Periodic integrals and tautological systems

Bong H. Lian; Ruifang Song; Shing-Tung Yau

Journal of the European Mathematical Society (2013)

  • Volume: 015, Issue: 4, page 1457-1483
  • ISSN: 1435-9855

Abstract

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We study period integrals of CY hypersurfaces in a partial flag variety. We construct a regular holonomic system of differential equations which govern the period integrals. By means of representation theory, a set of generators of the system can be described explicitly. The results are also generalized to CY complete intersections. The construction of these new systems of differential equations has lead us to the notion of a tautological system.

How to cite

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Lian, Bong H., Song, Ruifang, and Yau, Shing-Tung. "Periodic integrals and tautological systems." Journal of the European Mathematical Society 015.4 (2013): 1457-1483. <http://eudml.org/doc/277436>.

@article{Lian2013,
abstract = {We study period integrals of CY hypersurfaces in a partial flag variety. We construct a regular holonomic system of differential equations which govern the period integrals. By means of representation theory, a set of generators of the system can be described explicitly. The results are also generalized to CY complete intersections. The construction of these new systems of differential equations has lead us to the notion of a tautological system.},
author = {Lian, Bong H., Song, Ruifang, Yau, Shing-Tung},
journal = {Journal of the European Mathematical Society},
keywords = {Calabi-Yau; period integrals; Picard-Fuchs systems; partial flag varieties; Calabi-Yau; period integrals; Picard-Fuchs systems; partial flag varieties},
language = {eng},
number = {4},
pages = {1457-1483},
publisher = {European Mathematical Society Publishing House},
title = {Periodic integrals and tautological systems},
url = {http://eudml.org/doc/277436},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Lian, Bong H.
AU - Song, Ruifang
AU - Yau, Shing-Tung
TI - Periodic integrals and tautological systems
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 4
SP - 1457
EP - 1483
AB - We study period integrals of CY hypersurfaces in a partial flag variety. We construct a regular holonomic system of differential equations which govern the period integrals. By means of representation theory, a set of generators of the system can be described explicitly. The results are also generalized to CY complete intersections. The construction of these new systems of differential equations has lead us to the notion of a tautological system.
LA - eng
KW - Calabi-Yau; period integrals; Picard-Fuchs systems; partial flag varieties; Calabi-Yau; period integrals; Picard-Fuchs systems; partial flag varieties
UR - http://eudml.org/doc/277436
ER -

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