Complex Divisors on Algebraic Curves and Some Applications to String Theory

Details Complex Divisors on Algebraic Curves and Some Applications to String Theory Complex Divisors on Algebraic Curves and Some Applications to String Theory

1992-02-27

arxiv.org/abs/alg-geom/9202028v1

Contemp. Math. 131, part 3, 515-522 (1992)

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, LaTeX

Scientific paper

These are notes of a talk to the International Conference on Algebra in honor of A. I. Mal'tsev, Novosibirsk, USSR, 1989 (to appear in Contemporary Mathematics). The concept of a divisor with complex coefficients on an algebraic curve is introduced. We consider families of complex divisors, or, equivalently, families of invertible sheaves and define Arakelov-type metrics on some invertible sheaves produced from them on the base. We apply this technique to obtain a formula for the measure on the moduli space that gives tachyon correlators in string theory.

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