## Methods of Algebraic Geometry:All three volumes of Hodge and Pedoe's classic work have now been reissued. Together, these books give an insight into algebraic geometry that is unique and unsurpassed. |

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Methods of Algebraic Geometry: William Vallance Douglas Hodge,W. V. D. Hodge,D. Pedoe Limited preview - 1994 |

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additive group algebraic extension algebraic variety algebraically independent Basis Theorem holds belongs birational correspondence birational transform birationally equivalent centre coefﬁcients coeﬂicients conjugates consider contained coordinate system corre deﬁnition degree of homogeneity denote dimension zero element of F equation exists an integer ﬁn ﬁnd ﬁnite distance ﬁnite number ﬁnite set ﬁrst follows fractional ideal function ﬁeld ground ﬁeld Hence ideal of non-units integral domain integrally closed integrally dependent intersection irreducible subvariety irreducible variety isolated component isolated subgroup isomorphic Lemma mapping maximal ideal monoidal transform non-unit of Q non-zero element obtain primary ideals prime ideal properties quasi-equal quotient ﬁeld quotient ring rationally independent real numbers residue ﬁeld resolving system satisﬁes simple point suﬂicient Suppose THEOREM VII uniformising parameters unique variety unit ideal valuation group valuation ring vanish variety deﬁned variety of dimension zero-dimensional valuation