论文标题
在淋巴结曲线上半稳线的模量空间的hodge猜想
Hodge conjecture for the moduli space of semi-stable sheaves over a nodal curve
论文作者
论文摘要
在本文中，我们证明了第2级模量空间的降低猜测，即至少至少在2属的非常不可还原的淋巴结曲线上具有固定奇数决定因素的半稳定，无扭转的或骨。
In this article, we prove the Hodge conjecture for a desingularization of the moduli space of rank 2, semi-stable, torsion-free sheaves with fixed odd degree determinant over a very general irreducible nodal curve of genus at least 2. We also compute the algebraic Poincare polynomial of the associated cohomology ring.
