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Graded Ring Database

A database of graded rings in algebraic geometry, including classifications of toric varieties, polarised K3 surfaces, Fano 3-folds and 4-folds.

http://grdb.co.uk/

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Graded Ring Database | grdb.co.uk Reviews
<META>
DESCRIPTION
A database of graded rings in algebraic geometry, including classifications of toric varieties, polarised K3 surfaces, Fano 3-folds and 4-folds.
<META>
KEYWORDS
1 warnings
2 graded ring database
3 search the database
4 surfaces
5 toric l reflexive surfaces
6 k3 surfaces
7 or big table
8 elliptic k3 surfaces
9 3 folds
10 fano 3 folds
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warnings,graded ring database,search the database,surfaces,toric l reflexive surfaces,k3 surfaces,or big table,elliptic k3 surfaces,3 folds,fano 3 folds,calabi yau 3 fold hypersurfaces,calabi yau 3 orbifolds,canonical 3 folds,4 folds,miscellaneous
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Graded Ring Database | grdb.co.uk Reviews

https://grdb.co.uk

A database of graded rings in algebraic geometry, including classifications of toric varieties, polarised K3 surfaces, Fano 3-folds and 4-folds.

INTERNAL PAGES

grdb.co.uk grdb.co.uk
1

3d Minkowski period sequences

http://www.grdb.co.uk/forms/period3

3d Minkowski period sequences. This returns a list of possible three-dimensional Minkowski period sequences that match the given data. Data fields are optional and may contain only partial information. Find by database ID. Eg 1 or 1,2,3,4. This data is provided by Tom Coates. Further details can be found in:. T Coates, A Corti, S Galkin, V Golyshev, A M Kasprzyk, Mirror Symmetry and Fano Manifolds. M Akhtar, T Coates, S Galkin, A M Kasprzyk, Minkowski Polynomials and Mutations. SIGMA 8, 2012, pp. 707.

2

K3 surfaces

http://www.grdb.co.uk/misc/k3table.php

Geography of the K3 database. Click any number to get the K3 surfaces in the database with genus equal to the column heading and codimension the row heading. This data is provided by Selma Altinok. Further details can be found in:. G Brown, A database of polarized K3 surfaces. Experiment. Math. 16 (1), 2007, 7-20. S Altinok, G Brown, M Reid, Fano 3-folds, K3 surfaces and graded rings. Topology and geometry: commemorating SISTAG, Contemp. Math., 314 (2002), 25-53.

3

Fano 4-fold terminal wps

http://www.grdb.co.uk/forms/toric4wps

Fano 4-fold terminal wps. List of terminal Fano weighted projective spaces P. Of dimension 4 that match the given data. Find by database ID. Eg 1 or 1,2,3,4. This data is provided by Alexander Kasprzyk.

4

Calabi-Yau 3-fold hypersurfaces

http://www.grdb.co.uk/forms/cy3hsf

This returns a list of polarised Calabi-Yau 3-fold quasismooth hypersurfaces X,A that match the given data. Data fields are optional and may contain only partial information. Find by database ID. Eg 1 or 1,2,3,4. This data is provided by Maximilian Kreuzer. And Harald Skarke. It originally appeared as part of the PALP database.

5

3d Minkowski period sequences

http://www.grdb.co.uk/misc/morimukai.php

3d Minkowski period sequences. This data is provided by Tom Coates. Further details can be found in:. T Coates, A Corti, S Galkin, V Golyshev, A M Kasprzyk, Mirror Symmetry and Fano Manifolds. M Akhtar, T Coates, S Galkin, A M Kasprzyk, Minkowski Polynomials and Mutations. SIGMA 8, 2012, pp. 707. Please cite one of the above references if you use this data.

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magma.maths.usyd.edu.au magma.maths.usyd.edu.au

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http://magma.maths.usyd.edu.au/magma/links

Computer • algebra. This page contains links to computational algebra sites. If you would like us to link to another similar site, please contact us. Of Finite Group Representations. Page of graphs, trees, and other combinatorial data. The Graded Ring Database. Includes classifications of toric varieties, polarised K3 surfaces, and Fano 3-folds and 4-folds. Centres for computational algebra. The Computer Algebra Information Network. Computational Algebraic Number Theory research group. Magma is maintaine...

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Graded Ring Database

A database of graded rings in algebraic geometry, including classifications of toric varieties, polarised K3 surfaces, and Fano 3-folds and 4-folds. Toric log del Pezzo surfaces. Toric terminal Fano 3-folds. Toric canonical Fano 3-folds. 3d Minkowski period sequences. Fano 4-fold terminal wps. Quasismooth Fano 4-fold hypersurfaces. Quasismooth Calabi-Yau 4-fold hypersurfaces. Quasismooth 4-fold hypersurfaces of general type. Smooth toric Fano varieties.

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Graded Ring Database

The Graded Ring Database has moved to. A database of graded rings in algebraic geometry, including classifications of toric varieties, polarised K3 surfaces, and Fano 3-folds and 4-folds. Toric log del Pezzo surfaces. Toric terminal Fano 3-folds. Toric canonical Fano 3-folds. 3d Minkowski period sequences. Fano 4-fold terminal wps. Quasismooth Fano 4-fold hypersurfaces. Quasismooth Calabi-Yau 4-fold hypersurfaces. Quasismooth 4-fold hypersurfaces of general type. Smooth toric Fano varieties.

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