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Abeliants and their application to an elementary construction of Jacobians Greg W. Anderson  (Make Corrections)  
School of Mathematics, Univ. of Minnesota, Minneapolis, MN 55455, USA



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Abstract: The abeliant is a polynomial rule which to each n by n by n+2 array with entries in a commutative ring with unit associates an n by 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.... (Update)

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BibTeX entry:   (Update)

@misc{ mathematics-abeliants,
  author = "School Of Mathematics",
  title = "Abeliants and their application to an elementary construction of Jacobians
    Greg W. Anderson",
  url = "citeseer.ist.psu.edu/627031.html" }
Citations (may not include all citations):
161   A course of modern analysis (context) - Whittaker, Watson - 1927
128   A subexponential algorithm for discrete logarithms over hype.. (context) - Adleman, DeMarrais et al. - 1999
19   Frobenius maps of abelian varieties and finding roots of uni.. (context) - Pila - 1990
16   Automorphic Forms on GL (context) - Jacquet, Langlands - 1970
11   Jacobian varieties (context) - Milne - 1986
5   Cycles of quadratic polynomials and rational points on a gen.. - Flynn, Poonen et al. - 1997
4   Zur Theorie der elliptischen Functionen (context) - Frobenius, Stickelberger
3   Determinantal equations for curves of high degree (context) - Eisenbud, Koh et al. - 1988
2   Tata Lectures on Theta II: Jacobian Theta Functions and Di#e.. (context) - Mumford - 1984
2   An explicit algebraic representation of the Abel map (context) - Anderson - 1997

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