LDR 02508    a2200301   4500
010    _a9781107602724
090    _a16215
101    _aeng
102    _aGB
100    _a20170920              frey50       
200    _bM
       _a3264 and all that
       _fDavid Eisenbud, Joe Harris
       _ea second course in algebraic geometry
210    _cCambridge University Press
       _dcop. 2016
215    _a1 vol. (xiv-616 p.)
       _cfig., couv. ill. en coul.
300    _aPublisher’s description: 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
320    _aBibliogr. p. [594]-601. Index
676    _a2010
686    _20
       _bAlgebraic geometry
       _xInstructional exposition (textbooks, tutorial papers, etc.)
686    _20
       _bAlgebraic geometry -- Projective and enumerative geometry
       _xEnumerative problems (combinatorial problems)
686    _20
       _bAlgebraic geometry -- Cycles and subschemes
       _xIntersection theory, characteristic classes, intersection multiplicities
686    _20
       _bAlgebraic geometry -- Cycles and subschemes
       _x(Equivariant) Chow groups and rings; motives
700    _4070
701    _4070
856    _uhttp://www.ams.org/mathscinet-getitem?mr=3617981
856    _uhttps://zbmath.org/?q=an:1341.14001
905    _aaw
906    _aaw
001     16215
995    _f12410-01
       _xachat Ebsco
       _k14 EIS
       _eSalle R
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