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Algebraic geometry, Arcata 1974 : [electronic resource] [proceedings] / [edited by Robin Hartshorne]

By: Symposium in Pure Mathematics Humboldt State University, 1974Contributor(s): Hartshorne, Robin | American Mathematical SocietyMaterial type: Text

TextSeries: Proceedings of symposia in pure mathematics ; v. 29Publication details: Providence : American Mathematical Society, 1975Description: 1 online resource (xiv, 642 p.)ISBN: 9780821893166 (online)Subject(s): Geometry, Algebraic -- CongressesAdditional physical formats: Algebraic geometry, Arcata 1974 :DDC classification: 516/.35 LOC classification: QA564 | .S96 1974Online resources: Contents | Contents

Contents:

Some transcendental aspects of algebraic geometry / Maurizio Cornalba and Phillip A. Griffiths -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0419438 Some directions of recent progress in commutative algebra / David Eisenbud -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0384767 Equivalence relations on algebraic cycles and subvarieties of small codimension / Robin Hartshorne -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0369359 Triangulations of algebraic sets / Heisuke Hironaka -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0374131 Introduction to resolution of singularities / Joseph Lipman -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0389901 Eigenvalues of Frobenius acting on algebraic varieties over finite fields / B. Mazur -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0371896 Theory of moduli / C. S. Seshadri -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0396565 Larsen's theorem on the homotopy groups of projective manifolds of small embedding codimension / Wolf Barth -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/9902 Slopes of Frobenius in crystalline cohomology / Pierre Berthelot -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0382282 Classification and embeddings of surfaces / Enrico Bombieri and Dale Husemoller -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0506292 Linear representations of semi-simple algebraic groups / Armand Borel -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0372054 Knot invariants of singularities / Alan H. Durfee -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0375336 Riemann-Roch for singular varieties / William Fulton -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0393033 Report on crystalline cohomology / Luc Illusie -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0393034 $p$-adic $L$-functions via moduli of elliptic curves / Nicholas M. Katz -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0432649 Topological use of polar curves / L�e D�ung Tr�ang -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0374481 Matsusaka's big theorem / D. Lieberman and D. Mumford -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/9901 Unique factorization in complete local rings / Joseph Lipman -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0374125 Differentials of the first, second and third kinds / William Messing -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0382281 Short sketch of Deligne's proof of the hard Lefschetz theorem / William Messing -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/9900 $p$-adic interpolation via Hilbert modular forms / Kenneth A. Ribet -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0419414 Introduction to equisingularity problems / B. Teissier -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0422256 Algebraic varieties with group action / Philip Wagreich -- http://www.ams.org/pspum/029 http://dx.doi.org/10.1090/pspum/029/0382264

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"Twenty-first Summer Research Institute."

Includes bibliographies.

Some transcendental aspects of algebraic geometry / Maurizio Cornalba and Phillip A. Griffiths -- Some directions of recent progress in commutative algebra / David Eisenbud -- Equivalence relations on algebraic cycles and subvarieties of small codimension / Robin Hartshorne -- Triangulations of algebraic sets / Heisuke Hironaka -- Introduction to resolution of singularities / Joseph Lipman -- Eigenvalues of Frobenius acting on algebraic varieties over finite fields / B. Mazur -- Theory of moduli / C. S. Seshadri -- Larsen's theorem on the homotopy groups of projective manifolds of small embedding codimension / Wolf Barth -- Slopes of Frobenius in crystalline cohomology / Pierre Berthelot -- Classification and embeddings of surfaces / Enrico Bombieri and Dale Husemoller -- Linear representations of semi-simple algebraic groups / Armand Borel -- Knot invariants of singularities / Alan H. Durfee -- Riemann-Roch for singular varieties / William Fulton -- Report on crystalline cohomology / Luc Illusie -- $p$-adic $L$-functions via moduli of elliptic curves / Nicholas M. Katz -- Topological use of polar curves / L�e D�ung Tr�ang -- Matsusaka's big theorem / D. Lieberman and D. Mumford -- Unique factorization in complete local rings / Joseph Lipman -- Differentials of the first, second and third kinds / William Messing -- Short sketch of Deligne's proof of the hard Lefschetz theorem / William Messing -- $p$-adic interpolation via Hilbert modular forms / Kenneth A. Ribet -- Introduction to equisingularity problems / B. Teissier -- Algebraic varieties with group action / Philip Wagreich --