i. geometry of the abelian sum map u in low genera
appendix b
theta characteristics
1. norm maps
2. the weil pairing
3. theta characteristics
4. quadratic forms over z/2
appendix c
prym varieties
　exercises
chapter vll
the existence and connectedness theorems for pwd(c)
1. ample vector bundles
2. the existence theorem
3. the conneetedness theorem
4. the class of w,(c)
5. the class of c
　bibliographical notes
　exercises
　a. the connectedness theorem
　b. analytic cohomology of cd, d < 2g - 2
　c. excess linear series
chapter viii
enumerative geometry of curves
1. the grothendieck-riemann-roch formula
2. three applications of the grothendicck-riemann-roch formula
3. the secant plane formula: special cases
4. the general secant plane formula
5. diagonals in the symmetric product
　bibliographical notes
　exercises
　a. secant planes to canonical curves
　b. weierstrass pairs
　c. miscellany
　d. push-pull formulas for symmetric products
　e. reducibility of wg-l n (wg-1 + u) (ii)
　f. every curve has a base-point-free g1- 1
bibliography
index

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