Algebraic geometry

The 21 problems with a statement whose AMS attribute names 14, Algebraic geometry, in the Mathematics Subject Classification. A problem with statements in several subjects is listed under each; its article sits in its source folder's part.

Some conjectures about ranks of… to The Birch and Swinnerton-Dyer…

• Some conjectures about ranks of elliptic curves over ℚ
• The Hasse--Weil conjecture for elliptic curves
• Jacobian conjecture
• Local uniformization
• Rational_variety
• Resolution of singularities
• Sato–Tate conjecture
• Serre's multiplicity conjectures
• Ben Green's Open Problem 68
• Is a finite locally free group scheme killed by its order?
• Hartshorne's conjecture on Vector Bundles
• Monochromatic quantum graphs (inherited vertex colorings)
• Pfister's problem on the Pythagoras number of \(\mathbb{R}(X_1, \dots, X_n)\)
• Serre's uniformity conjecture over the rationals
• Generic and maximal rank of 3-tensors
• Zariski Cancellation
• Finite generation of the cohomology of finite-dimensional Hopf algebras
• The Dixmier Conjecture
• The Poisson Conjecture
• The Birch and Swinnerton-Dyer (BSD) Conjecture

Lam--Litt conjecture

• Lam--Litt conjecture

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