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Determinantal Varieties

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Book cover Algebraic Geometry

Part of the book series: Graduate Texts in Mathematics ((GTM,volume 133))

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Abstract

In this lecture we will introduce a large and important class of varieties, those whose equations take the form of the minors of a matrix. We will see that many of the varieties we have looked at so far—Veronese varieties, Segre varieties, rational normal scrolls, for example — are determinantal.

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© 1992 Springer Science+Business Media New York

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Harris, J. (1992). Determinantal Varieties. In: Algebraic Geometry. Graduate Texts in Mathematics, vol 133. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-2189-8_9

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  • DOI: https://doi.org/10.1007/978-1-4757-2189-8_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3099-6

  • Online ISBN: 978-1-4757-2189-8

  • eBook Packages: Springer Book Archive

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