Problemi di razionalità ed unirazionalità in geometria algebrica

Alessandro Verra

Bollettino dell'Unione Matematica Italiana (2005)

  • Volume: 8-B, Issue: 1, page 77-102
  • ISSN: 0392-4041

Abstract

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This exposition aims to introduce in an elementary way the unirationality/ rationality problems in Algebraic Geometry. The text focuses on the case of the hypersurfaces of a complex projective space. Using this example many classical themes and questions are presented, as well as further problems concerning the class of rationally connected varieties and the families of rational curves contained in such varieties.

How to cite

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Verra, Alessandro. "Problemi di razionalità ed unirazionalità in geometria algebrica." Bollettino dell'Unione Matematica Italiana 8-B.1 (2005): 77-102. <http://eudml.org/doc/196009>.

@article{Verra2005,
abstract = {Il presente articolo è una versione allargata della omonima conferenza tenuta a Milano durante il XVII convegno nazionale UMI nel settembre 2003. L'articolo ha come abiettivo principale quello di presentare una introduzione, il più possibile elementare, ai problemi di razionalità/unirazionalità in geometria algebrica. Avendo come punto di riferimento l'esempio delle ipersuperfici dello spazio proiettivo complesso, in particolare le ipersuperfici cubiche, vengono presentati temi classici e problemi più recenti riguardanti le varietà razionalmente connesse e le famiglie di curve razionali in esse contenute.},
author = {Verra, Alessandro},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {hypersurfaces; complex projective space},
language = {ita},
month = {2},
number = {1},
pages = {77-102},
publisher = {Unione Matematica Italiana},
title = {Problemi di razionalità ed unirazionalità in geometria algebrica},
url = {http://eudml.org/doc/196009},
volume = {8-B},
year = {2005},
}

TY - JOUR
AU - Verra, Alessandro
TI - Problemi di razionalità ed unirazionalità in geometria algebrica
JO - Bollettino dell'Unione Matematica Italiana
DA - 2005/2//
PB - Unione Matematica Italiana
VL - 8-B
IS - 1
SP - 77
EP - 102
AB - Il presente articolo è una versione allargata della omonima conferenza tenuta a Milano durante il XVII convegno nazionale UMI nel settembre 2003. L'articolo ha come abiettivo principale quello di presentare una introduzione, il più possibile elementare, ai problemi di razionalità/unirazionalità in geometria algebrica. Avendo come punto di riferimento l'esempio delle ipersuperfici dello spazio proiettivo complesso, in particolare le ipersuperfici cubiche, vengono presentati temi classici e problemi più recenti riguardanti le varietà razionalmente connesse e le famiglie di curve razionali in esse contenute.
LA - ita
KW - hypersurfaces; complex projective space
UR - http://eudml.org/doc/196009
ER -

References

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