Cantitate/Preț
Produs

Hyperbolicity of Projective Hypersurfaces: IMPA Monographs, cartea 5

Autor Simone Diverio, Erwan Rousseau
en Limba Engleză Hardback – 21 iul 2016
Thisbook presents recent advances on Kobayashi hyperbolicity in complex geometry,especially in connection with projective hypersurfaces. This is a very activefield, not least because of the fascinating relations with complex algebraicand arithmetic geometry. Foundational works of Serge Lang and Paul A. Vojta,among others, resulted in precise conjectures regarding the interplay of theseresearch fields (e.g. existence of Zariski dense entire curves shouldcorrespond to the (potential) density of rational points).
Perhapsone of the conjectures which generated most activity in Kobayashi hyperbolicitytheory is the one formed by Kobayashi himself in 1970 which predicts that avery general projective hypersurface of degree large enough does not containany (non-constant) entire curves. Since the seminal work of Green and Griffithsin 1979, later refined by J.-P. Demailly, J. Noguchi, Y.-T. Siu and others, itbecame clear that a possible general strategy to attack this problem was tolook at particular algebraic differential equations (jet differentials) thatevery entire curve must satisfy. This has led to some several spectacularresults. Describing the state of the art around this conjecture is the maingoal of this work.
Citește tot Restrânge

Din seria IMPA Monographs

Preț: 33982 lei

Puncte Express: 510

Preț estimativ în valută:
6511 7052$ 5583£

Carte tipărită la comandă

Livrare economică 06-11 mai

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783319323145
ISBN-10: 3319323148
Pagini: 92
Ilustrații: XIV, 89 p. 3 illus.
Dimensiuni: 155 x 235 x 8 mm
Greutate: 0.33 kg
Ediția:1st ed. 2016
Editura: Springer International Publishing
Colecția Springer
Seria IMPA Monographs

Locul publicării:Cham, Switzerland

Cuprins

- Introduction.- Kobayashi hyperbolicity: basic theory.- Algebraic hyperbolicity.- Jets spaces.- Hyperbolicity and negativity of the curvature.- Hyperbolicity of generic surfaces in projective 3-space.- Algebraic degeneracy for projective hypersurfaces.

Notă biografică

Simone Diverio is a 1st class CNRS researcher at the Institute of Mathematics of Jusseau - Paris Rive Gauche, France. He received his PhD (2008) jointly from the University of Grenoble I, France, and Sapienza University of Rome, Italy. In 2010 he was awarded the Prime d'Excellence Scientifique by the CNRS.
 
Erwan Rousseau is a professor at Aix-Marseille University, France. He did his PhD at Brest University, France (2004), with post-doc studies at the University of Quebéc, Canada and research at the University of Strasbourg (2010). In 2007, he was awarded the Cours Peccot du Collége de France.

Textul de pe ultima copertă

Thisbook presents recent advances on Kobayashi hyperbolicity in complex geometry,especially in connection with projective hypersurfaces. This is a very activefield, not least because of the fascinating relations with complex algebraicand arithmetic geometry. Foundational works of Serge Lang and Paul A. Vojta,among others, resulted in precise conjectures regarding the interplay of theseresearch fields (e.g. existence of Zariski dense entire curves shouldcorrespond to the (potential) density of rational points).
Perhapsone of the conjectures which generated most activity in Kobayashi hyperbolicitytheory is the one formed by Kobayashi himself in 1970 which predicts that avery general projective hypersurface of degree large enough does not containany (non-constant) entire curves. Since the seminal work of Green and Griffithsin 1979, later refined by J.-P. Demailly, J. Noguchi, Y.-T. Siu and others, itbecame clear that a possible general strategy to attack this problem was tolook at particular algebraic differential equations (jet differentials) thatevery entire curve must satisfy. This has led to some several spectacularresults. Describing the state of the art around this conjecture is the maingoal of this work.

Caracteristici

Offers an updated, fresh view of hyperbolicity-type results about projective hypersurfaces
Presents new and classical concepts, like the basics of Kobayashi hyperbolicity and algebraic hyperbolicity
Is as self-contained as possible, and uses straightforward language
Includes supplementary material: sn.pub/extras