7438 papers
This paper introduces derived projective covers to establish an if-and-only-if criterion for them forming a silting collection and proves a Koszul duality result linking silting and simple-minded collections.
This paper proves that the set of nonzero squares in a finite field (for odd ) cannot be expressed as a restricted sumset , while also extending these results to general multiplicative subgroups and perfect powers, and establishing an analogue of the van Lint-MacWilliams conjecture for restricted sumsets.
This paper proves that Dehn fillings of mapping tori derived from orientation-preserving pseudo-Anosov homeomorphisms with co-orientation-reversing monodromy admit co-orientable taut foliations for a specific range of multislopes, a result that characterizes all non-L-space fillings for certain hyperbolic fibered knot manifolds, including -pretzel knots.
This paper proposes an enriched version of universal algebra over a base category by defining languages with -ary function symbols and recursively constructing terms using 's morphisms and monoidal structure, ultimately characterizing algebras for finitary monads on as models of enriched equational theories.
This paper introduces the biflats complex of a matroid and demonstrates through elementary collapses that it is simple homotopy equivalent to both the conormal complex and the simplicial join of the Bergman complexes of the matroid and its dual, while also analyzing their distinct combinatorial properties.
This paper introduces a target-based distributionally robust optimization framework for the minimum spanning tree problem with unknown edge weight distributions, proposing two exact algorithms based on Benders decomposition and a modified Prim algorithm to achieve a balance between computational tractability and robustness in large-scale stochastic networks.
This paper extends the concepts of the -property and full Reidemeister spectrum to finite groups and identifies examples of groups exhibiting these properties by examining small-order and (quasi)simple groups.
This paper introduces and analyzes affine Deligne–Lusztig varieties of positive Coxeter type, demonstrating their simple geometric structure and showing how this generalization extends previous results on finite Coxeter type to yield new applications for Shimura varieties.
This paper defines gravitational descendants and equivariant Gromov-Witten invariants for general symplectic manifolds using global Kuranishi charts, proves they satisfy the Kontsevich-Manin axioms, establishes a virtual localization formula to derive explicit invariants for Hamiltonian manifolds, and compares these results with existing semipositive cases.
This paper establishes a weak inequality for fractional homogeneous Sobolev spaces and proves and weak-type boundedness estimates for generalized Littlewood-Paley functions, including , , and , within the framework of homogeneous Triebel-Lizorkin spaces.
This paper investigates partitions defined by Möbius convolution weights by establishing upper bounds via exponential sums, deriving asymptotic formulas for odd and even partitions, and relating major arc contributions to the zeros of the Riemann zeta-function.
This paper establishes upper and lower bounds on the number of rational matrices with bounded height for a given rank, and subsequently applies these results to count matrices with specific determinants or characteristic polynomials.
This paper establishes the global-in-time existence and diffusive decay of small solutions to the viscoelastic Klein-Gordon equation with general smooth nonlinearity by employing the space-time resonances method to eliminate nonresonant terms and identifying a specific sign condition for the critical resonant term, while also demonstrating existence and decay on exponentially long time intervals when this condition is not met.
This paper investigates -transitivity and topological -recurrence for backward shift operators on weighted sequence spaces over directed trees, establishing specific equivalences between recurrence and hypercyclicity for both unrooted and rooted tree structures.
This paper investigates an unexpected abundance of doubly isogenous genus 2 curves with automorphism groups over finite fields, leading to the surprising construction of a global example over a number field, a theoretical limit on such instances via the Zilber–Pink conjecture, and potential applications in deterministic polynomial-time polynomial factorization.
This paper establishes that the operator norm of Fourier and dyadic paraproducts mapping between Hardy spaces and is comparable to the norm of the symbol function in the homogeneous Hardy space , where the exponents satisfy the relation .
This paper generalizes the concept of boundary pairs from locally compact groups to measured groupoids, demonstrating their structural properties in semidirect products and Poisson boundaries, and establishing the existence of equivariant maps to algebraic group quotients for ergodic groupoids with Zariski dense representations.
This paper establishes a functional version of the additive kinematic formula by combining the Hadwiger theorem on convex functions with a Kubota-type formula for mixed Monge-Ampère measures, thereby providing a new explanation for the equivalence of functional intrinsic volume representations and deriving a novel integral geometric formula for mixed area measures.
This paper classifies the conditions under which the edge ideal powers of a connected graph admit a minimal Lyubeznik resolution and characterizes when they are bridge-friendly, thereby guaranteeing a minimal Barile-Macchia cellular resolution.
This paper constructs unbalanced superalgebra structures on induced by a non-degenerate symmetric bilinear form and a base vector, then applies these findings to address problems in integer matrix factorization and the isometry of integral lattices.