Geometry & Topology Volume 25, issue 4 (2021)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP journals

Blowups with log canonical singularities

Gregory Sankaran and Francisco Santos

Geometry & Topology 25 (2021) 2145–2166

DOI: 10.2140/gt.2021.25.2145

Bibliography

1	R E Anno, Four-dimensional terminal Gorenstein quotient singularities, Mat. Zametki 73 (2003) 813 MR2010650
2	M Barile, D Bernardi, A Borisov, J M Kantor, On empty lattice simplices in dimension 4, Proc. Amer. Math. Soc. 139 (2011) 4247 MR2823070
3	C Birkar, Anti-pluricanonical systems on Fano varieties, Ann. of Math. 190 (2019) 345 MR3997127
4	M Blanco, C Haase, J Hofmann, F Santos, The finiteness threshold width of lattice polytopes, Trans. Amer. Math. Soc. Ser. B 8 (2021) 399 MR4249633
5	J W Bober, Factorial ratios, hypergeometric series, and a family of step functions, J. Lond. Math. Soc. 79 (2009) 422 MR2496522
6	A Borisov, On classification of toric singularities, J. Math. Sci. (New York) 94 (1999) 1111 MR1703910
7	Y Chen, On singularities of threefold weighted blowups, J. Math. Soc. Japan (2021) 1
8	C A J Hurkens, Blowing up convex sets in the plane, Linear Algebra Appl. 134 (1990) 121 MR1060014
9	Ó Iglesias-Valiño, F Santos, The complete classification of empty lattice 4–simplices, Rev. Mat. Iberoam. (2021)
10	M Kawakita, Divisorial contractions in dimension three which contract divisors to smooth points, Invent. Math. 145 (2001) 105 MR1839287
11	J Lawrence, Finite unions of closed subgroups of the n–dimensional torus, from: "Applied geometry and discrete mathematics" (editors P Gritzmann, B Sturmfels), DIMACS Ser. Discrete Math. Theoret. Comput. Sci. 4, Amer. Math. Soc. (1991) 433 MR1116368
12	S Mori, D R Morrison, I Morrison, On four-dimensional terminal quotient singularities, Math. Comp. 51 (1988) 769 MR958643
13	D R Morrison, G Stevens, Terminal quotient singularities in dimensions three and four, Proc. Amer. Math. Soc. 90 (1984) 15 MR722406
14	T Oda, Convex bodies and algebraic geometry, 15, Springer (1988) MR922894
15	G K Sankaran, Stable quintuples and terminal quotient singularities, Math. Proc. Cambridge Philos. Soc. 107 (1990) 91 MR1021875
16	G K White, Lattice tetrahedra, Canad. J. Math. 16 (1964) 389 MR161837