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We explain an effective Kawamata boundedness result for Mori-Fano 3-folds.
On graded rings. I
Shiro Goto and Keiichi Watanabe · 1978
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Fano threefolds. II
V. A. Iskovskih · 1978
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Canonical 3 3 -folds
Miles Reid · 1980
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Classification of Fano 3 3 -folds with B 2 ≥ 2 B_{2}\geq 2
Shigefumi Mori and Shigeru Mukai · 1981
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Constructing big Gorenstein ideals from small ones
Andrew R. Kustin and Matthew Miller · 1983
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On the plurigenera of minimal algebraic 3 3 -folds with K ∼ 0 K\sim 0
Yujiro Kawamata · 1986
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Contributions to Riemann-Roch on projective 3 3 -folds with only canonical singularities and applications
A. R. Fletcher · 1987
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Young person’s guide to canonical singularities
Miles Reid · 1987
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Flip theorem and the existence of minimal models for 3 3 -folds
Shigefumi Mori · 1988
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Inverting Reid’s exact plurigenera formula
A. R. Fletcher · 1989
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Some birational maps of Fano 3 3 -folds
Kiyohiko Takeuchi · 1989
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Boundedness of ℚ \mathbb{Q} -Fano threefolds
Yujiro Kawamata · 1992
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The Magma algebra system. I. The user language
Wieb Bosma, John Cannon, and Catherine Playoust · 1993
Earlier work this paper cites.
Projective threefolds containing a smooth rational surface with ample normal bundle
F. Campana and H. Flenner · 1993
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On classifications of non-Gorenstein 𝐐 {\bf Q} -Fano 3 3 -folds of Fano index 1 1
Takeshi Sano · 1995
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Classification of non-Gorenstein 𝐐 {\bf Q} -Fano d d -folds of Fano index greater than d − 2 d-2
Takeshi Sano · 1996
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The versal deformation of an isolated toric Gorenstein singularity
Klaus Altmann · 1997
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Smoothing Fano 3 3 -folds
Yoshinori Namikawa · 1997
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Graded Rings Corresponding to Polarised K3 Surfaces and ℚ {\mathbb{Q}} -Fano 3-folds
Selma Altınok · 1998
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Classification of reflexive polyhedra in three dimensions
Maximilian Kreuzer and Harald Skarke · 1998
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Boundedness of Fano 3-folds of integer index
I. A. Cheltsov · 1999
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Fano varieties
V. A. Iskovskikh and Yu. G. Prokhorov · 1999
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One parameter families containing three-dimensional toric-Gorenstein singularities
Klaus Altmann · 2000
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Fano 3 3 -fold hypersurfaces
Alessio Corti, Aleksandr Pukhlikov, and Miles Reid · 2000
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Working with weighted complete intersections
A. R. Iano-Fletcher · 2000
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Boundedness of canonical ℚ \mathbb{Q} -Fano 3-folds
János Kollár, Yoichi Miyaoka, Shigefumi Mori, and Hiromichi Takagi · 2000
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Fano hypersurfaces in weighted projective 4-spaces
Jennifer M. Johnson and János Kollár · 2001
Cited alongside, same era.
Fano 3-folds, K 3 K3 surfaces and graded rings
Selma Altınok, Gavin Brown, and Miles Reid · 2002
Cited alongside, same era.
Weighted Grassmannians
Alessio Corti and Miles Reid · 2002
Cited alongside, same era.
Graded rings and birational geometry
Miles Reid · 2002
Cited alongside, same era.
On classification of ℚ \mathbb{Q} -Fano 3-folds of Gorenstein index 2. I, II
Hiromichi Takagi · 2002
Cited alongside, same era.
Cascades of projections from log del Pezzo surfaces
Miles Reid and Kaori Suzuki · 2003
Cited alongside, same era.
Birational geometry of 3-fold Mori fibre spaces
Terminal Fano threefolds and their smoothings
Priska Jahnke and Ivo Radloff · 2011
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Constructing projective varieties in weighted flag varieties
Muhammad Imran Qureshi and Balázs Szendrői · 2011
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Minkowski polynomials and mutations
Mohammad Akhtar, Tom Coates, Sergey Galkin, and Alexander M. Kasprzyk · 2012
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Fano 3-folds in codimension 4, Tom and Jerry. Part I
Gavin Brown, Michael Kerber, and Miles Reid · 2012
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Versal deformations and local Hilbert schemes
Nathan Owen Ilten · 2012
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Mirror symmetry and Fano manifolds
Tom Coates, Alessio Corti, Sergey Galkin, Vasily Golyshev, and Alexander M. Kasprzyk · 2013
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Gavin Brown, Alessio Corti, and Francesco Zucconi · 2004
Cited alongside, same era.
Kustin-Miller unprojection with complexes
Stavros Argyrios Papadakis · 2004
Cited alongside, same era.
Kustin-Miller unprojection without complexes
Stavros Argyrios Papadakis and Miles Reid · 2004
Cited alongside, same era.
On Fano indices of ℚ \mathbb{Q} -Fano 3-folds
Kaori Suzuki · 2004
Cited alongside, same era.
Hyperelliptic and trigonal Fano threefolds
I. A. Cheltsov, V. V. Przhiyalkovskiĭ, and K. A. Shramov · 2005
Cited alongside, same era.
The degree of Fano threefolds with canonical Gorenstein singularities
Yu. G. Prokhorov · 2005
Cited alongside, same era.
Fano threefolds with canonical Gorenstein singularities and big degree
Ilya Karzhemanov · 2015
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On terminal Fano 3-folds with 2-torus action
Benjamin Bechtold, Jürgen Hausen, Elaine Huggenberger, and Michele Nicolussi · 2016
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Four-dimensional projective orbifold hypersurfaces
Gavin Brown and Alexander M. Kasprzyk · 2016
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Hilbert schemes and toric degenerations for low degree Fano threefolds
Jan Arthur Christophersen and Nathan Ilten · 2016
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Quantum periods for 3-dimensional Fano manifolds
Tom Coates, Alessio Corti, Sergey Galkin, and Alexander M. Kasprzyk · 2016
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On ℚ \mathbb{Q} -Fano 3-folds of Fano index 2
Yuri Prokhorov and Miles Reid · 2016
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Corrigendum to ‘On terminal Fano 3-folds with 2-torus action’
Benjamin Bechtold, Jürgen Hausen, Elaine Huggenberger, and Michele Nicolussi · 2017
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Fano 3-folds in ℙ 2 × ℙ 2 \mathbb{P}^{2}\times\mathbb{P}^{2} format, Tom and Jerry
Gavin Brown, Alexander M. Kasprzyk, and Muhammad Imran Qureshi · 2018
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Gorenstein formats, canonical and Calabi–Yau threefolds
Gavin Brown, Alexander M. Kasprzyk, and Lei Zhu · 2019
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On deformations of toric Fano varieties
Andrea Petracci · 2019
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Hodge numbers and deformations of Fano 3-folds
Gavin Brown and Enrico Fatighenti · 2020
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Constructing Fano 3-folds from cluster varieties of rank 2
Stephen Coughlan and Tom Ducat · 2020
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Some examples of non-smoothable Gorenstein Fano toric threefolds
Andrea Petracci · 2020
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Singularities of linear systems and boundedness of Fano varieties
Caucher Birkar · 2021
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Maximally mutable Laurent polynomials
Tom Coates, Alexander M. Kasprzyk, Giuseppe Pitton, and Ketil Tveiten · 2021
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Double unprojection of Fano 3-folds
Gavin Brown and Tom Ducat · 2022
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The Fano 3-fold database
Gavin Brown and Alexander M. Kasprzyk · 2022
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In progress, 2022
Tom Coates, Liana Heuberger, Alexander M. Kasprzyk, and Guiseppe Pitton · 2022
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On Type II unprojection
Rosemary Taylor · 2022
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