An Alternate Approach to Solitons for Fq[t]

✍ Scribed by Dinesh S. Thakur

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 170 KB
• Volume: 76
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1006/jnth.1998.2357

✦ Synopsis

We describe an alternate approach to the solitons for F q [t] introduced by Anderson. The product of the monic polynomials in F q [t] of degree i in a given congruence class can be expressed in a compact form by the solitons ``for all i at once.'' They also link the arithmetic of F q [t] gamma values at fractions to the analogues of Jacobians of Fermat curves in the setting of higher dimensional generalizations of Drinfeld modules. We will calculate explicit equations, formulae and bound the support of the divisors of the solitons. We also show how the generalization of this approach differs from the one suggested by Anderson's approach.