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

Galindo, Carlos; Monserrat, Francisco; Moreno Ávila, Carlos Jesús

dc.contributor.author	Galindo, Carlos
dc.contributor.author	Monserrat, Francisco
dc.contributor.author	Moreno Ávila, Carlos Jesús
dc.date.accessioned	2023-05-18T15:22:08Z
dc.date.available	2023-05-18T15:22:08Z
dc.date.issued	2023-02-01
dc.identifier.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	ca_CA
dc.identifier.issn	1607-3606
dc.identifier.issn	1727-933X
dc.identifier.uri	http://hdl.handle.net/10234/202543
dc.description.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 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.	ca_CA
dc.format.extent	31 p.	ca_CA
dc.format.mimetype	application/pdf	ca_CA
dc.language.iso	eng	ca_CA
dc.publisher	Taylor and Francis	ca_CA
dc.relation	“ERDF A way of making Europe"	ca_CA
dc.relation.isPartOf	Quaestiones Mathematicae, 2023, p. 1-35	ca_CA
dc.rights	“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.”	ca_CA
dc.rights.uri	http://creativecommons.org/licenses/by-nc/4.0/	ca_CA
dc.subject	Newton-Okounkov bodies	ca_CA
dc.subject	flags	ca_CA
dc.subject	non-positive at infinity valuations	ca_CA
dc.title	Seshadri-type constants and Newton-Okounkov bodies for non-positive at infinity valuations of Hirzebruch surfaces	ca_CA
dc.type	info:eu-repo/semantics/article	ca_CA
dc.identifier.doi	https://doi.org/10.2989/16073606.2022.2146020
dc.rights.accessRights	info:eu-repo/semantics/openAccess	ca_CA
dc.relation.publisherVersion	https://www.tandfonline.com/doi/abs/10.2989/16073606.2022.2146020	ca_CA
dc.type.version	info:eu-repo/semantics/acceptedVersion	ca_CA
project.funder.name	Ministerio de Ciencia e Innovación de España. Agencia Estatal de Investigación	ca_CA
project.funder.name	Universitat Jaume I	ca_CA
project.funder.name	Unión Europea-NextGenerationEU	ca_CA
oaire.awardNumber	PGC2018-096446-B-C22	ca_CA
oaire.awardNumber	UJI- B2021-02	ca_CA
oaire.awardNumber	MGS/2021/14	ca_CA
oaire.awardNumber	UP2021-021	ca_CA

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“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.”

Excepto si se señala otra cosa, la licencia del ítem se describe como: “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.”