Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces

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Title
Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces
Author (s)
 Galindo, CarlosOrcidScopusResearcherID;
 Monserrat, Francisco;
 Moreno Ávila, Carlos Jesús
Date
2023-02-01
Publisher
Taylor and Francis
URI
http://hdl.handle.net/10234/202543
DOI
https://doi.org/10.2989/16073606.2022.2146020
ISSN
1607-3606; 1727-933X
Bibliographic citation
GALINDO, Carlos; MONSERRAT, Francisco; MORENO-ÁVILA, Carlos-Jesús. Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces. Quaestiones Mathematicae, 2023, p. 1-35
Type
info:eu-repo/semantics/article
Publisher version
https://www.tandfonline.com/doi/abs/10.2989/16073606.2022.2146020
Version
info:eu-repo/semantics/acceptedVersion
Subject
Abstract
We consider flags E• = {X ⊃ E ⊃ {q}}, where E is an exceptional divisor defining a non-positive at infinity divisorial valuation νE of a Hirzebruch surface Fδ , q a point in E and X the surface given by νE , and ... [+]
We consider flags E• = {X ⊃ E ⊃ {q}}, where E is an exceptional divisor defining a non-positive at infinity divisorial valuation νE of a Hirzebruch surface Fδ , q a point in E and X the surface given by νE , and determine an analogue of the Seshadri constant for pairs (νE , D), D being a big divisor on Fδ . The main result is an explicit computation of the vertices of the Newton- Okounkov bodies of pairs (E•, D) as above, showing that they are quadrilaterals or triangles and distinguishing one case from another. [-]
Is part of
Quaestiones Mathematicae, 2023, p. 1-35
Funder Name
Ministerio de Ciencia e Innovación de España. Agencia Estatal de Investigación | Universitat Jaume I | Unión Europea-NextGenerationEU
Project code
PGC2018-096446-B-C22 | UJI- B2021-02 | MGS/2021/14 | UP2021-021
Project title or grant
“ERDF A way of making Europe"
Rights
info:eu-repo/semantics/openAccess
This item appears in the folowing collection(s)
“This is an Accepted Manuscript of an article published by Taylor & Francis in Quaestiones Mathematicae on 2023, available at: http://www.tandfonline.com/10.2989/16073606.2022.2146020” “This is an Accepted Manuscript version of the following article, accepted for publication in Quaestiones Mathematicae. GALINDO, Carlos; MONSERRAT, Francisco; MORENO-ÁVILA, Carlos-Jesús. Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces. Quaestiones Mathematicae, 2023, p. 1-35. It is deposited under the terms of the Creative Commons Attribution-NonCommercial License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited.”
Except where otherwise noted, this item's license is described as “This is an Accepted Manuscript of an article published by Taylor & Francis in Quaestiones Mathematicae on 2023, available at: http://www.tandfonline.com/10.2989/16073606.2022.2146020” “This is an Accepted Manuscript version of the following article, accepted for publication in Quaestiones Mathematicae. GALINDO, Carlos; MONSERRAT, Francisco; MORENO-ÁVILA, Carlos-Jesús. Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces. Quaestiones Mathematicae, 2023, p. 1-35. It is deposited under the terms of the Creative Commons Attribution-NonCommercial License (http://creativecommons.org/licenses/by-nc/4.0/), which permits non-commercial re-use, distribution, and reproduction in any medium, provided the original work is properly cited.”