On a Conjecture of Drinfeld

2022/02/24 by Pal, Sarbeswar
#14J60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2202.11874

Abstract

Let C be smooth irreducible projective curve of genus g ≥ 2. Let M_C(n, δ) be moduli space of stable vector bundles on C of rank n and fixed determinant δ of degree d. Then the locus of wobbly bundles are known to be closed in M_C(n, δ). Drinfeld has conjectured that the wobbly locus is pure of co-dimension one, i.e., they form a divisor in M_C(n, δ). In this article, we will give a prove of the conjecture.

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