complexity aperiodic behaviour, yet providing concrete and...
arXiv:2602.23703v2 Announce Type: replace Abstract: This paper presents an efficient mesh deformation method based on boundary integration and neural operators, formulating the problem as a...
arXiv:2602.24153v3 Announce Type: replace Abstract: Let $f$ be a defining polynomial of a reduced projective curve $C\subset{\bf P}^2$ having only weighted homogeneous singularities. We show...
arXiv:2602.24189v2 Announce Type: replace Abstract: In this note, we prove the Almost Sure Central Limit Theorem (ASCLT) for the spatial integral of the solution of...
arXiv:2603.00276v2 Announce Type: replace Abstract: If $G$ is a compact group, continuous normalized positive definite functions are in one-to-one correspondence with unital quantum channels acting...
arXiv:2603.00301v2 Announce Type: replace Abstract: For a real quadratic field $\mathbb{Q}(\sqrt{d})$, we study the norm-form energy $\mathcal{N} = S_\zeta^2 - d \cdot S_L^2$, where $S_\zeta$...