By Francesco Russo
ISBN-10: 3319267647
ISBN-13: 9783319267647
Providing an
introduction to either classical and sleek thoughts in projective
algebraic geometry, this monograph treats the geometrical homes of
varieties embedded in projective spaces, their secant and tangent lines,
the habit of tangent linear areas, the algebro-geometric and topological
obstructions to their embedding into smaller projective areas, and the
classification of extremal cases. It
also presents an answer of Hartshorne’s Conjecture on whole Intersections
for the category of quadratic manifolds and new brief proofs of formerly known
results, using the modern instruments of
Mori concept and of rationally hooked up manifolds.
The new method of a few of the
problems thought of will be resumed within the precept that, rather than learning a
special embedded manifold uniruled through traces, one passes to research the original
geometrical estate at the manifold of traces passing via a common point
and inside the manifold. as soon as this embedded manifold, often of lower
codimension, is classed, one attempts to reconstruct the unique manifold,
following a precept showing additionally in other
areas of geometry reminiscent of projective differential geometry or complex
geometry.
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Extra resources for On the Geometry of Some Special Projective Varieties (Lecture Notes of the Unione Matematica Italiana)
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On the Geometry of Some Special Projective Varieties (Lecture Notes of the Unione Matematica Italiana) by Francesco Russo
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