Chapters on algebraic surfaces

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Algebraic Geometry

Click on an option below to access. Log out of ReadCube. By David M umford with a section by G. B ergman : pp. Princeton University Press, Volume s , Issue 1. If you do not receive an email within 10 minutes, your email address may not be registered, and you may need to create a new Wiley Online Library account. If the address matches an existing account you will receive an email with instructions to retrieve your username.

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Real-Time Algebraic Surface Visualization

Share full text access. Please review our Terms and Conditions of Use and check box below to share full-text version of article. Get access to the full version of this article. View access options below. Invariance of the virtual characters. Virtual characteristic series. Virtual curves. Adjoint Systems and the Theory of Invariants. Complete linear systems of plane curves. Complete linear systems of surfaces in S3.

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Subadjoint surfaces. Subadjoint systems of a given linear system. The distributive property of subadjunction. Adjoint systems.

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The residue theorem in its projective form. The canonical system. The pluricanonical systems.

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The arithmetic genus Pa. The theorem of Riemann-Roch on algebraic surfaces. The deficiency of the characteristic series of a complete linear system.

The elimination of exceptional curves and the characterization of ruled surfaces. Continuous Non-linear Systems. Complete continuous systems and algebraic equivalence. The completeness of the characteristic series of a complete continuous system. The variety of Picard.

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Equivalence criteria. The theory of the base and the number?

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  3. Table of Contents.
  4. The division group and the invariant? On the moduli of algebraic surfaces. Topological Properties of Algebraic Surfaces. Terminology and notations. An algebraic surface as a manifold M4. Algebraic cycles on F and their intersections.

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    The representation of F upon a multiple plane. The deformation of a variable plane section of F. The vanishing cycles? The fundamental homologies for the 1-cycles on F. The reduction of F to a cell. The three-dimensional cycles. The two-dimensional cycles. The group of torsion. Homologies between algebraic cycles and algebraic equivalence. The invariant? The topological theory of algebraic correspondences. Simple and Double Integrals on an Algebraic Surface. Classification of integrals.

    Simple integrals of the second kind. On the number of independent simple integrals of the first and of the second kind attached to a surface of irregularity q. The fundamental theorem. The normal functions of Poincare. The existence theorem of Lefschetz-Poincare. Reducible integrals.