The study of Algebraic Curves, Algebraic Varieties, and their generalization to -D.
See also Algebraic Curve, Algebraic Variety, Commutative Algebra, Differential Geometry, Geometry, Plane Curve, Space Curve
References
Abhyankar, S. S. Algebraic Geometry for Scientists and Engineers. Providence, RI: Amer. Math. Soc., 1990.
Cox, D.; Little, J.; and O'Shea, D. Ideals, Varieties, and Algorithms: An Introduction to
Algebraic Geometry and Commutative Algebra, 2nd ed. New York: Springer-Verlag, 1996.
Eisenbud, D. Commutative Algebra with a View Toward Algebraic Geometry. New York: Springer-Verlag, 1995.
Griffiths, P. and Harris, J. Principles of Algebraic Geometry. New York: Wiley, 1978.
Hartshorne, R. Algebraic Geometry, rev. ed. New York: Springer-Verlag, 1997.
Lang, S. Introduction to Algebraic Geometry. New York: Interscience, 1958.
Pedoe, D. and Hodge, W. V. Methods of Algebraic Geometry, Vol. 1. Cambridge, England: Cambridge University Press, 1994.
Pedoe, D. and Hodge, W. V. Methods of Algebraic Geometry, Vol. 2. Cambridge, England: Cambridge University Press, 1994.
Pedoe, D. and Hodge, W. V. Methods of Algebraic Geometry, Vol. 3. Cambridge, England: Cambridge University Press, 1994.
Seidenberg, A. (Ed.). Studies in Algebraic Geometry. Washington, DC: Math. Assoc. Amer., 1980.
Weil, A. Foundations of Algebraic Geometry, enl. ed. Providence, RI: Amer. Math. Soc., 1962.