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al·ge·bra·ic [ˌælʤɪ'breɪɪk] ADJ

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Depending on the restrictions applied to the classes of algebraic curves considered, the corresponding moduli problem and the moduli space is different. en.wikipedia.org

It is derived from the algebraic notation used for chess, but differs in several respects. en.wikipedia.org

The problem for the ring of integers of algebraic number fields other than those covered by the results above remains open. en.wikipedia.org

The plurigenera are important birational invariants of an algebraic variety. en.wikipedia.org

Analysis of these singular points can be reduced to the algebraic variety case by considering the jets of the mapping. en.wikipedia.org

For elliptic curves, potential good reduction is equivalent to the j-invariant being an algebraic integer. en.wikipedia.org

He has mastered techniques at the interfaces between complex variables, differential geometry, and algebraic geometry. en.wikipedia.org

Peripheral systems are used in knot theory as a complete algebraic invariant of knots. en.wikipedia.org

We define the cohomology class of an algebraic cycle to be the sum of the cohomology classes of its components. en.wikipedia.org

It follows that any variety in positive characteristic whose "l" -adic cohomology is generated by algebraic cycles is supersingular. en.wikipedia.org

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