000			01542nam a22002057a 4500
003			OSt
005			20241125150443.0
008			190302b ||||| |||| 00| 0 eng d
020			_a9780691000497
040			_cEducational Supplies _aICTS-TIFR
050			_aQA571
100			_aWilliam Fulton
245			_aIntroduction to toric varieties
260			_aNew Jersey: _bPrinceton University Press, _c[c1993]
300			_a157 p
490			_aAnnals of Mathematics Studies _vNo. 131
505			_aCHAPTER 1 DEFINITIONS AND EXAMPLES CHAPTER 2 SINGULARITIES AND COMPACTNESS CHAPTER 3 ORBITS, TOPOLOGY, AND LINE BUNDLES CHAPTER 4 MOMENT MAPS AND THE TANGENT BUNDLE CHAPTER 5 INTERSECTION THEORY
520			_aToric varieties are algebraic varieties arising from elementary geometric and combinatorial objects such as convex polytopes in Euclidean space with vertices on lattice points. Since many algebraic geometry notions such as singularities, birational maps, cycles, homology, intersection theory, and Riemann-Roch translate into simple facts about polytopes, toric varieties provide a marvelous source of examples in algebraic geometry. In the other direction, general facts from algebraic geometry have implications for such polytopes, such as to the problem of the number of lattice points they contain. In spite of the fact that toric varieties are very special in the spectrum of all algebraic varieties, they provide a remarkably useful testing ground for general theories. --- summary provided by publisher
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999			_c2456 _d2456