Abstract
The abeliant is a polynomial rule which to each n × n by n + 2 array with entries in a commutative ring with unit associates an n × n matrix with entries in the same ring. The theory of abeliants, first introduced in an earlier paper of the author, is simplified and extended here. Now let J be the Jacobian of a nonsingular projective algebraic curve defined over an algebraically closed field. With the aid of the theory of abeliants we obtain explicit defining equations for J and its group law.
Original language | English (US) |
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Pages (from-to) | 169-205 |
Number of pages | 37 |
Journal | Advances in Mathematics |
Volume | 172 |
Issue number | 2 |
DOIs | |
State | Published - Dec 25 2002 |