Cracked polytopes and Fano toric complete intersections
2019 ◽
Vol 163
(1-2)
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pp. 165-183
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Keyword(s):
Abstract We introduce the notion of cracked polytope, and – making use of joint work with Coates and Kasprzyk—construct the associated toric variety X as a subvariety of a smooth toric variety Y under certain conditions. Restricting to the case in which this subvariety is a complete intersection, we present a sufficient condition for a smoothing of X to exist inside Y. We exhibit a relative anti-canonical divisor for this smoothing of X, and show that the general member is simple normal crossings.
Keyword(s):
2013 ◽
Vol 150
(3)
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pp. 369-395
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2019 ◽
Vol 21
(02)
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pp. 1850011
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Keyword(s):
2019 ◽
Vol 29
(07)
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pp. 1165-1191
1976 ◽
Vol 61
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pp. 103-111
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2012 ◽
Vol 22
(06)
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pp. 1250049
2013 ◽
Vol 149
(6)
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pp. 1041-1060
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