"Surveys and applies fundamental ideas and techniques in the theory of curves, surfaces, and threefolds to a wide variety of subjects. Furnishes all of the basic definitions necessary for understanding and provides interrelated articles that support and refer to one another."
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Geometry of Toric Varieties
Integration of Algebraic Functions and
MacPhersons Graph Construction
An Overview of Algebraic Surfaces
Computing Invariants of Hypersurface Singularities
Some Milestones of Lemniscatomy
Abelian affine algebraic algebraic surface Applications assume basis bound called canonical character Chern closed codes cohomology compact complex compute cone consider constant construction contains coordinates corresponding cover curve defined Definition denoted differential dimension dividing divisor elements elliptic equal equation equivalent example exists extension fact fiber field finite formula function genus Geometry given gives hence holomorphic ideal induced integral intersection invariants isomorphism Lemma linear locally Math Mathematics meromorphic minimal monomial morphism multiplication Note obtain particular plane polynomial positive prime problem projective projective space proof properties Proposition proved quotient regular relation result Riemann surface ring scheme sequence sheaf shows singular smooth space subset Suppose surface tangent Theorem theory toric variety transform University variety vector bundles zero