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arXiv:2305.13558v3 Announce Type: replace Abstract: We provide an overview of the combinatorial theory of horospherical varieties using coloured fans, a generalization of the combinatorial theory...
arXiv:2306.05230v2 Announce Type: replace Abstract: We define generalised higher Whitehead maps between polyhedral products. By investigating the interplay between the homotopy-theoretic properties of polyhedral products...
arXiv:2306.09842v3 Announce Type: replace Abstract: We give a general conjecture concerning the existence of Eisenstein congruences between weight $k\geq 3$ newforms of square-free level $NM$...
arXiv:2307.13334v3 Announce Type: replace Abstract: A \emph{Hessenberg Schubert variety} is an irreducible component of the intersection of a Schubert variety and a Hessenberg variety, defined...
arXiv:2309.00554v4 Announce Type: replace Abstract: We introduce derived projective covers and explain how they are related to the notion of enough derived projectives. This provides...
arXiv:2310.01368v2 Announce Type: replace Abstract: Let $\Sigma$ be a compact orientable surface with nonempty boundary, let $\varphi: \Sigma \to \Sigma$ be an orientation-preserving pseudo-Anosov homeomorphism,...
arXiv:2310.11972v5 Announce Type: replace Abstract: Following the classical approach of Birkhoff, we suggest an enriched version of enriched universal algebra. Given a suitable base of...
arXiv:2310.12291v3 Announce Type: replace Abstract: We introduce the poset of biflats of a matroid $M$, a Lagrangian analog of the lattice of flats of $M$,...
arXiv:2311.12594v2 Announce Type: replace Abstract: We extend the notions of "$R_\infty$-property" and "full (extended) Reidemeister spectrum" to finite groups in a meaningful way. We provide...
arXiv:2312.02630v5 Announce Type: replace Abstract: We introduce a class of affine Deligne--Lusztig varieties that we call of positive Coxeter type. We show that the affine...
arXiv:2312.03625v2 Announce Type: replace Abstract: Using the global Kuranishi charts constructed in \cite{HS22}, we define gravitational descendants and equivariant Gromov-Witten invariants for general symplectic manifolds....
arXiv:2401.10086v3 Announce Type: replace Abstract: We consider the set of $n\times n$ matrices with rational entries having numerator and denominator of size at most $H$...
arXiv:2402.13084v5 Announce Type: replace Abstract: For a tempered distribution $g$, and $0 < p, q, r < \infty$ with $\frac{1}{q} = \frac{1}{p} + \frac{1}{r}$, we...
arXiv:2403.08617v2 Announce Type: replace Abstract: We give a semidefinite programming characterization of the Crawford number. We show that the computation of the Crawford number within...
arXiv:2404.17881v2 Announce Type: replace Abstract: We construct and investigate certain (unbalanced) superalgebra structures on $\text{End}_K(V)$, with $K$ a field of characteristic $0$ and $V$ a...
arXiv:2405.00778v2 Announce Type: replace Abstract: We establish a connection between problems studied in rigidity theory and matroids arising from linear algebraic constructions like tensor products...
arXiv:2405.19852v4 Announce Type: replace Abstract: We obtain a sharp result on the order of harmonic quasiconformal mappings with bounded Schwarzian norm. This problem is motivated...
arXiv:2406.00961v3 Announce Type: replace Abstract: We study the eigenvalue distribution and resolvent of a Kronecker-product random matrix model $A \otimes I_{n \times n}+I_{n \times n}...
arXiv:2407.07866v3 Announce Type: replace Abstract: For stochastic Hamilton-Jacobi (SHJ) equations, instability points are the space-time locations where two eternal solutions with the same asymptotic velocity...
arXiv:2407.09213v4 Announce Type: replace Abstract: We discuss the problem of projecting a point onto an arbitrary hyperbolicity cone from both theoretical and numerical perspectives. While...
arXiv:2408.03039v2 Announce Type: replace Abstract: We consider the problem of Gaussian approximation for the $\kappa$th coordinate of a sum of high-dimensional random vectors. Such a...
arXiv:2408.17203v4 Announce Type: replace Abstract: This paper explores the relationship between L-equivalence and D-equivalence for K3 surfaces and hyperk\"ahler manifolds. Building on Efimov's approach using...
arXiv:2409.18187v5 Announce Type: replace Abstract: We construct topological $\Delta G$-homology for rings with twisted $G$-action. Here a ring with twisted $G$-action is a common generalization...
arXiv:2410.03048v2 Announce Type: replace Abstract: Let $\omega$ be a primitive cubic root of unity. We study the non-vanishing problem for the family of Hecke $L$-functions...