3264 and all that: a second course in algebraic geometry
This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ide...
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
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| Schlagwörter: | |
| Links: | https://doi.org/10.1017/CBO9781139062046 https://doi.org/10.1017/CBO9781139062046 https://doi.org/10.1017/CBO9781139062046 |
| Zusammenfassung: | This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 08 Mar 2016) |
| Umfang: | 1 online resource (xiv, 616 pages) |
| ISBN: | 9781139062046 |
| DOI: | 10.1017/CBO9781139062046 |
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| dewey-full | 516.3/5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/5 |
| dewey-search | 516.3/5 |
| dewey-sort | 3516.3 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139062046 |
| format | Electronic eBook |
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| spelling | Eisenbud, David Verfasser aut 3264 and all that a second course in algebraic geometry David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts 3264 & All That Cambridge Cambridge University Press 2016 1 online resource (xiv, 616 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 08 Mar 2016) This book can form the basis of a second course in algebraic geometry. As motivation, it takes concrete questions from enumerative geometry and intersection theory, and provides intuition and technique, so that the student develops the ability to solve geometric problems. The authors explain key ideas, including rational equivalence, Chow rings, Schubert calculus and Chern classes, and readers will appreciate the abundant examples, many provided as exercises with solutions available online. Intersection is concerned with the enumeration of solutions of systems of polynomial equations in several variables. It has been an active area of mathematics since the work of Leibniz. Chasles' nineteenth-century calculation that there are 3264 smooth conic plane curves tangent to five given general conics was an important landmark, and was the inspiration behind the title of this book. Such computations were motivation for Poincaré's development of topology, and for many subsequent theories, so that intersection theory is now a central topic of modern mathematics Geometry, Algebraic / Textbooks Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Algebraische Geometrie (DE-588)4001161-6 s 2\p DE-604 Harris, Joe 1951- Sonstige oth Erscheint auch als Druckausgabe 978-1-107-01708-5 Erscheint auch als Druckausgabe 978-1-107-60272-4 https://doi.org/10.1017/CBO9781139062046 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Eisenbud, David 3264 and all that a second course in algebraic geometry Geometry, Algebraic / Textbooks Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4123623-3 |
| title | 3264 and all that a second course in algebraic geometry |
| title_alt | 3264 & All That |
| title_auth | 3264 and all that a second course in algebraic geometry |
| title_exact_search | 3264 and all that a second course in algebraic geometry |
| title_full | 3264 and all that a second course in algebraic geometry David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts |
| title_fullStr | 3264 and all that a second course in algebraic geometry David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts |
| title_full_unstemmed | 3264 and all that a second course in algebraic geometry David Eisenbud, Mathematical Sciences Research Institute, Joe Harris, Harvard University, Massachusetts |
| title_short | 3264 and all that |
| title_sort | 3264 and all that a second course in algebraic geometry |
| title_sub | a second course in algebraic geometry |
| topic | Geometry, Algebraic / Textbooks Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Geometry, Algebraic / Textbooks Algebraische Geometrie Lehrbuch |
| url | https://doi.org/10.1017/CBO9781139062046 |
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