Geometric aspects of Newton-Okounkov bodies

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Alex Küronya
  • Victor Lozovanu

Organisationseinheiten

Externe Organisationen

  • Goethe-Universität Frankfurt am Main
  • Budapest University of Technology and Economics
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Details

OriginalspracheEnglisch
Seiten (von - bis)137-212
Seitenumfang76
FachzeitschriftBanach Center Publications
Jahrgang116
PublikationsstatusVeröffentlicht - 2018

Abstract

This is a survey article on Newton-Okounkov bodies in projective geometry focusing on the relationship between positivity of divisors and Newton-Okounkov bodies. We build up the theory in the context of positive line bundles and devote time to study the special case of surfaces. The final part of the paper treats the application of constructing singular divisors and studying syzygies on abelian surfaces.

Zitieren

Geometric aspects of Newton-Okounkov bodies. / Küronya, Alex; Lozovanu, Victor.
in: Banach Center Publications, Jahrgang 116, 2018, S. 137-212.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Küronya, A & Lozovanu, V 2018, 'Geometric aspects of Newton-Okounkov bodies', Banach Center Publications, Jg. 116, S. 137-212. https://doi.org/10.48550/arXiv.1703.09980, https://doi.org/10.4064/bc116-7
Küronya, A., & Lozovanu, V. (2018). Geometric aspects of Newton-Okounkov bodies. Banach Center Publications, 116, 137-212. https://doi.org/10.48550/arXiv.1703.09980, https://doi.org/10.4064/bc116-7
Küronya A, Lozovanu V. Geometric aspects of Newton-Okounkov bodies. Banach Center Publications. 2018;116:137-212. doi: 10.48550/arXiv.1703.09980, 10.4064/bc116-7
Küronya, Alex ; Lozovanu, Victor. / Geometric aspects of Newton-Okounkov bodies. in: Banach Center Publications. 2018 ; Jahrgang 116. S. 137-212.
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