Differential Forms on Singular Varieties

Explore the intricate world of mathematics with Differential Forms on Singular Varieties by Vincenzo Ancona, published by Taylor & Francis Ltd in 2005. This comprehensive hardback edition spans 332 pages and delves into the Deligne theory of mixed Hodge structures, focusing on the cohomology of singular spaces.

Ancona employs a unique approach using complexes of differential forms, offering a thorough treatment that utilizes recursive arguments on dimension. Notably, this book avoids introducing spaces of higher dimensions than the initial space, making it accessible for readers seeking to deepen their understanding of differential equations, geometry, and singularities in mathematics.

Whether you are a student, educator, or a mathematics enthusiast, this book is an essential addition to your library, providing valuable insights into the relationship between differential forms and singular varieties.