The Picard group of the moduli of smooth complete intersections of two quadrics
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- by Shamil Asgarli and Giovanni Inchiostro PDF
- Trans. Amer. Math. Soc. 372 (2019), 3319-3346 Request permission
Abstract:
We study the moduli space of smooth complete intersections of two quadrics in $\mathbb {P}^n$ by relating it to the geometry of the singular members of the corresponding pencils. By giving an alternative presentation for the moduli space of complete intersections, we compute the Picard group for all $n\geq 3$.References
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Additional Information
- Shamil Asgarli
- Affiliation: Department of Mathematics, Brown University, Providence, Rhode Island 02912
- MR Author ID: 1273691
- Giovanni Inchiostro
- Affiliation: Department of Mathematics, Brown University, Providence, Rhode Island 02912
- Received by editor(s): November 7, 2017
- Received by editor(s) in revised form: September 15, 2018
- Published electronically: May 7, 2019
- Additional Notes: Research by the authors was partially supported by funds from the NSF grants DMS-1551514 and DMS-1500525, respectively.
- © Copyright 2019 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 372 (2019), 3319-3346
- MSC (2010): Primary 14M10, 14C22; Secondary 14D23
- DOI: https://doi.org/10.1090/tran/7732
- MathSciNet review: 3988612