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3264 and All That
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3264 and All That
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.
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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.
Produktdetaljer
Sprog: Engelsk
Sider: 603
ISBN-13: 9781107602724
Indbinding: Paperback
Udgave:
ISBN-10: 1107602726
Udg. Dato: 14 apr 2016
Længde: 35mm
Bredde: 179mm
Højde: 253mm
Oplagsdato: 14 apr 2016
Forfatter(e) David Eisenbud, Joe Harris, David (Professor Eisenbud, Joe (Professor Harris


Kategori Algebraisk geometri


Sprog Engelsk


Indbinding Paperback


Sider 603


Udgave


Længde 35mm


Bredde 179mm


Højde 253mm

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