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Theta functions on varieties with effective anti-canonical class
by
Hacking, Paul
, Siebert, Bernd
, Gross, Mark
in
Algebraic geometry -- Surfaces and higher-dimensional varieties -- Calabi-Yau manifolds. msc
/ Algebraic geometry -- Surfaces and higher-dimensional varieties -- Fano varieties. msc
/ Algebraic geometry -- Surfaces and higher-dimensional varieties -- Mirror symmetry. msc
/ Calabi-Yau manifolds
/ Functions, Theta
/ Mirror symmetry
/ Surfaces, Algebraic
2022
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Theta functions on varieties with effective anti-canonical class
by
Hacking, Paul
, Siebert, Bernd
, Gross, Mark
in
Algebraic geometry -- Surfaces and higher-dimensional varieties -- Calabi-Yau manifolds. msc
/ Algebraic geometry -- Surfaces and higher-dimensional varieties -- Fano varieties. msc
/ Algebraic geometry -- Surfaces and higher-dimensional varieties -- Mirror symmetry. msc
/ Calabi-Yau manifolds
/ Functions, Theta
/ Mirror symmetry
/ Surfaces, Algebraic
2022
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Do you wish to request the book?
Theta functions on varieties with effective anti-canonical class
by
Hacking, Paul
, Siebert, Bernd
, Gross, Mark
in
Algebraic geometry -- Surfaces and higher-dimensional varieties -- Calabi-Yau manifolds. msc
/ Algebraic geometry -- Surfaces and higher-dimensional varieties -- Fano varieties. msc
/ Algebraic geometry -- Surfaces and higher-dimensional varieties -- Mirror symmetry. msc
/ Calabi-Yau manifolds
/ Functions, Theta
/ Mirror symmetry
/ Surfaces, Algebraic
2022
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Theta functions on varieties with effective anti-canonical class
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Theta functions on varieties with effective anti-canonical class
2022
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Overview
We show that a large class of maximally degenerating families of
We anticipate that wall structures can be
constructed quite generally from maximal degenerations. The construction given here then provides the homogeneous coordinate ring of the
mirror degeneration along with a canonical basis. The appearance of a canonical basis of sections for certain degenerations points
towards a good compactification of moduli of certain polarized varieties via stable pairs, generalizing the picture for K3 surfaces
[Gross, Hacking, Keel, and Siebert,
Publisher
American Mathematical Society
Subject
ISBN
9781470452971, 1470452979
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