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Start Over Author "Gavril Farkas" Publisher societe mathematique de france
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2. Divisors on and the minimal resolution conjecture for points on canonical curves

Author

Mircea Mustaţǎ, Mihnea Popa, and Gavril Farkas

Subjects
Pure mathematics, Practical number, Mathematics::Algebraic Geometry, Conjecture, Betti number, General Mathematics, Mathematical analysis, Family of curves, Vector bundle, Theta divisor, Algebraic geometry, Moduli space, Mathematics
Abstract

We use geometrically defined divisors on moduli spaces of pointed curves to compute the graded Betti numbers of general sets of points on any nonhyperelliptic canonically embedded curve. This gives a positive answer to the Minimal Resolution Conjecture in the case of canonical curves. But we prove that the conjecture fails on curves of large degree. These results are related to the existence of theta divisors associated to certain stable vector bundles.

Published
2003
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