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  Marked and labelled Gushel-Mukai fourfolds

Brakkee, E., & Pertusi, L. (2021). Marked and labelled Gushel-Mukai fourfolds. In G. Farkas (Ed.), Rationality of varieties (pp. 129-146). Cham: Birkhäuser.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0009-755B-E Version Permalink: https://hdl.handle.net/21.11116/0000-000E-2A1B-6
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arXiv:2002.04248.pdf (Preprint), 250KB
 
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 Creators:
Brakkee, Emma, Author
Pertusi, Laura1, Author           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Algebraic Geometry
 Abstract: We prove that the moduli stacks of marked and labelled Hodge-special
Gushel-Mukai fourfolds are isomorphic. As an application, we construct rational
maps from the stack of Hodge-special Gushel-Mukai fourfolds of discriminant $d$
to the moduli space of (twisted) degree-$d$ polarized K3 surfaces. We use these
results to prove a counting formula for the number of 4-dimensional fibers of
Fourier-Mukai partners of very general Hodge-special Gushel-Mukai fourfolds
with associated K3 surface, and a lower bound for this number in the case of a
twisted associated K3 surface.

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Language(s): eng - English
 Dates: 2021
 Publication Status: Issued
 Pages: 18
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2002.04248
DOI: 10.1007/978-3-030-75421-1_6
 Degree: -

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Title: Rationality of Algebraic Varieties
Place of Event: Schiermonnikoog Island
Start-/End Date: 2019-04-15 - 2019-04-19

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Title: Rationality of varieties
Source Genre: Proceedings
 Creator(s):
Farkas, Gavril, Editor
Affiliations:
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Publ. Info: Cham : Birkhäuser
Pages: ix, 433 Volume / Issue: - Sequence Number: - Start / End Page: 129 - 146 Identifier: ISBN: 978-3-030-75420-4
ISBN: 978-3-030-75421-1
DOI: 10.1007/978-3-030-75421-1
URN: https://doi.org/10.1007/978-3-030-75421-1

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Title: Progress in mathematics
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Pages: - Volume / Issue: 342 Sequence Number: - Start / End Page: - Identifier: -