Abstract
It is immediately apparent from the definition, and the basic examples we studied, that the concept of a scheme is far more general than the concept of a variety as introduced in Chap. 1, just as a topological space is much more general than a subset of \(\mathbb {R}^n\). What are the properties of schemes we should study?
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References
P. Deligne, La conjecture de Weil I. Inst. Hautes Études Sci. Publ. Math. 43, 273–307 (1974)
P. Deligne, La conjecture de Weil II. Inst. Hautes Études Sci. Publ. Math. 52, 137–252 (1980)
J.P. May, A Concise Course in Algebraic Topology (University of Chicago Press, Chicago, 1999)
J.R. Munkres, Elements of Algebraic Topology (Taylor and Francis, Boca Raton, 1996)
J.H. Silverman, The Arithmetic of Elliptic Curves (Springer, New York, 2016)
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Kriz, I., Kriz, S. (2021). Properties of Schemes. In: Introduction to Algebraic Geometry. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-62644-0_3
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DOI: https://doi.org/10.1007/978-3-030-62644-0_3
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