Top Open Problems
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
Browse by subject
Search this collection by problem ID, title, classification, subject, provider, or model.
Search results
No matching problems. Try another search or clear a filter.
5,373 records · Search and filter
- Math-2551 Canonical minimal models in numerical dimension one
- Math-2552 Canonical nonvanishing for smooth fourfolds
- Math-2553 The cohomological Hikita isomorphism for quivers
- Math-2554 Conditional good models for strongly Q-factorial Kähler fourfolds
- Math-2555 Kähler log abundance assuming logarithmic Iitaka
- Math-2556 Conditional abelianity for special half-weight fourfold pairs
- Math-2557 Existence of a finite ordinary Kähler fourfold program
- Math-2558 Generalized-canonical flip termination on Kähler fourfolds
- Math-2559 Generalized Hodge support on CM abelian varieties
- Math-2560 Generalized lc flip termination on Kähler fourfolds
- Math-2561 Minimal or Mori models for generalized rational lc pairs
- Math-2562 The generalized Mukai pseudoindex assertion
- Math-2563 Gepner-type numerical stability on quintic threefolds
- Math-2564 Rational Hodge classes on CM abelian varieties
- Math-2565 Hodge support on a specified K3 quadratic locus
- Math-2566 Hodge classes on generic abelian-cover Jacobian powers
- Math-2567 Hodge classes on diagonal complete-intersection powers
- Math-2568 Hodge classes on powers of split Weil sixfolds
- Math-2569 Rational Hodge classes on products of K3 surfaces
- Math-2570 Kähler fourfold abundance after nonvanishing
- Math-2571 B-semiampleness for compact Kähler log-smooth fibrations
- Math-2572 Numerical semiampleness of Kähler adjoints
- Math-2573 A geometric criterion for Kuga–Satake algebraicity
- Math-2574 Numerical-dimension-one log abundance in characteristic above three
- Math-2575 Logarithmic Kodaira additivity under stratum smoothness
- Math-2576 Maximal multipoint Seshadri constants in higher complex dimension
- Math-2577 Generic maximal Seshadri constants in positive characteristic
- Math-2578 Rational effectivity modulo a controlled boundary
- Math-2579 Topological right-triviality of constant-Milnor surface families
- Math-2580 Polynomiality of the natural invariant anticanonical index
- Math-2581 Zero Lelong numbers for minimal metrics on nef adjoints
- Math-2582 The Oka property for every complex K3 surface
- Math-2583 The ordinary-double-point normalized-volume gap
- Math-2584 The four-dimensional normalized-volume gap
- Math-2585 Virasoro constraints for projective complete intersections
- Math-2586 Completeness of original Pixton relations on closed moduli
- Math-2587 Prescribed large-volume stability charges on threefolds
- Math-2588 Bases of projective Lagrangian fibrations
- Math-2589 Numerical semiampleness of projective adjoints
- Math-2590 P=W for fixed-determinant trace-free coprime moduli
- Math-2591 Split tangents on rationally connected projective manifolds
- Math-2592 Schnell’s fiber-space assertion in Kodaira dimension zero
- Math-2593 Symmetry of bounded semialgebraic domains with compact quotient
- Math-2594 Classification of semialgebraic projective universal covers
- Math-2595 Removing a fixed pseudo-effective anticanonical error
- Math-2596 Invariant anticanonical sections under structure-sheaf acyclicity
- Math-2597 Invariant anticanonical sections with nonzero Euler characteristic
- Math-2598 Anticanonical nonvanishing from smooth semipositivity
- Math-2599 Two-step linear images of special quasi-projective groups
- Math-2600 Universal-cover products for integrable tangent summands