Abstract
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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1985 Springer Science+Business Media New York
About this chapter
Cite this chapter
Arbarello, E., Cornalba, M., Griffiths, P.A., Harris, J. (1985). Determinantal Varieties. In: Geometry of Algebraic Curves. Grundlehren der mathematischen Wissenschaften, vol 267. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-5323-3_2
Download citation
DOI: https://doi.org/10.1007/978-1-4757-5323-3_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-2825-2
Online ISBN: 978-1-4757-5323-3
eBook Packages: Springer Book Archive