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MODULI OF Q-GORENSTEIN PAIRS AND APPLICATIONS

Journal articles  - Journal Article
Filipazzi, S; Inchiostro, G
Published in: Journal of Algebraic Geometry
January 1, 2024

We develop a framework to construct moduli spaces of Q-Gorenstein pairs. To do so, we fix certain invariants; these choices are encoded in the notion of Q-stable pair. We show that these choices give a proper moduli space with projective coarse moduli space and they prevent some pathologies of the moduli space of stable pairs when the coefficients are smaller than 1 2 . Lastly, we apply this machinery to provide an alternative proof of the projectivity of the moduli space of stable pairs.

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Published In

Journal of Algebraic Geometry

DOI

EISSN

1534-7486

ISSN

1056-3911

Publication Date

January 1, 2024

Volume

33

Issue

2

Start / End Page

347 / 399

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics
 

Citation

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Chicago
ICMJE
MLA
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Filipazzi, S., & Inchiostro, G. (2024). MODULI OF Q-GORENSTEIN PAIRS AND APPLICATIONS. Journal of Algebraic Geometry, 33(2), 347–399. https://doi.org/10.1090/jag/823
Filipazzi, S., and G. Inchiostro. “MODULI OF Q-GORENSTEIN PAIRS AND APPLICATIONS.” Journal of Algebraic Geometry 33, no. 2 (January 1, 2024): 347–99. https://doi.org/10.1090/jag/823.
Filipazzi S, Inchiostro G. MODULI OF Q-GORENSTEIN PAIRS AND APPLICATIONS. Journal of Algebraic Geometry. 2024 Jan 1;33(2):347–99.
Filipazzi, S., and G. Inchiostro. “MODULI OF Q-GORENSTEIN PAIRS AND APPLICATIONS.” Journal of Algebraic Geometry, vol. 33, no. 2, Jan. 2024, pp. 347–99. Scopus, doi:10.1090/jag/823.
Filipazzi S, Inchiostro G. MODULI OF Q-GORENSTEIN PAIRS AND APPLICATIONS. Journal of Algebraic Geometry. 2024 Jan 1;33(2):347–399.

Published In

Journal of Algebraic Geometry

DOI

EISSN

1534-7486

ISSN

1056-3911

Publication Date

January 1, 2024

Volume

33

Issue

2

Start / End Page

347 / 399

Related Subject Headings

  • General Mathematics
  • 4904 Pure mathematics