In this chapter we have collected a few foundational results about determinantal varieties that we will need in later chapters. The main application of the results in this chapter will be to the varieties of special divisors on curves. These varieties have in fact a natural determinantal structure defined in terms of the Brill-Noether matrix, and their study is the central theme of this book. Another ubiquitous example of determinantal variety is the one of rational normal scrolls.
KeywordsVector Bundle Chern Class Tangent Cone Schubert Variety Determinantal Variety
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