---
title: "Bibliography"
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source: "https://docs.magma-maths.org/AlgebraicGeometry/HilbertSeriesOfPolarisedVarieties/bibliography.md"
part: "Algebraic Geometry"
chapter: "Hilbert Series of Polarised Varieties"
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  - {"title": "Algebraic Geometry", "source": "../index-algebraic-geometry.md"}
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---

# Bibliography

<a id="cite-altinok"></a>
- **[Alt98]** Selma Altnok. *Graded Rings Corresponding to Polarised K3 Surfaces and Q-Fano $3$-folds*. PhD thesis, University of Warwick, 1998. http://www.maths.warwick.ac.uk/ miles/students/Selma/.
<a id="cite-abr"></a>
- **[ABR02]** Selma Altnok, Gavin Brown, and Miles Reid. Fano 3-folds, $K3$ surfaces and graded rings. In *Topology and geometry: commemorating SISTAG*, volume 314 of Contemp. Math., pages 25–53. Amer. Math. Soc., Providence, RI, 2002.
<a id="cite-b"></a>
- **[Bro03]** Gavin Brown. Datagraphs in algebraic geometry. In *Symbolic and Numerical Scientific Computing – Proc. of SNSC'01*, volume 2630 of LNCS. Heidelberg, 2003. Springer-Verlag. F. Winkler and U. Langer (eds.).
<a id="cite-buc"></a>
- **[Buc03]** Anita Buckley. *Orbifold Riemann-Roch for 3-folds and applications to Calabi-Yaus*. PhD Thesis, Warwick University, 2003.
<a id="cite-elsenhans-jahnel-weil-polynomials-k3"></a>
- **[EJ10b]** Andreas-Stephan Elsenhans and Jörg Jahnel. Weil polynomials of K3 surfaces. In *Algorithmic number theory*, volume 6197 of Lecture Notes in Computer Science, 126–141. Berlin, 2010. Springer.
<a id="cite-fletcher"></a>
- **[IF00]** Anthony Iano-Fletcher. Working with weighted complete intersections. In A. Corti and M. Reid, editors, *Explicit birational geometry of $3$-folds*, pages 101 – 173. CUP, Cambridge, 2000.
<a id="cite-krsk"></a>
- **[KS00b]** Maximilian Kreuzer and Harald Skarke. Complete classification of reflexive polyhedra in four dimensions. *Adv. Theor. Math. Phys.*, 4(6):1209–1230, 2000.
<a id="cite-matsumura"></a>
- **[Mat89]** H. Matsumura. *Commutative ring theory*. CUP, ACUP, 1989.
<a id="cite-p"></a>
- **[Pap03]** S. Papadakis. Kustin–Miller unprojection with complexes. *J. Algebraic Geometry*, 2003.
<a id="cite-kinosaki00"></a>
- **[Rei00]** Miles Reid. Graded rings and birational geometry. In K. Ohno, editor, *Proc. of algebraic geometry symposium (Kinosaki)*, pages 1 – 72. 2000.
<a id="cite-suz"></a>
- **[Suz]** K. Suzuki. On Fano indices of Q-Fano 3-folds. Available as math.AG/0210309 on arXiv.
<a id="cite-szbuc"></a>
- **[SB]** B. Szendroi and A. Buckley. Orbifold Riemann-Roch for threefolds with an application to Calabi-Yau geometry. math.AG/0309033.