Quasismooth Fano 4-fold hypersurfaces

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This returns a list of quasismooth 4-fold hypersurfaces X_d ⊂ P⁵(w₀,...,w₅) with K_X = O_X(−1) that match the given data. Data fields are optional and may contain only partial information.

Weights	w₀,...,w₅	e.g. 1,1,3,27
Degree	(−K_X)⁴
Hilbert series	P_X(t)	1 + t + t² + t³ + t⁴ + t⁵ + t⁶ + t⁷ + t⁸ + ...
Equation degree	d
Point Basket	B_pt	e.g. 2x1/3(1,1,1,1),1/5(1,1,2,2)
	#B_pt
Curve Basket	B_cv	e.g. 1/3(1,1,1)
	#B_cv
Surface Basket	B_sf	e.g. 1/3(2,2)
	#B_sf
Nonsingular
Terminal
Canonical
Kaehler-Einstein
In a series

Authors and references

This data is provided by Gavin Brown and Alexander Kasprzyk.

Further details can be found in:

G Brown, A M Kasprzyk, "Four-dimensional projective orbifold hypersurfaces", arXiv:1503.02288 (2015)^[BibTeX]

Please consider citing the above reference if you use this data.

Quasismooth Fano 4-fold hypersurfaces

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Authors and references