摘要翻译：
第1讲：射影与K\\“Ahler流形，恩里克分类，构造技术。第2讲：一般型曲面及其正则模型。变形等价与奇性。第3讲：变形与微分同态，一般型曲面的正则辛结构。第4讲：无理铅笔，轨道基本群，与乘积等价曲面。第5讲：Lefschetz铅笔，编织类群和映射类群，以及ABC曲面的微分同态。结语：一般型曲面的变形、微分同态和辛形态类型。
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英文标题：
《Differentiable and deformation type of algebraic surfaces, real and
  symplectic structures》
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作者：
Fabrizio Catanese (Universitaet Bayreuth)
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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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一级分类：Mathematics        数学
二级分类：Symplectic Geometry        辛几何
分类描述：Hamiltonian systems, symplectic flows, classical integrable systems
哈密顿系统，辛流，经典可积系统
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英文摘要：
  Lecture 1: Projective and K\"ahler Manifolds, the Enriques classification, construction techniques. Lecture 2: Surfaces of general type and their Canonical models. Deformation equivalence and singularities. Lecture 3: Deformation and diffeomorphism, canonical symplectic structure for surfaces of general type. Lecture 4: Irrational pencils, orbifold fundamental groups, and surfaces isogenous to a product. Lecture 5: Lefschetz pencils, braid and mapping class groups, and diffeomorphism of ABC-surfaces. Epilogue: Deformation, diffeomorphism and symplectomorphism type of surfaces of general type.
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PDF链接：
https://arxiv.org/pdf/0705.1522