General Elephant
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algebraic geometry Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...
, ''general elephant'' is an idiosyncratic name for a general element of the anticanonical system of a variety, introduced by
Miles Reid Miles Anthony Reid FRS (born 30 January 1948) is a mathematician who works in algebraic geometry. Education Reid studied the Cambridge Mathematical Tripos at Trinity College, Cambridge and obtained his Ph.D. in 1973 under the supervision of ...
. For 3-folds the general elephant problem (or conjecture) asks whether general elephants have at most du Val singularities; this has been proved in several cases.


References

* Algebraic geometry {{algebraic-geometry-stub