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Numerical boundary flux functions that give provable bounds for nonlinear initial boundary value problems with open boundaries

This paper presents a strategy for interpreting nonlinear characteristic-type penalty terms as numerical boundary flux functions, derived from a symmetric boundary matrix formulation of entropy flux, to guarantee provable entropy and energy stability for high-order discontinuous Galerkin methods solving nonlinear hyperbolic initial boundary value problems with open boundaries.

Andrew R. Winters, David A. Kopriva, Jan Nordström2026-03-04🔢 math

Intersection numbers of the natural embedding of the twisted triality hexagon T(q^3,q) in PG(7,q^3)

This paper characterizes the natural embedding of the twisted triality hexagon $T(q^3,q)$ in $PG(7,q^3)$ by analyzing subspace intersections and establishing conditions for a set of lines to form such a hexagon, extending previous results on the split Cayley hexagon.

Sebastian Petit, Geertrui Van de Voorde2026-03-04🔢 math

Homological properties of invariant rings of permutation groups

This paper investigates the homological properties of invariant rings under permutation groups, establishing that key invariants like the $a$ -invariant and quasi-Gorenstein property are independent of the field characteristic (except for specific shift behaviors in characteristic two), proving the Shank–Wehlau conjecture for permutation subgroups, and characterizing the ring of differential operators on these invariants.

Aryaman Maithani2026-03-04🔢 math

A tower of complete moduli spaces of Calabi-Yau $n$ -folds

This paper constructs a sequence of complete moduli spaces isomorphic to weighted projective spaces that parameterize specific $n$ -dimensional Calabi-Yau varieties associated with the Sylvester sequence, thereby generalizing the moduli of elliptic curves and Brieskorn's family of K3 surfaces while extending the theory of elliptic surfaces to higher dimensions.

Valery Alexeev2026-03-04🔢 math

Quantitative stability for the Brascamp-Lieb inequality and moment measures

This paper establishes a sharp quantitative stability version of the Brascamp-Lieb inequality with a stability constant independent of the convex function, alongside uniform stability results for moment measures, by leveraging recent sharp stability versions of the Prékopa-Leindler inequality.

João Miguel Machado, João P. G. Ramos2026-03-04🔢 math

Holomorphic $p$ -Contact and $s$ -Symplectic Line Bundles

This paper generalizes scalar-valued holomorphic $p$ -contact and $s$ -symplectic structures to line bundle-valued analogues on compact complex manifolds, demonstrating that unlike their scalar counterparts, these new structures can admit projective examples, and investigates the positivity properties of their canonical bundles using recent regularisation results for $m$ -psh functions.

Kyle Broder, Dan Popovici2026-03-04🔢 math

Blowup for the multiplicative stochastic heat equation with superlinear drift

This paper establishes that the finite Osgood criterion on the drift term is both necessary and sufficient for finite-time blowup in the multiplicative stochastic heat equation on the interval $[0,1]$ , and extends this result to demonstrate instantaneous explosion on the real line $\mathbf{R}$ by comparing solutions with those on the bounded domain.

Mathew Joseph, Shubham Ovhal2026-03-04🔢 math

Control of kinetic opinion dynamics in popularity-adaptive social networks

This paper proposes a kinetic mathematical model for popularity-adaptive social networks that couples opinion dynamics with network evolution, introducing control laws to strategically influence connectivity and opinion spreading in order to mitigate polarization and foster consensus.

Giacomo Albi, Elisa Calzola, Matteo Piu2026-03-04🔢 math

Sharp Thresholds for $ε$ -Adjoint Singularities of Foliated Surfaces

This paper establishes that the stability of $\epsilon$ -adjoint log canonical singularities on foliated surfaces undergoes sharp thresholds at $\epsilon=1/5$ and $\epsilon=1/4$ , which are proven to be optimal through a complete classification of these singularities for $\epsilon \in (0,1/3)$ in terms of negative definite exceptional configurations.

Shi Xu2026-03-04🔢 math

Information Inequalities for Five Random Variables

This paper utilizes a computationally optimized variant of the Maximum Entropy Method to derive and prove two infinite families of non-Shannon entropy inequalities for five random variables, thereby advancing the understanding of the structure of the five-variable entropic region.

E. P. Csirmaz, L. Csirmaz2026-03-04🔢 math

Number of $K$ -rational points with given $j$ -invariant on modular curves

This paper presents methods to compute the number of $K$ -rational points with a specific $j$ -invariant on arbitrary modular curves, applying these techniques to classify the possible counts of cyclic $n$ -isogenies and points on Cartan modular curves for elliptic curves over number fields, while also providing an algorithm to determine the number of rational CM points.

Ivan Novak2026-03-04🔢 math

A Faber--Krahn inequality for trees

This paper establishes a Faber-Krahn inequality for trees with a fixed matching number, a result that generalizes and implies the Klobůrštěl theorem regarding trees with specified numbers of interior and boundary vertices.

Huiqiu Lin, Lianping Liu, Zhe You2026-03-04🔢 math

A note on Reeb spaces of some explicit real analytic functions

This paper presents the Reeb spaces of explicit real analytic functions that are not finite graphs, extending previous studies on smooth functions by incorporating topological considerations of level sets and real algebraic constructions.

Naoki Kitazawa2026-03-04🔢 math

The relative Clemens Conjectures for $\frac{1}{2}$ -log Calabi-Yau threefolds

This paper formulates and verifies a relative analogue of the Clemens conjecture for $\frac{1}{2}$ -log Calabi-Yau threefolds by establishing a perfect deformation/obstruction duality that suppresses virtual complications, thereby reducing relative Gromov-Witten invariants to classical enumerative counts of rational curves with balanced normal bundles.

Rodolfo Aguilar2026-03-04🔢 math

Dévissage for Algebraic K-theory of Small Stable $\infty$ -categories

This paper extends the theorem of the heart to generic small stable $\infty$ -categories by establishing sufficient conditions under which an exact functor induces isomorphisms of non-negative algebraic K-groups, thereby generalizing Quillen's dévissage theorem.

Chunhui Wei2026-03-04🔢 math

Blind Identification of Channel Codes: A Subspace-Coding Approach

This paper proposes a new "minimum denoised subspace discrepancy decoder" for the blind identification of channel codes on binary symmetric channels, which combines Hamming and subspace metrics to provide rigorous theoretical guarantees and demonstrate superior performance over existing methods, particularly for random linear codes with limited data.

Pramod Singh, Prasad Krishnan, Arti Yardi2026-03-04🔢 math

Projective reflection groups of finite covolume

This paper characterizes Coxeter polytopes with finite volume in their Vinberg domains as quasiperfect polytopes of negative type and establishes that, for dimensions at least two, the Vinberg domain is the unique invariant properly convex domain if and only if the group action has finite covolume.

Balthazar Fléchelles, Seunghoon Hwang2026-03-04🔢 math

Quasihomomorphisms to real algebraic groups

This paper extends the rigidity theory of quasihomomorphisms from discrete groups to real linear algebraic groups by proving that such maps can be constructed from homomorphisms and sections of bounded central extensions.

Sami Douba, Francesco Fournier-Facio, Sam Hughes + 1 more2026-03-04🔢 math

Facet-Defining Inequalities for the Angle-Based DC Optimal Transmission Switching Formulation

This paper challenges the prevailing view that tightening voltage angle bounds in the Direct-Current Optimal Transmission Switching problem requires solving an intractable longest path problem by presenting a novel polyhedral analysis that derives facet-defining inequalities to construct an extended formulation for the convex hull of the angle-based relaxation.

Behnam Jabbari-Marand, Adolfo R. Escobedo2026-03-04🔢 math

Long-time asymptotics of (1,3)-sign solitary waves for the damped nonlinear Klein-Gordon equation

This paper proves that for the damped nonlinear Klein-Gordon equation in dimensions 2 to 5, any solution asymptotically approaching a superposition of four solitons with exactly one opposite sign evolves such that the three like-signed solitons arrange themselves into an equilateral triangle centered around the single oppositely signed soliton.

Kenjiro Ishizuka2026-03-04🔢 math

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