曲线守恒配位方案上同调束的扩展群

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS

ACS Applied Bio Materials Pub Date : 2024-07-25 DOI:10.1016/j.matpur.2024.103600

Andreas Krug

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引用次数: 0

摘要

我们证明了在复杂光滑投影曲线上的标点 Quot 方案上的同调束的同调群和扩展群的公式。作为推论，我们证明了同调束决定了曲线上原始向量束的同构类。我们还给出了同调束对偶张量和楔积沿 Quot-Chow 形态的前推消失结果。

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Extension groups of tautological bundles on punctual Quot schemes of curves

We prove formulas for the cohomology and the extension groups of tautological bundles on punctual Quot schemes over complex smooth projective curves. As a corollary, we show that the tautological bundle determines the isomorphism class of the original vector bundle on the curve. We also give a vanishing result for the push-forward along the Quot–Chow morphism of tensor and wedge products of duals of tautological bundles.

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来源期刊

ACS Applied Bio Materials Chemistry-Chemistry (all)

CiteScore

9.40

自引率

2.10%

发文量

464