Reider定理与Thaddeus对的再认识
Reider's Theorem and Thaddeus Pairs Revisited
摘要：
Bridgeland稳定性条件允许将Thaddeus对新的推广到曲面，并对Reider定理进行新的解释，作为稳定对象的“Schur引理”的结果（如果E，F是稳定对象，并且E的斜率超过F的斜率，则Hom（E，F）= 0）。Reider定理结果的一个改进（命题3.8/推论3.9），以及新Thaddeus对的壁交叉被讨论。这篇论文提交给了CMI会议记录，以庆祝彼得·纽斯特德65岁生日。
英文摘要：
Bridgeland stability conditions allow for a new generalization of Thaddeus pairs to surfaces and a new interpretation of Reider's theorem as a consequence of "Schur's lemma" for stable objects (Hom(E,F) = 0 if E,F are stable objects and the slope of E exceeds the slope of F). One improvement of Reider's theorem results (Proposition 3.8/Corollary 3.9), and wall-crossings for the new Thaddeus pairs are discussed. This paper was submitted to the CMI conference proceedings celebrating the 65th birthday of Peter Newstead.
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