NDLI: Lines on projective varieties and applications

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Rendiconti del Circolo Matematico di Palermo : Volume 66

Rendiconti del Circolo Matematico di Palermo : Volume 65

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Rendiconti del Circolo Matematico di Palermo : Volume 61

Rendiconti del Circolo Matematico di Palermo : Volume 61, Issue 3, December 2012

Rendiconti del Circolo Matematico di Palermo : Volume 61, Issue 2, August 2012

Rendiconti del Circolo Matematico di Palermo : Volume 61, Issue 1, April 2012

Lower bound for matrix operators on the Euler weighted sequence space $e_{w,p}^{\theta}$ (0

On a conjecture concerning some automatic continuity theorems

On surfaces with p $_{ g }$=2, q=1 and K $^{2}$=5

Lines on projective varieties and applications

A sequential implicit function theorem for iterative solution of generalized equation involving point-based approximation

Some subclasses of the real-valued honorary Baire two functions on ℝ$^{ n }$

Refining Castelnuovo-Halphen bounds

Martin’s Axiom and separated mad families

The Gelfand–Kirillov dimension of the universal algebras of M $_{ a,b }$(E)⊗E in positive characteristic

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Rendiconti del Circolo Matematico di Palermo : Volume 60

Rendiconti del Circolo Matematico di Palermo : Volume 59

Rendiconti del Circolo Matematico di Palermo : Volume 58

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Rendiconti del Circolo Matematico di Palermo : Volume 47

Rendiconti del Circolo Matematico di Palermo : Volume 46

Lines on projective varieties and applications

Content Provider	Springer Nature Link
Author	Russo, Francesco
Copyright Year	2011
Abstract	The first part of this note contains a review of basic properties of the variety of lines contained in an embedded projective variety and passing through a general point. In particular we provide a detailed proof that for varieties defined by quadratic equations the base locus of the projective second fundamental form at a general point coincides, as a scheme, with the variety of lines.The second part concerns the problem of extending embedded projective manifolds, using the geometry of the variety of lines. Some applications to the case of homogeneous manifolds are included.
Starting Page	47
Ending Page	64
Page Count	18
File Format	PDF
ISSN	0009725X
Journal	Rendiconti del Circolo Matematico di Palermo
Volume Number	61
Issue Number	1
e-ISSN	19734409
Language	English
Publisher	Springer Milan
Publisher Date	2011-08-09
Publisher Place	Milan
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Hilbert scheme of lines Second fundamental form Quadratic manifolds Projective extension Fano varieties Low codimension problems Analysis Algebra Applications of Mathematics Geometry Mathematics
Content Type	Text
Resource Type	Article
Subject	Mathematics

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Manifolds covered by lines and the Hartshorne Conjecture for quadratic manifolds

Varieties connected by chains of lines

Congruences of lines in $${{\mathbb P}^5}$$ , quadratic normality, and completely exceptional Monge–Ampère equations

Manifolds covered by lines, defective manifolds and a restricted Hartshorne Conjecture

Congruences of lines in $\mathbb{P}^5$, quadratic normality, and completely exceptional Monge-Amp\`ere equations

Uniform families of minimal rational curves on Fano manifolds

Varieties Connected by Chains of Lines

Covered by Lines and Conic Connected Varieties

A new Castelnuovo bound for codimension three subvarieties

Lines on projective varieties and applications

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