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Preliminary Material

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Part of the book series: Developments in Mathematics ((DEVM,volume 42))

Abstract

This chapter is a brief review of commutative algebra and algebraic geometry. We have included basic definitions and results, but omitted many proofs. For details in commutative algebra, we refer the reader to [21, 72] and in algebraic geometry to [28, 75].

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References

  1. Eisenbud, D.: Commutative Algebra with a View Toward Algebraic Geometry. Graduate Texts in Mathematics, vol. 150. Springer, New York (2004)

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  2. Hartshone, R.: Algebraic Geometry. Graduate Texts in Mathematics, vol. 52. Springer, New York (1997)

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  3. Matijevic, J.: Three local conditions on a graded ring. Trans. Am. Math. Soc. 205, 275–284 (1975)

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  4. Matsumura, H.: Commutative Ring Theory. Cambridge Studies in Advanced Mathematics, vol. 8. Cambridge University Press, Cambridge (1986)

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Lakshmibai, V., Brown, J. (2015). Preliminary Material. In: The Grassmannian Variety. Developments in Mathematics, vol 42. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-3082-1_2

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