On the Geometry of Some Special Projective Varieties

• Κύριος συγγραφέας: Russo, Francesco (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Έκδοση: 1st ed. 2016.
• Σειρά: Lecture Notes of the Unione Matematica Italiana, 18
• Θέματα: Mathematics.; Algebraic geometry.; Commutative algebra.; Commutative rings.; Geometry.; Algebraic Geometry.; Commutative Rings and Algebras.

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 topologica...

Πίνακας περιεχομένων:

• Preface.-Introduction
• 1.Tangent cones, tangent spaces, tangent stars; secant, tangent and tangent star varieties to an algebraic variety
• 2.Basics of Deformation Theory of Rational Curves on Projective Varieties
• 3.Fulton-Hansen Connectedness Theorem, Scorza Lemma and their applications to projective geometry
• 4.Local quadratic entry locus manifolds and conic connected manifolds
• 5.Hartshorne Conjectures and Severi varieties
• 6.Varieties n-covered by curves of a fixed degree and the XJC
• 7. Hypersurfaces with vanishing hessian.-Bibliography.