Arithmetic and geometric deformations of threefolds
Publication
, Journal Article
Bernasconi, F; Brivio, I; Filipazzi, S
Published in: Bulletin of the London Mathematical Society
January 1, 2024
We show that mixed-characteristic and equi-characteristic small deformations of 3-dimensional canonical (resp., terminal) singularities with perfect residue field of characteristic (Formula presented.) are canonical (resp., terminal). We discuss applications to arithmetic and geometric families of 3-dimensional Fano varieties and minimal models with canonical singularities. Our results are contingent upon the existence of log resolutions for fourfolds.
Duke Scholars
Published In
Bulletin of the London Mathematical Society
DOI
EISSN
1469-2120
ISSN
0024-6093
Publication Date
January 1, 2024
Volume
56
Issue
1
Start / End Page
423 / 443
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics
Citation
APA
Chicago
ICMJE
MLA
NLM
Bernasconi, F., Brivio, I., & Filipazzi, S. (2024). Arithmetic and geometric deformations of threefolds. Bulletin of the London Mathematical Society, 56(1), 423–443. https://doi.org/10.1112/blms.12942
Bernasconi, F., I. Brivio, and S. Filipazzi. “Arithmetic and geometric deformations of threefolds.” Bulletin of the London Mathematical Society 56, no. 1 (January 1, 2024): 423–43. https://doi.org/10.1112/blms.12942.
Bernasconi F, Brivio I, Filipazzi S. Arithmetic and geometric deformations of threefolds. Bulletin of the London Mathematical Society. 2024 Jan 1;56(1):423–43.
Bernasconi, F., et al. “Arithmetic and geometric deformations of threefolds.” Bulletin of the London Mathematical Society, vol. 56, no. 1, Jan. 2024, pp. 423–43. Scopus, doi:10.1112/blms.12942.
Bernasconi F, Brivio I, Filipazzi S. Arithmetic and geometric deformations of threefolds. Bulletin of the London Mathematical Society. 2024 Jan 1;56(1):423–443.
Published In
Bulletin of the London Mathematical Society
DOI
EISSN
1469-2120
ISSN
0024-6093
Publication Date
January 1, 2024
Volume
56
Issue
1
Start / End Page
423 / 443
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics