On the geometry of some quiver zero loci Fano fourfolds (with an appendix by E. Kalashnikov and F. Tufo)

Fuente: arXiv
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Autores principales: Fatighenti, Enrico, Tanturri, Fabio, Tufo, Federico
Formato: Preprint
Publicado: 2024
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author Fatighenti, Enrico
Tanturri, Fabio
Tufo, Federico
author_facet Fatighenti, Enrico
Tanturri, Fabio
Tufo, Federico
contents In this paper, we study 170 families of quiver flag zero loci Fano fourfolds as described by Kalashnikov. We interpret those manifolds as zero loci of sections of homogeneous vector bundles in homogeneous varieties, and we give a birational and biregular description of all 170 families.
format Preprint
id arxiv_https___arxiv_org_abs_2406_04389
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle On the geometry of some quiver zero loci Fano fourfolds (with an appendix by E. Kalashnikov and F. Tufo)
Fatighenti, Enrico
Tanturri, Fabio
Tufo, Federico
Algebraic Geometry
Primary 14J30 14J45, Secondary 14M15 14E30
In this paper, we study 170 families of quiver flag zero loci Fano fourfolds as described by Kalashnikov. We interpret those manifolds as zero loci of sections of homogeneous vector bundles in homogeneous varieties, and we give a birational and biregular description of all 170 families.
title On the geometry of some quiver zero loci Fano fourfolds (with an appendix by E. Kalashnikov and F. Tufo)
topic Algebraic Geometry
Primary 14J30 14J45, Secondary 14M15 14E30
url https://arxiv.org/abs/2406.04389