Constructing Q-Fano 3-folds à la Prokhorov & Reid

Tom Ducat

doi:10.1112/blms.12150

Constructing Q-Fano 3-folds à la Prokhorov & Reid

Tom Ducat^*

^*Corresponding author for this work

School of Mathematics

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Abstract

We generalise a construction by Prokhorov & Reid of two families of Q -Fano 3-folds of index 2 to obtain five more families of Q -Fano 3-folds; four of index 2 and one of index 3. Two of the families constructed have the same Hilbert series and we study these cases in more detail.

Original language	English
Pages (from-to)	420-434
Number of pages	15
Journal	Bulletin of the London Mathematical Society
Volume	50
Issue number	3
Early online date	6 Apr 2018
DOIs	https://doi.org/10.1112/blms.12150
Publication status	Published - 4 Jun 2018

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abstract = "We generalise a construction by Prokhorov & Reid of two families of Q -Fano 3-folds of index 2 to obtain five more families of Q -Fano 3-folds; four of index 2 and one of index 3. Two of the families constructed have the same Hilbert series and we study these cases in more detail.",

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AU - Ducat, Tom

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N2 - We generalise a construction by Prokhorov & Reid of two families of Q -Fano 3-folds of index 2 to obtain five more families of Q -Fano 3-folds; four of index 2 and one of index 3. Two of the families constructed have the same Hilbert series and we study these cases in more detail.

AB - We generalise a construction by Prokhorov & Reid of two families of Q -Fano 3-folds of index 2 to obtain five more families of Q -Fano 3-folds; four of index 2 and one of index 3. Two of the families constructed have the same Hilbert series and we study these cases in more detail.

UR - http://www.scopus.com/inward/record.url?scp=85045102703&partnerID=8YFLogxK

UR - https://arxiv.org/abs/1610.01773

U2 - 10.1112/blms.12150

DO - 10.1112/blms.12150

M3 - Article (Academic Journal)

AN - SCOPUS:85045102703

SN - 0024-6093

VL - 50

SP - 420

EP - 434

JO - Bulletin of the London Mathematical Society

JF - Bulletin of the London Mathematical Society

IS - 3

ER -

Constructing Q-Fano 3-folds à la Prokhorov & Reid

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