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Complete Mirror Pairs and Their Naiv...

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Complete Mirror Pairs and Their Naive Stringy Hodge Numbers.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	Complete Mirror Pairs and Their Naive Stringy Hodge Numbers./
Author:	Fitzpatrick, Brian David.
Description:	1 online resource (134 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
Contained By:	Dissertation Abstracts International78-09B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9781369721577

Complete Mirror Pairs and Their Naive Stringy Hodge Numbers.
Fitzpatrick, Brian David.

Complete Mirror Pairs and Their Naive Stringy Hodge Numbers. - 1 online resource (134 pages)

Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

The Batyrev-Borisov construction associates a to dual pair of nef-partitions Delta = Delta1 +&dot;&dot;&dot;&dot; ... + Deltac and&dtri; = &dtri;1 +&dot;&dot;&dot;&dot; ... + Delta c a pair of Calabi-Yau complete intersections (YDelta 1,...,Deltac, YDelta1,...,Delta c) in Gorenstein Fano toric varieties(XDelta, X&dtri; These Calabi-Yau varieties are singular in general. Batyrev and Nill have developed a generating function $\Est$ for the stringy Hodge numbers of Batyrev-Borisov mirror pairs. This function depends solely on the combinatorics of the nef-partitions and, under this framework, Batyrev-Borisov mirror pairs pass the stringy topological mirror symmetry test hp,q st(YDelta1,...,Deltac) = h p,q st(YDelta1,...,Deltac.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9781369721577Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

Complete Mirror Pairs and Their Naive Stringy Hodge Numbers.
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035 $a AAI10261226
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Fitzpatrick, Brian David. $3 1180632
245 1 0 $a Complete Mirror Pairs and Their Naive Stringy Hodge Numbers.
264 0 $c 2017
300 $a 1 online resource (134 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 78-09(E), Section: B.
500 $a Adviser: Paul S. Aspinwall.
502 $a Thesis (Ph.D.) $c Duke University $d 2017.
504 $a Includes bibliographical references
520 $a The Batyrev-Borisov construction associates a to dual pair of nef-partitions Delta = Delta1 +&dot;&dot;&dot;&dot; ... + Deltac and&dtri; = &dtri;1 +&dot;&dot;&dot;&dot; ... + Delta c a pair of Calabi-Yau complete intersections (YDelta 1,...,Deltac, YDelta1,...,Delta c) in Gorenstein Fano toric varieties(XDelta, X&dtri; These Calabi-Yau varieties are singular in general. Batyrev and Nill have developed a generating function $\Est$ for the stringy Hodge numbers of Batyrev-Borisov mirror pairs. This function depends solely on the combinatorics of the nef-partitions and, under this framework, Batyrev-Borisov mirror pairs pass the stringy topological mirror symmetry test hp,q st(YDelta1,...,Deltac) = h p,q st(YDelta1,...,Deltac.
520 $a Recently, Aspinwall and Plesser have defined the notion of a complete non-reflexive mirror pair (A , B) and used this notion to study Calabi-Yau complete intersections in non-Gorenstein toric varieties. Complete mirror pairs generalize the notion of a dual pair of almost reflexive Gorenstein cones (sigma,sigma·) developed by Mavlyutov to propose a generalization of the Batyrev-Borisov mirror construction. The only known example of either of these two notions is the complete intersection of a quintic and a quadric in P5211111. We construct 2152 distinct examples of complete mirror pairs and 1077 distinct examples of dual pairs of almost reflexive Gorenstein cones. Additionally, we propose a generalization of Batyrev and Nill's stringy E-function, called the naive stringy E-function E˜st, that is well-defined for complete mirror pairs.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a Duke University. $b Mathematics. $3 1180607
773 0 $t Dissertation Abstracts International $g 78-09B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10261226 $z click for full text (PQDT)

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