Mathematics catalogue
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-9901 Median Actions and Residual Finiteness for Hyperbolic Groups with Sphere Boundary
- Math-9902 Pure-power Hilbert functions for complex Artinian complete intersections
- Math-9903 Lex-plus-powers Betti bounds for Artinian quotients over C
- Math-9904 Projectivity from simultaneous self-Ext and algebra-Ext vanishing
- Math-9905 A dimension-free quadratic bound for the canonical Foulkes–Howe map
- Math-9906 Complex group-ring traces vanish on infinite-order classes
- Math-9907 Deciding finite-algebra congruence-lattice representability
- Math-9908 Higher Verlinde fiber functors in positive characteristic
- Math-9909 Foulkes inclusion for the sixth symmetric power
- Math-9910 Integral block finiteness over a fixed complete valuation ring
- Math-9911 Integral K3 injectivity for regular local domains
- Math-9912 Integral K5 injectivity for regular local domains
- Math-9913 Finite central dimension of algebraic finitely generated division rings
- Math-9914 Finite torsion-class support for traces over l1 group algebras
- Math-9915 Finiteness of the little finitistic dimension
- Math-9916 Every irreducible occurs in the staircase tensor square
- Math-9917 Saturation factor one for even Spin groups
- Math-9918 An irreducible tensor square containing every symmetric-group representation
- Math-9919 Self-Ext vanishing over symmetric algebras
- Math-9920 Algebraicity of the prescribed Kuga–Satake map
- Math-9921 Algebraicity of split Weil-type eightfold classes
- Math-9922 All ordinary Kähler klt fourfold programs terminate
- Math-9923 All rational-boundary projective lc fourfold programs terminate
- Math-9924 Rank-preserving contraction for anticanonical fibrations
- Math-9925 Integral Bloch statement for surfaces of geometric genus zero
- Math-9926 Arithmetic Stein-degree bounds for log Calabi–Yau boundaries
- Math-9927 Bounded local klt complements for Fano contractions
- Math-9928 Bounded-metric anticanonical nonvanishing for klt pairs
- Math-9929 Bounded denominators in low-dimensional log Calabi–Yau fibrations
- Math-9930 Campana–Peternell for Fano sixfolds
- Math-9931 Abelianity of special compact Kähler fundamental groups
- Math-9932 Canonical minimal models in numerical dimension one
- Math-9933 Canonical nonvanishing for smooth fourfolds
- Math-9934 The cohomological Hikita isomorphism for quivers
- Math-9935 Conditional good models for strongly Q-factorial Kähler fourfolds
- Math-9936 Kähler log abundance assuming logarithmic Iitaka
- Math-9937 Conditional abelianity for special half-weight fourfold pairs
- Math-9938 Existence of a finite ordinary Kähler fourfold program
- Math-9939 Generalized-canonical flip termination on Kähler fourfolds
- Math-9940 Generalized Hodge support on CM abelian varieties
- Math-9941 Generalized lc flip termination on Kähler fourfolds
- Math-9942 Minimal or Mori models for generalized rational lc pairs
- Math-9943 The generalized Mukai pseudoindex assertion
- Math-9944 Gepner-type numerical stability on quintic threefolds
- Math-9945 Rational Hodge classes on CM abelian varieties
- Math-9946 Hodge support on a specified K3 quadratic locus
- Math-9947 Hodge classes on generic abelian-cover Jacobian powers
- Math-9948 Hodge classes on diagonal complete-intersection powers
- Math-9949 Hodge classes on powers of split Weil sixfolds
- Math-9950 Rational Hodge classes on products of K3 surfaces