Function Fields: Divisors

• Degree, arithmetic and various other, related operations
• Divisor of an algebraic function
• Canonical divisor
• Different divisor
• Ramification divisor
• Properties: Effective, positive, principal, special, canonical
• Riemann-Roch space ${\cal L}(D)$ of a divisor D, given by a k-basis of algebraic functions
• Index of speciality
• Divisor reduction
• Wronskian orders, gap numbers, ramification divisor and Weierstrass places with respect to a divisor
• Number of smooth divisors (global case)