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On the Geometry of Some Special Projective Varieties
Paperback
Series: Lecture Notes Of The Unione Matematica Italiana, Book 18
ISBN13: 9783319267647
Publisher: Springer Nature
Published: Feb 1 2016
Pages: 232
Weight: 0.81
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English
Providing an introduction to both classical and modern techniques in projective algebraic geometry, this monograph treats the geometrical properties of varieties embedded in projective spaces, their secant and tangent lines, the behavior of tangent linear spaces, the algebro-geometric and topological obstructions to their embedding into smaller projective spaces, and the classification of extremal cases. It also provides a solution of Hartshorne's Conjecture on Complete Intersections for the class of quadratic manifolds and new short proofs of previously known results, using the modern tools of Mori Theory and of rationally connected manifolds.
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