000			02144nam 2200325| 4500
001			84983
005			20220203163146.0
010			_a978-3-319-26765-4 _dcompra
090			_a84983
100			_a20190128d2016 k||y0pory50 ba
101	0		_aeng
102			_aUS
200	1		_aOn the geometry of some special projective varieties _bDocumento electrónico _fFrancesco Russo
210			_aCham _cSpringer _d2016
215			_aXXVI, 232 p.
225	2		_aLecture notes of the unione matematica italiana
300			_aColocação: Online
303			_aProviding 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. The new approach to some of the problems considered can be resumed in the principle that, instead of studying a special embedded manifold uniruled by lines, one passes to analyze the original geometrical property on the manifold of lines passing through a general point and contained in the manifold. Once this embedded manifold, usually of lower codimension, is classified, one tries to reconstruct the original manifold, following a principle appearing also in other areas of geometry such as projective differential geometry or complex geometry.
410	1		_x1862-9113 _v18
606			_aGeometria algébrica
606			_aÁlgebra comutativa
606			_aAnéis comutativos
606			_aGeometria
680			_aQA564
700			_aRusso _bFrancesco
801		0	_gRPC _aPT
856			_uhttps://doi.org/10.1007/978-3-319-26765-4
942			_2lcc _cF _n0