scholarly journals Normal Bundles of Rational Curves in Projective Spaces

2007 ◽  
Vol 11 (4) ◽  
pp. 567-608 ◽  
Author(s):  
Ziv Ran
Keyword(s):  
Projective Spaces ◽  
Rational Curves ◽  
Normal Bundles

scholarly journals Enumeration of one-nodal rational curves in projective spaces

Topology ◽  
2004 ◽  
Vol 43 (4) ◽  
pp. 793-829 ◽  
Author(s):  
A ZINGER
Keyword(s):  
Projective Spaces ◽  
Rational Curves

A Characterization of Products of Projective Spaces

2006 ◽  
Vol 49 (2) ◽  
pp. 270-280 ◽  
Author(s):  
Gianluca Occhetta
Keyword(s):  
Projective Spaces ◽  
Rational Curves

AbstractWe give a characterization of products of projective spaces using unsplit covering families of rational curves.

scholarly journals Normal bundles of rational curves on complete intersections

2019 ◽  
Vol 21 (02) ◽  
pp. 1850011 ◽  
Author(s):  
Izzet Coskun ◽  
Eric Riedl
Keyword(s):  
Complete Intersection ◽  
Normal Bundle ◽  
Rational Curves ◽  
Complete Intersections ◽  
Type Formula ◽  
Normal Bundles ◽  
Rationally Connected

Let [Formula: see text] be a general Fano complete intersection of type [Formula: see text]. If at least one [Formula: see text] is greater than [Formula: see text], we show that [Formula: see text] contains rational curves of degree [Formula: see text] with balanced normal bundle. If all [Formula: see text] are [Formula: see text] and [Formula: see text], we show that [Formula: see text] contains rational curves of degree [Formula: see text] with balanced normal bundle. As an application, we prove a stronger version of the theorem of Tian [27], Chen and Zhu [4] that [Formula: see text] is separably rationally connected by exhibiting very free rational curves in [Formula: see text] of optimal degrees.

scholarly journals Remarks on the normal bundles of generic rational curves

2017 ◽  
Vol 63 (2) ◽  
pp. 211-220 ◽  
Author(s):  
Alberto Alzati ◽  
Riccardo Re
Keyword(s):  
Rational Curves ◽  
Normal Bundles

scholarly journals On the normal bundles of rational curves on Fano 3-folds

2012 ◽  
Vol 16 (2) ◽  
pp. 237-270 ◽  
Author(s):  
Mingmin Shen
Keyword(s):  
Rational Curves ◽  
Normal Bundles

scholarly journals Normal Bundles to Laufer Rational Curves in Local Calabi–Yau Threefolds

2006 ◽  
Vol 76 (1) ◽  
pp. 57-63
Author(s):  
U. Bruzzo ◽  
A. Ricco
Keyword(s):  
Rational Curves ◽  
Normal Bundles

scholarly journals Counting rational curves of arbitrary shape in projective spaces

2005 ◽  
Vol 9 (2) ◽  
pp. 571-697 ◽  
Author(s):  
Aleksey Zinger
Keyword(s):  
Arbitrary Shape ◽  
Projective Spaces ◽  
Rational Curves
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