Coverart for item
The Resource A Survey on Hiperbolicity of Projective Hypersurfaces

A Survey on Hiperbolicity of Projective Hypersurfaces

Label
A Survey on Hiperbolicity of Projective Hypersurfaces
Title
A Survey on Hiperbolicity of Projective Hypersurfaces
Creator
Contributor
Subject
Language
eng
Member of
Cataloging source
MiAaPQ
Literary form
non fiction
Nature of contents
dictionaries
Series statement
IMPA Monographs
Series volume
v.5
A Survey on Hiperbolicity of Projective Hypersurfaces
Label
A Survey on Hiperbolicity of Projective Hypersurfaces
Link
http://libproxy.rpi.edu/login?url=https://ebookcentral.proquest.com/lib/rpi/detail.action?docID=4591914
Publication
Copyright
Related Contributor
Related Location
Related Agents
Related Authorities
Related Subjects
Related Items
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
  • Preface to the first edition -- Preface to the second edition -- Contents -- 1 Kobayashi hyperbolicity: basic theory -- 1.1 The Kobayashi distance -- 1.1.1 Infinitesimal form -- 1.2 Brody's criterion for hyperbolicity -- 1.2.1 Applications -- 1.3 Riemann surfaces and uniformization -- 2 Algebraic hyperbolicity -- 2.1 Hyperbolicity and genus of curves -- 2.2 Algebraic hyperbolicity of generic projective hypersurfaces of high degree -- 2.2.1 Global generation of the twisted tangent bundle of the universal family -- 2.2.2 Consequences of the twisted global generation -- 2.3 A brief history of the above results -- 3 Jets spaces -- 3.1 Projectivization of directed manifolds -- 3.1.1 Lifting of curves -- 3.1.2 Jets of curves -- 3.2 Projectivized jet bundles -- 3.2.1 Regular and singular loci -- 3.3 Jet differentials -- 3.3.1 Invariant jet differentials and projectivized jet bundles -- 3.3.2 Sufficient conditions for relative positivity -- 4 Hyperbolicity and negativity of the curvature -- 4.1 Curvature and positivity -- 4.1.1 Special case of hermitian line bundles -- 4.1.1.1 Riemann surfaces -- Tautological line bundle on projectivized vector bundles -- 4.2 The Ahlfors-Schwarz lemma -- 4.2.1 The Bloch theorem -- 4.3 A general strategy for algebraic degeneracy -- 5 Hyperbolicity of generic surfaces in projective 3-space -- 5.1 General strategy -- 5.2 Existence of jet differentials -- 5.3 Global generation of the twisted tangent space of the universal family -- First family of tangent vector fields -- Second family of tangent vector fields -- Third family of tangent vector fields -- 5.4 Proof of the hyperbolicity -- 6 Algebraic degeneracy for generic projective hypersurfaces -- 6.1 Statement of the result and scheme of the proof -- 6.2 Existence of jet differentials -- 6.2.1 Algebraic holomorphic Morse inequalities
  • 6.3 Proof of the existence of jet differentials in dimension 3 -- 6.4 Proof of the existence of jet differentials in higher dimensions -- 6.4.1 Choice of the appropriate subbundle -- 6.4.2 Cohomology ring of Xk -- 6.4.3 Evaluation in terms of the degree -- 6.4.4 Bigness of OXn(1) -- Existence of jet differential with controlled vanishing -- 6.5 Meromorphic vector fields -- 6.6 Effective aspects -- 6.6.1 The strategy of the effective estimate -- Bibliography
http://library.link/vocab/cover_art
https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319323152&userID=ebsco-test&password=ebsco-test
Dimensions
unknown
http://library.link/vocab/discovery_link
{'f': 'http://opac.lib.rpi.edu/record=b4385674'}
Extent
1 online resource (101 pages)
Form of item
online
Isbn
9783319323152
Media category
computer
Media MARC source
rdamedia
Media type code
c
Sound
unknown sound
Specific material designation
remote

Library Locations

    • Folsom LibraryBorrow it
      110 8th St, Troy, NY, 12180, US
      42.729766 -73.682577
Processing Feedback ...