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摘要翻译：
对于Gorenstein曲线X和X的非奇点P,我们构造了从X到J_x^1的Abel映射a和从X到J_x^0的Abel映射A_P,其中J_x^i是X上简单的、无扭转的、阶为1的滑轮的模格式。证明了A和A_P的图像曲线具有相同的X算术亏格，并证明了A和A_P是远离X有理子曲线L的嵌入，满足X-L在分离结点上的闭包。最后，我们建立了Seshadri的模格式U_X(1)与X上半稳、无扭转、秩-1滑轮的联系，得到了a(X)在U_X(1)中的嵌入。
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英文标题：
《Abel maps of Gorenstein curves》
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作者：
Lucia Caporaso, Juliana Coelho and Eduardo Esteves
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
For a Gorenstein curve X and a nonsingular point P of X, we construct Abel maps A from X to J_X^1 and A_P from X to J_X^0, where J_X^i is the moduli scheme for simple, torsion-free, rank-1 sheaves on X of degree i. The image curves of A and A_P are shown to have the same arithmetic genus of X. Also, A and A_P are shown to be embeddings away from rational subcurves L of X meeting the closure of X-L in separating nodes. Finally, we establish a connection with Seshadri's moduli scheme U_X(1) for semistable, torsion-free, rank-1 sheaves on X, obtaining an embedding of A(X) into U_X(1).
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PDF链接：
https://arxiv.org/pdf/0712.1457
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