Topics in Algebraic and Analytic Geometry. (MN-13): Notes From a Course of Phillip Griffiths
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Princeton, N.J.
Princeton University Press
[2015]
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| Series: | Mathematical Notes
13 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Description based on online resource; title from PDF title page (publisher’s Web site, viewed June 24 2015) |
| Physical Description: | 1 online resource (228pages) illustrations |
| ISBN: | 9781400869268 |
| DOI: | 10.1515/9781400869268 |
Staff View
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| 245 | 1 | 0 | |a Topics in Algebraic and Analytic Geometry. (MN-13) |b Notes From a Course of Phillip Griffiths |c Phillip A. Griffiths, John Frank Adams |
| 264 | 1 | |a Princeton, N.J. |b Princeton University Press |c [2015] | |
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| 505 | 8 | |a This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories.Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 K-theory and Bott periodicity; 6.2 K-theory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the Atiyah-Hirzebruch spectral sequence; 7.3 K-theory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography.Originally published in 1974.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 | |
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| author | Griffiths, Phillip 1938- Adams, John Frank 1930-1989 |
| author_GND | (DE-588)131881434 (DE-588)120514729 |
| author_facet | Griffiths, Phillip 1938- Adams, John Frank 1930-1989 |
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| author_sort | Griffiths, Phillip 1938- |
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| contents | This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories.Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 K-theory and Bott periodicity; 6.2 K-theory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the Atiyah-Hirzebruch spectral sequence; 7.3 K-theory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography.Originally published in 1974.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 |
| ctrlnum | (OCoLC)1165457574 (DE-599)BVBBV043016353 |
| dewey-full | 516/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.3 |
| dewey-search | 516/.3 |
| dewey-sort | 3516 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400869268 |
| format | Electronic eBook |
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| isbn | 9781400869268 |
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| spelling | Griffiths, Phillip 1938- (DE-588)131881434 aut Topics in Algebraic and Analytic Geometry. (MN-13) Notes From a Course of Phillip Griffiths Phillip A. Griffiths, John Frank Adams Princeton, N.J. Princeton University Press [2015] © 2015 1 online resource (228pages) illustrations txt rdacontent c rdamedia cr rdacarrier Mathematical Notes 13 Description based on online resource; title from PDF title page (publisher’s Web site, viewed June 24 2015) This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories.Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 K-theory and Bott periodicity; 6.2 K-theory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the Atiyah-Hirzebruch spectral sequence; 7.3 K-theory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography.Originally published in 1974.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 In English Mathematik Geometry, Algebraic Geometry, Analytic Adams, John Frank 1930-1989 (DE-588)120514729 aut https://doi.org/10.1515/9781400869268 Verlag Volltext |
| spellingShingle | Griffiths, Phillip 1938- Adams, John Frank 1930-1989 Topics in Algebraic and Analytic Geometry. (MN-13) Notes From a Course of Phillip Griffiths This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view. The notes focus on comparison theorems between the algebraic, analytic, and continuous categories.Contents include: 1.1 sheaf theory, ringed spaces; 1.2 local structure of analytic and algebraic sets; 1.3 Pn 2.1 sheaves of modules; 2.2 vector bundles; 2.3 sheaf cohomology and computations on Pn; 3.1 maximum principle and Schwarz lemma on analytic spaces; 3.2 Siegel's theorem; 3.3 Chow's theorem; 4.1 GAGA; 5.1 line bundles, divisors, and maps to Pn; 5.2 Grassmanians and vector bundles; 5.3 Chern classes and curvature; 5.4 analytic cocycles; 6.1 K-theory and Bott periodicity; 6.2 K-theory as a generalized cohomology theory; 7.1 the Chern character and obstruction theory; 7.2 the Atiyah-Hirzebruch spectral sequence; 7.3 K-theory on algebraic varieties; 8.1 Stein manifold theory; 8.2 holomorphic vector bundles on polydisks; 9.1 concluding remarks; bibliography.Originally published in 1974.The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These paperback editions preserve the original texts of these important books while presenting them in durable paperback editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905 Mathematik Geometry, Algebraic Geometry, Analytic |
| title | Topics in Algebraic and Analytic Geometry. (MN-13) Notes From a Course of Phillip Griffiths |
| title_auth | Topics in Algebraic and Analytic Geometry. (MN-13) Notes From a Course of Phillip Griffiths |
| title_exact_search | Topics in Algebraic and Analytic Geometry. (MN-13) Notes From a Course of Phillip Griffiths |
| title_full | Topics in Algebraic and Analytic Geometry. (MN-13) Notes From a Course of Phillip Griffiths Phillip A. Griffiths, John Frank Adams |
| title_fullStr | Topics in Algebraic and Analytic Geometry. (MN-13) Notes From a Course of Phillip Griffiths Phillip A. Griffiths, John Frank Adams |
| title_full_unstemmed | Topics in Algebraic and Analytic Geometry. (MN-13) Notes From a Course of Phillip Griffiths Phillip A. Griffiths, John Frank Adams |
| title_short | Topics in Algebraic and Analytic Geometry. (MN-13) |
| title_sort | topics in algebraic and analytic geometry mn 13 notes from a course of phillip griffiths |
| title_sub | Notes From a Course of Phillip Griffiths |
| topic | Mathematik Geometry, Algebraic Geometry, Analytic |
| topic_facet | Mathematik Geometry, Algebraic Geometry, Analytic |
| url | https://doi.org/10.1515/9781400869268 |
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