OpenAI Math·Subject
Algebraic and complex geometry
36 of the 372 results in OpenAI's maths catalogue are in algebraic and complex geometry. Each page quotes OpenAI's own summary, links the preprints and embeds the animation once it is released.
All 36 results
- 032The rational Hodge conjecture for CM abelian varieties
- 033Iitaka subadditivity, variation, and logarithmic additivityLean
- 034Log abundance for compact Kähler spaces under logarithmic Iitaka subadditivity
- 035Log-canonical threefold abundance in numerical dimension one
- 036Numerical semiampleness and generalized minimal models
- 037The ordinary-double-point volume gap
- 038Fujita’s freeness conjecture
- 039Nagata’s conjecture and maximal Seshadri constantsLean
- 040Bloch’s conjecture for complex surfaces
- 041Hyperkähler SYZ and projective-space bases
- 042Oka classification for minimal compact complex surfaces: Kodaira dimension zero and class VII
- 043P = W for fixed-determinant SLn moduli spaces
- 044The equivariant cohomological Hikita conjecture
- 046Shafarevich counterexamples in dimension two and with large fundamental group
- 047Zariski cancellation and affine fibrations over the complex numbersLean
- 048A characteristic-zero counterexample to Lipman–Zariski
- 049A stable-coordinate counterexample in four variablesLean
- 050A counterexample to Griffiths’ positivity conjectureLean
- 051Kobayashi’s canonical-ampleness conjecture
- 052Tangent splittings and product decompositionsLean
- 053A counterexample to Pixton completeness in Chow
- 054Irrational cubic fourfolds with Hodge-theoretic and categorical K3 associations
- 055Gepner symmetry and large-volume stability on threefolds
- 056Termination of projective and Kähler fourfold minimal model programs
- 057Fundamental groups of special complex varieties and root orbifolds
- 058Semialgebraic universal covers and bounded domainsLean
- 059Counterexamples to Zariski’s multiplicity conjecture
- 060The Global Spherical Shell conjecture
- 062Projective contact classification and the LeBrun–Salamon conjecture
- 063The generalized Mukai conjecture
- 064Topological triviality of μ-constant surface singularities
- 065Virasoro constraints for complete intersections and projective-bundle towers
- 066Bounded klt complements for Fano contractionsLean
- 067The Campana–Peternell conjecture in dimension six
- 068Anticanonical nonvanishing in every dimension
- 069Global quantum geometric Langlands at irrational level
Other subjects
- Theoretical computer science 40
- Combinatorics 37
- Number theory 31
- Differential geometry 29
- Probability and statistical mechanics 29
- Mathematical physics 25
- Operator algebras 19
- Algebra 18
- Topology 18
- Partial differential equations 16
- Real and complex analysis 16
- Convex and metric geometry 15
- Group theory 14
- Dynamical systems and ergodic theory 12
- Functional analysis 11
- Mathematical logic 6